『乱流の科学』文献リスト完全版（6631.2KB・pdf）

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『乱流の科学』文献リスト（2021.2.13）

［第 1 章 小史および全般］（暦年順）

Navier, C. L. M. H. 1823. Memoire sur leslois du mouvement des fluides. Mem.Acad. R. Sci.6, 389-441. Navier, C. L. 1827 Mémoires de L’Académie Royale des Sciences de L’Institute de France VI, 389

[Navier 論文の発表年は，Sutera,S.P. &Skalak,R.(1993)では 1823, Lamb,H.(1932, p.577)では 1822]. [Poiseuille の論文は 1840 以降でも多数あり，アルファベッド順の参考文献ファイル中の SuteraS.P. &Skalak,R. (1993)に挙げている. また，Bistafa, Sylvio R. (2018)も参照].

［乱流の発見］

Hagen,G. 1839 Über die Bewegung des Wassers in engencylindrischenRöhren. (On the motion of water in narrow cylindrical tubes). Poggendorf ’s. Annalen der Physik und Chemie, 46, p.423-442.

[Prandtl &Tietjens, p.15: この論文は主に層流状態についての抵抗則を取り扱っているが，それにはある 限界が存在することが指摘されている]

Poiseuille,Jean Louis 1840 Recherchesexpérimentales sur le mouvement des liquides dans les tubes de très petits diametres. III Influence du diamètre sur la quantitéde liquid qui traverse les tubes de très petits

diametres.Compte-rendushebdomadaires des Seances de l’Academie des Sciences .11, 1041-1048.

Poiseuille,Jean Louis 1841 Recherchesexperimentales sur le mouvement des liquides dans les tubes de tres petits diametres, Compte-rendushebdomadaires des Seances de l’Academie des Sciences .

Stokes,G.G. 1845On the theories of the internal friction of fluids in motion, and of the equilibrium and motion of elastic solids, Trans. Camb. Phil. Soc. 8, pp287-319

Hagen,G. 1845 Über die OberflächeFlüssiskeiten. Annalen der Physik und Chemie, LXVII.

Poiseuille,Jean Louis 1847 Recherchesexpérimentales sur le mouvement des liquides de nature différente dans les tubes de très petits diamètres. CR de l'Académie des Sciences. (Ann. Cem.Phys. 3rd series, XXI, 76-110 (plus Plate II)－この出典はSutera, S.P. &Skalak, R. (1993)による)

Hagen,G. 1854 Über den Einfluss der Tempatatur auf die Bewegung des Wassers in Röhren (On the influence of temperature on the movement of water through pipes), Math. Abh. Akad. Wiss. Berlin, 17-98.

[Prandtl &Tietjens, p.29:ここでは，層流から乱流への遷移が速度のみならず粘性にも依存すると述べら れている]

Darcy,H. 1857 Recherchesexpérimentales relatives au movement de l’eaudans les tuyaux, Mallet-Bachelier, Paris. Hagen,G. 1869Bewegung des Wassers in cylindrischen, nahehorizontalenLeitungen. Abhandlungen der

KöniglichenAkadmie der Wissenschaftenzu Berlin, MathematischeKlasse, 1-29.

Boussinesq,J.V. 1877 Essai sur lathéoriedes eauxcourrantes. Mem. Acad. Sci. Paris 23, 1-680.

Rayleigh,Lord 1880 On the stability, or instability, of certain fluid motions.Proc. London Math. Soc. XI, 57-72. [変曲点不安定]

2

ofwatershall be director sinuous and the law of resistance in parallel channels. Phil.Trans. Roy. Soc., 174, 935-982.

[臨界レイノルズ数の発見]

Reynolds,O. 1895 On the dynamical theory of incompressible viscous fluids and the determination of the criterion. Phil. Trans. R. Soc. London A, 186, 123-164.

[レイノルズ方程式]

[Google, Launder 20-15; Schlichting &Gersten 2017]

Prandtl,L. 1904 ÜberFlüssigkeitsbewegungbeisehrkleinerReibung (Motion of fluids with very littleviscosity), in Verhandlungen des III Internationalen Mathematiker-Kongresses, Heidelberg, 1904, (Proc. 3rd Int. Math. Cong., Heidelberg) (B G Teubner, Leipzig), 484-491.

(N.A.C.A. Rep. TM 452, March 1928.) [境界層理論],「近代流体力学の嚆矢」

(VierAbhandlungenzurHydrodynamik und Aerodynamic, by L Prandtl and A Betz, Kaiser Wilhelm Inst. f. Strömungsforschung (Göttingen, 1927), 1-8)

Orr,W.M.F. 1907 The stability or instability of the steady motions of a liquid, Proc. R. Irish Acad. A 27, 9-27; 69-138

[線型安定理論の基礎方程式]

Bénard,H. 1908 Formation périodique de centres de giration à l'arrière d'un obstacle en movement. ComptesRendus de l'Académie des Sciences (Paris), vol. 147, pp. 839–842, 970–972.

「カルマン渦列」

Sommerfeld,A. 1908 Ein BeitragzurhydrodynamischenErklärung der turbulentenFlüssigkeitsbewegungen. Atti del IV CongressoInternationaledeiMatematici, Roma 1908, ( Roma 1909), III, 116-124.

[線型安定理論の基礎方程式]

Kármán,T. von 1911 Über den Mechanismus des Flüssigkeit- und Luftwinderstandes. GöttngerNachrichenGes. Wiss., Math.-Phys. K1asse 509.

[カルマン渦列の理論]

King,L.V. 1914 On the convection of heat from small cylinders in a stream of fluid: determination of the convection constants of small platinum wires with applications to hot-wire anemometry. Philosophical Transactions of the Royal Society of London. Series A 214 , 373-432.

[熱線流速計]

King,L.V. 1914 On the convection of heat from small cylinders in a stream of fluid: determination of the convection constants of small platinum wires, with applications to hot-wire anemometry, Proc. R. Soc. London90, 563-570. [熱線流速計]

Taylor,G.I. 1915 The transport of vorticity and heat through fluids in turbulent motion. Phil. Trans. A 215, 1 Taylor,G.I. 1915 Eddy motion in the atmosphere. Phil. Trans. Roy. Soc. A, 215, 1-26.

Taylor,G.I. 1921 Diffusion by continuous movements. Proc. London Math. Soc., Ser2, 20,196. [乱流拡散]

Richardson,L.F. 1922 Weather Prediction by Numerical Process. Cambridge Univ. Press. [p.66, line 16] [渦の詩，Richardson Process]

Heisenberg,W. 1924 ÜberStabilität und Turbulenz von Flüssigkeitströmen. Ann. Phys.Lpz. (4), 74, 577. [境界層の安定性]

［乱流の現象論］

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［混合長仮説］

Richardson,L.F. 1926 Atmospheric diffusion shown on a distance-neighbour graph. Proc. Roy. Soc. A, 110. 709. [relative diffusion, neighbour separation,2 粒子拡散, 4/3 乗則]

Prandtl,L. 1926 . Über die ausgebildeteTurbulenz, Proc. Int. Congr. for Applied Mechanics, Zurich, September 1926 (1926), 62-74: (On developed turbulence) NACA TM 435 (October 1927). Ministry of Supply TIB/T4299 (February 1955).

[混合距離仮説] ［流れの安定．遷移］

Heisenberg,W. 1924 ÜberStabilität und Turbulenz von Flüssigkeitströmen. Ann. Phys.Lpz. (4), 74, 577. [Blasius 速度分布の中立安定]

Keller,L. &Friedmann,A. 1924 Differentialgleichugenfür der turblenteBewegung der einerinkompressiblenFlüssigkeit. Proc. 1st Int. Congr. Appl. Mech. p.395.

Tollmien，W. 1929 Über die Entstehung der Turbulenz. Nachr. Ges. Wiss. Göttingen. Math-Phy. Kl. , 21-44. [Blasius 速度分布の中立安定]

［乱流の現象論(続)］

Kármán, von Th. 1930 MechanischeÄhnlichkeit and Turbulenz. Nachr. Ges. Wiss. Göttongen, Math. Phys. Klasse, (Nachrichten von der Gesellschaft der Wissenschaftenzu Göttingen, Fachgruppe 1 (Mathematik)) 58-76 and Proc. III Int. Congr. Appl. Mech., Stockholm, 1 ,85-93.

Also as: “Mechanical Similitude and Turbulence”, NACA Tech. Memo. No. 611 (1931) [similalityhypothess< Schlichting p.585], [law of wall<Wikipedia], [速度欠損則] Lamb,H. 1932 Hydrodynamics, 6th edition.

Prandtl,L. 1932 Ergebnisse.derAerodynamischen.VersuchsanstaltAnst.zuGottingen, 4, 18-29. [壁法則] (赤字は谷(1950, p60)による)

Prandtl,L. 1932 (with Albert Betz) Ergebnisse der AerodynamischenVersuchsanstaltzu Göttingen. IV. Lieferung (R Oldenbourg, München and Berlin, 1932)

Taylor,G.I. 1932 The transport of vorticity and heat through fluids in turbulent motion. Proc. Roy Soc. A135, 685-702. [渦度輸送理論]

Schlichting,H. 1933 ZurEntstehung der Turbulenzbei der Plattenströmung. Nachr. Ges. Wiss. Gettingen, Math.-Phys. Kl 1,182- (47-78).

[Blasius 速度分布の撹乱増幅曲線]

Prandtl,L. &Tietjens,O.G 1934 (translation 1957) Applied Hydro- and Aeromechanics. Dover Publ.

［乱流の統計理論］

Taylor,G.I. 1935 Statistical theory of turbulence, Parts I to IV. Proc. Royal Soc. London A 151, 421-478. [乱流統計理論]

Taylor,G.I. 1936 Statistical theory of turbulence, Part 5. Proc. Royal Soc. London A 156, 307. Izakson,A. 1937 On the formula for the velocity distribution near wall. Tech. Phys. SSSR4, 155-162 von Kármán,Th. 1937a On the statistical theory of turbulence. Proc. Nat. Acad. Sci., Wash., 23, 98. von Kármán,Th. 1937b The fundamentals of the statistical theory of turbulence. J. Aero. Sci.4, 131. Taylor,G.I. 1937 Statistical theory of isotropic turbulence. J. Aero. Sci. 4, 311.

Goldstein,S. 1938 Modern Developments in Fluid Dynamics, vols.I& II

von Kármán,Th. 1938 Some remarks on the statistical turbulence. Proc. 5th Int. Congr. Appl. Mech. p.347. Kármán, von Th. &Howarth,L. 1938 On the statistical theory of isotropic turbulence, Proc. Roy. Soc. Lond. A 1 Taylor,G.I. 1938a Production and dissipation of vorticity in a turbulent fluid. Proc. Roy. Soc. A 164, 15-23.

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Taylor,G.I. 1938b The spectrum of turbulence., Proc. Royal Soc. London A 164, 476

Taylor,G.I. 1938c Some recent developments in the study of turbulence. Proc.5th Int. Congr. Appl. Mech. p.294. Kampé de Fériet M.J. 1939 Les fonctionsaléatoiresstationnaires et la théoriestatistique de la turbulence homogène.

Ann. Soc. Sci. Bruxelles59, 145-210.

Millikan,C.B. 1939 A critical discussion of turbulent flow in channels and circular tubes. Proc. V. Int. Congr. Appl. Mech., Cambridge, Mass. 386-392.

[混合長仮説批判]

［コルモゴロフの局所等方性理論］

Kolmogorov,A.N. 1941The local structure of turbulence in incompressible viscous fluid for very large Reynolds number. C.R.Acad. Sci. USSR, 30, 301-305; 32, 16-18.

Reprinted in Proc. R. Soc. London A 434, 9-13 (1991) [局所等方性理論，スペクトル-5/3 乗則]

Obkhoff,A.M. 1941 On the distribution of energy in the spectrum of turbulent flow. C.R. Acad. Sci. U.R.S.S.32, 19 and Izv. Akad. Nauk. S.S.S.R., Ser. Geogr. I Geofiz.5, 453 (translation issued by Min. of Supply, England, as P211009T)

Schubauer,G.B. &Skramstad,H.K. 1943 Laminar boundary-layer oscillations and transition on a flat plate. NACA Tech. Rep. No.909 (1948)

[T-S 波の実験的発見]

谷 一郎 1943 境界層の遷移を後らせる翼型について．東大航研報告 250．[英訳：NACA TM 1351 [層流翼の設計]

［乱流構造の認識と解明］

Corrsin,S. 1943 Investigation of flow in an axially symmetric heated jet of air. NASA Report No. W-94, ACR. 3L23. Onsager,L. 1945 The distribution of energy in turbulence.(abstract only) Phys. Rev. 68, 286.

Vanoni,V.A. 1946 Transportation of suspended sediment by water, Trans. ASCE111, 63-133.

Batchelor,G.K 1947 Kolmogoroff’s theory of locally isotropic turbulence. Proc. Cambridge Phil. Soc. 43, 533. Schbauer,G.B. &Skramstad,H.K. 1947 Laminar boundary layer oscillations and stability of laminar flow, J. Aero. Sci.

14, 69-.78.( 1948 NACA Tech. Rep. No.909)

Heisenberg,W. 1948aZurstatistischenTheorie der Turbulenz. Z. Phys124, 628.

Heisenberg,W. 1948b On the theory of statistical and isotropic turbulence. Proc. Roy. Soc. A, 195, 402-406. Toms, B. A. 1948 Some observations on the flow of linear polymer solutions through straight tubes at large Reynolds numbers. Proc. 1st Intl Congress on Rheology. 2, 135–141.

[トームズ効果－長鎖高分子稀溶液の抵抗低減効果]

von Weizsäcker,C.F. 1948 Das Sepktrum der TurbulenzbeigrossenReynolds’schenZahlen. Z. Phys. 124, 614. Batchelor,G.K. 1949 The role of big eddies in homogeneous turbulence, Proc. Roy. Soc. A, 195, 513

Laufer,J. 1950 Investigation of turbulent flow in a two-dimensional channel, NACA Tech. Note No.2123.

谷 一郎 1950 乱流理論，金原出版．

Laufer,J. 1951 Investigation of turbulent flow in a two-dimensional channel. NACA Report 1053, (Supersedes Tech. Note No.2123)

Rotta,J. 1951 Zeitsch. Fur Physik, 129, 547-572; 131, 51-77. [2 方程式モデル]

Theodorsen, T. 1952 Mechanism of turbulence. In Proc. 2nd Midwestern Conf. of Fluid Mechanics, Ohio State University.

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Batchelor,G.K. 1953 The Homogeneous Turbulence, Cambridge University Press.

Kawaguchi,M, 1953 Numerical solution of the Navier Stokes equations for the flow around a circular cylinder at Reynolds number 40. J. Phys. Soc. Japan, 8, 747-757.

Laufer,J. 1953 The structure of turbulence in fully developed pipe flow,NACA Tech. Note No.2954 「パイプフローの統計量の正確な測定」

Monin,A.S. & Obukhov,A.M.1953 Dimensionless characteristics of turbulence in the atmospheric surface layer. Doklady An SSSR,No.93, 223-226; (1954) Basic turbulence mixing laws in the atmospheric surface layer. Trudy Geofiz. Inst. AN SSSR No.24, 163-187.

[大気接地気層相似理論]

Laufer,J. 1954 The structure of turbulence in fully developed pipe flow. NACA Report No.1174 Corrsin,S. &Kister,A.L. 1954 The free-stream boundaries of turbulent flows. NACA TN-3133.

Karman,T. von 1954 Aerodynamics, Selected topics in the light of their historical development. Cornell University Press.

Klebanoff,P.S. 1954 Characteristics of turbulence in a boundary layer with zero pressure gradient ． NACA Tech. Note No.3178.

Corrsin,S. &Kistler,A.L. 1955 Free-stream boundaries of turbulent flows. NACA Rep. no. 1244 (Supersedes NACA TN 3133)

Inoue,E. (井上栄一) 1955 穂波の研究 1．穂波の機構と特性．農業気象，11(1),18-22.

小倉義光 1955 大気乱流理論，地人書館．

Schlichting,H. 1955 Boundary Layer Theory, McGraw-Hill.

Corrsin,S.1956 Some current problems in turbulent shear flows. Symposium on Naval Hydrodynamics, National Academy of Science －National Reaeach Council, Washington, 377-407.

Einstein,H.A. &Li,H. 1956 The viscous sublayer along a smooth boundary. Proc. ASCE. 82, (EM2),945. [粘性底層の成長と崩壊による乱流維持機構 1 次元モデル]

Hanratty,T.J. 1956 Turbulence exchange of mass and momentum with a boundary. AIChE J., 2 (3), 359. [粘性底層の成長と崩壊による乱流維持機構 1 次元モデル]

Hama,R.F. 1956 Symp. on Naval Hydrodynamics (see, cited in Corrsin1956) [壁面上のストリークの発見]

フォン．カルマン谷一郎(訳)1956飛行の理論，p.78, (原題 AERODYNAMICS: Selected Topics in the Light of Their Historical Development 1954), 岩波書店．

Lin,C.C. 1956 The Theory of Hydrodynamic Stability, Cambridge Univ. Press. Townsend,A. 1956 The Structure of Turbulent Shear Flow, Cambridge Univ. Press

Corrsin,S. 1957 Some current problems in turbulent shear flows. Symp. Naval Hydrodyn., Publ. 515, National Academy of Science －National Reaeach Council, Washington, 377-407.

Hama,F.R., Long,J.D. &Hegarty,J.C, 1957 On transition from laminar to turbulent flow J. Appl. Phys. 28, 388. [壁面上のストリークの発見]

Rouse,H. ＆Ince,S. 1957 History of Hydraulics. Dover Publ.

Hinze,J.O. 1959 Turbulence, An Introduction to its Mechanism and Theory, McGraw-Hill.

Kline,S.J. &Rundstadler,P.W. 1959 Some preliminary results of visual studies of the flow model of the wall layers of the turbulent boundary layer. Trans. ASME, J.Appl. Mech. 26, ser.E,(2), 166-177.

[バースティングの初期的発表]

Priestley,C.H.B. 1959 Turbulent Transfer in the Lower Atmosphere, The University of Chicago Press.

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Chandrasekhar,S. 1961 Hydrodynamic and Hydromagnetic Stability, Cambridge Univ. Pres. Townsend,A.A. 1961 Equilibrium layers and wall turbulence. J. Fluid Mech. 11, 97-120.

Colloques Internationaux du Centre Nationale de la Recherche Scientifique 1962 Mecanique de la Turbulence, Editions du CNRS Paris (1962)

IUGG & IUTAM 1962 Fundamental problems in turbulence and their relation to Geophysics. J. Geophysical Research, 67 (8)

Kolmogorov,A.N. 1962 A refinement of previous hypothesis concerning the local structure of turbulence in incompressible viscous fluid at high Reynolds number. J. Fluid Mech. 13, 82-85.

Pasquill,P. 1962 Atmospheric Diffusion, van Nostrand.

巽 友正 1962 乱流，槇書店．

日野幹雄 1963 最近における乱流理論の工学への応用．日本機械学会誌 第 88 巻, 第 539 号，1627-1635. Inoue, E. 1963, On the turbulent structure of air flow within crop canopies, J. Met. Soc. Jpn. 41, 317-326.

［コンピューター時代，計測法の進歩］

Smagorinsky,J. 1963 General circulation experiments with the primitive equations. Month. Weather Rev. 91, 99-164. [LES]

Moin,A.S.&Yaglom,A.M. 1965 Statistical Fluid Mechanics (Translated from Russian). Vols. I & II, MIT Press ( also Dover Books on Physics 2007)

日野幹雄 1966 河川の乱流現象．土木学会，水工学シリーズA-66-07, 07-1~38.

Yeh,Y. & Cummings, H.Z.1966Localized fluid flow measurement with an He-Ne laser spectrometer, Appl. Phys. Lett. 4, 176-178.

[レーザー流速計]

Batchelor,G.K. 1967 An Introduction to Fluid Dynamics, Cambridge Univ. Press.

Kármán, von Th. (with Lee Edson) 1967 The Wind and Beyond. Little, Brown and Company, Boston.

Kline,S.J.,Reynolds,W.C., Schraub,F.A. &Rundstadler,P.W. 1967 The structure of the turbulent boundary layer. J. Fluid Mech. 30, 741-773.

「乱流研究の革命的論文」

Spalding, D.B. 1967 Heat and Mass Transfer. Sec. Rep. WF/TN/ 31, Imperial College. [k-ε 法]

谷 一郎 1967 流れ学 (岩波全書) 岩波書店

Allen,J., Barwell,F.T., Eckert,E.R.G., Williams,J.E.F., Hunt,J.N., Ippen,A.T., Lighthill,M.J., Silver,R.S., de Vries,M. &Walker,V. 1968 Osborne Reynolds and Engineering Science Today. Osborne Reynolds Centenary Symposium, Manchester Univ. Press.

Kline,S.J., Morkovin,M.V., Sovran,G. &Cockrell,D.J. 1968 Proc. Comp. of Turbulent Boundary Layers. FOSR-IFP-Stanford Conference.

[境界層発達計算の国際コンピティション－Kline Olympic]

谷 一郎 1968 研究の回顧．東京大学宇宙航空研究所報告 4 (2) 163-178.

Corino,E.R. &Brodkey,R.S. 1969A visual investigation of the wall region in turbulent flow J. Fluid Mech. 37, 1-30

Goldstein,S. 1969 Fluid mechanics in the first half of this century. Ann. Rev. Fluid Mech. 1, 1-28. 井上栄一 1969 乱子とともに．気象研究ノート100号記念号， 344-345.

Deardorff,J.W. 1970 A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers. J. Fluid Mech. 41, 453-480.

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Kovasznay,L.S.G., Kibens,V. &Blackwelder,R.F. 1970 Large-scale motion in the intermittent region of a turbulent boundary layer. J. Fluid Mech. 41, 283-326.

Gupta,A.K., Laufer,J.&Kaplan,R.E. 1971 Spatial structure in the viscous sublayer. J. Fluid Mech. 50, 493-512. 谷 一郎 1971 研究ノート;フルード数，レイノルズ数，マッハ数，プラントル数，ながれ 3-4; 1～6 Bradshaw,P. 1972 The understanding and prediction of turbulent flow. Aeronautical J.76, 403-417.

桑原真二 1972 流れの文様．Nagare (現．流体力学会誌ながれの前身)，6 (2),

Orszag,S.A. &Patterson,Jr.,G.S. 1972 Numerical simulation of turbulence. Statistical models and turbulence, (eds. M. Rosenblatt & C.W. Van Atta, Lecture Notes in Phys. 12, Springer, Berlin), p.127-147.

Orszag,S.A.&Patterson,Jr.,G.S. 1972 Numerical simulation of three-dimensional homogeneous isotropic turbulence. Phys. Rev. Lett.28, 76–79.

[N-S 方程式の初めての DNS(Direct Numerical Simulation]

Tennekes,H. and Lumley,J.L. 1972 A First Course in Turbulence. MIT Press.

Wallace,J.M., Eckelmann,H. &Brodkey,R.S. 1972 The wall region in turbulent shear flow. J. Fluid Mech. 54, 39-48. [ejection, sweep/ quadrant technique による定義付け ]

Willmarth,W.W. &Lu,S.S. 1972 Structure of the Reynolds stress near the wall. J. Fluid Mech.55, 65-.92． [4 象限分類法]

今井 功 1973 流体力学(前編), 裳華房

Lu,S.S. &Willmarth,W.W. 1973 Measurements of the structure of the Reynolds stress in a turbulent boundary layer. J. Fluid Mech. 60, 481-451.

[4 象限分類法]

Bradshaw,P. 1974 Possible origin of Prandtl’s mixing-length theory. Nature249, 135-136.

Brown,G.L. &Roshko,A. 1974 On density effects and large structure in mixing layer. J. Fluid Mech. 64, 775-816. 「壁乱流以外にも構造」

日野幹雄 1974 流体力学(理工学講座版)．朝倉書店．

Winant,C.D. &Browand,F.K. 1974 Vortex pairing : the mechanism of turbulent mixing layer growth at moderate Reynolds number. J. Fluid Mech. 63, 237-255, 256 (1)~(5).

Hinze,J.O.1975 Turbulence (Second edition), McGraw-Hill.

桑原真二 1975 渦．流水文様－古代におけるながれの観念から乱流を論ずる．数理科学no.140,60-63.

Launder,B.E., Reece,G.J. &Rodi,W. 1975 Progress in the development of a Reynolds-stress turbulence closure.J. Fluid Mech. 68, 537-566.

Offen,G.R. &Kline,S.J. 1975 A proposed model of the bursting process in turbulent boundary layer. J. Fluid Mech. 70, 209-228.

[ hairpin model to explain ejection & sweep]

Lilly,D.K. 1967 Proc. IBM Sci. Comp. Symp. Envir. Sci., IBM Form 320-1951, 195-210.

Willmarth,W.W. 1975 Structure of turbulence in boundary layers. In: Advances in Applied Mechanics. (Archive of Applied Mechanics), 159-254.

Batchelor,G.K. 1976 Geoffrey Ingram Taylor 1886-1975.Biogr. Mem. Roy. Soc. 22, 565-633.

Blackwelder,R.F. &Kaplan,R.E 1976On the wall structureofthe turbulent boundary layer.J. Fluid Mech.76, 89-120. 「ヘアーピン渦の実証」

Comte-Bellot,G. 1976 Hot-Wire Anemometry. Annual Review of Fluid Mechanics 8, 209-231 Launder,B.E. 1976 Heat and Mass Transport. Topics in Applied Physics12, Springer 231-287. Launder,B.E. &Spalding,D.E. 1972 Mathematical Models of Turbulence, Academic Press.

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Tani,I. 1977 Computer and Fluid Mechanics. Opening address delivered at Sixth Canadian Congress of Applied Mechanics, Vancouver.

Schlichting,H. 1979 Boundary Layer Theory－7th Edition, McGraw-Hill.

Kline,S.J., Cantwell,B.J. &Lilley,G.M. 1980-1981 AFOSR-HTTM-Stanford Conf. on Complex Turbulent flows. Comparison and Experiment.

谷 一郎(編) 1980 最近の流体力学の進歩－乱流，丸善．

Batchelor,G.K. 1981 Preoccupations of a journal editor. J. Fluid Mech. 106, 1-25.

谷 一郎 1981 フォン･カルマン生誕百年．科学 51,323～328

Moin,P. &Kim,J. 1982 Numerical investigation of turbulent channel flow. J. Fluid Mech.118, 341-377. [LES による 50 万格子チャンネル乱流のシミュレーション]

Perry,A.E. &Chong,M.S. 1982 On the mechanism of wall turbulence. J. Fluid Mech. 119, 173-217.

佐藤浩 1982 乱流，共立出版．

巽 友正 1982 流体力学 培風社

Van Dyke,M. 1982 An Album of Fluid Motion, Parabolic Press. 「流体現象の見事な写真集」

Hussain, A.K.M.F. 1983 Coherent structures and incoherent turbulence. Turbulence and Chaotic Phenomena in Fluids,(ed. T. Tatsumi), 453-460, North-Holland. 1983.

Rogallo,R.S. &Moin,P. 1984Numerical simulation of turbulent flows. Ann. Rev. Fluid Mech., 16, 99-137.

谷一郎 1985 我が国の流体力学の先覚を語る. ながれ4, 3-8

Adrian,R.J., Darao,D.F.G., Drst,F., Mishina,H. & Whitelaw, J.H. (eds) 1986First Intl. Symp. onLaser-Doppler Anemometry in Fluid Mech.III, 115-129.

Batchelor,G.K. 1986 Geoffrey Ingram Taylor, 7 March 1886-27 June 1975. J. Fluid Mech. 173, 1-14. Kida,S. &Murakami,Y. 1986 Kolmogorov’s spectrum in a feely decaying turbulence．J.Phys. Soc. Jpn, 55, 9

巽友正(編) 1986 乱流現象の解明と制御 東京大学出版．

Kim,J., Moin,P. &Moser,R. 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177, 133-166.

[スペクトル法によるチャンネル乱流の DNS]

木田重雄 1988 乱流の不思議なふるまい，丸善．

大橋秀雄 1988 レイノルズ数の名付け親．メカライフ13, 日本機械学会 48-49.

Yamamoto,K. &Hosokawa,I. 1988 A decaying isotropic turbulence pursued by spectral method. J. Phys. Soc.Jpn, 57, 1532- 1535.

Hosokawa,I. &Yamamoto,K. 1989 Fine structure of a directly simulated isotropic turbulence. J.Phys. Soc. Jpn58, 20-23.

桑原邦郎 1989 流れのフィジックス［CYLINDER］CG―コンピューター・グラフィックス―で見る流動現 象. TOTO 出版

Nishino,K. &Kasagi,N. 1989 Turbulence statistics measurement in a two-dimensional channel flo using three-dimensional particle tracing velocimeter. 7th Smp. Turbulent Shear Flows. 22, 1-6. [DNS と画像計測/精 度検証]

Abergel,F. & Teman,R.1990 On some control problems in fluid mechanics.Theor. Comput. Fluid Dyn., 1, 303-325.

日本流体力学会(編) 1990 流体力学の世界．朝倉書店．

［壁乱流の自己維持機構の解明］

Kline,S.J. &Afgan,N.H. (eds.) 1990 Near Wall Turbulence, Proceedings of the 1988 Zaric Memorial Conference, New York.

9

Myong,H.K. &Kasagi,N. 1990 A new approach to the implementation of k-ε turbulence model for wall bounded shear flows. JSME Intl. J. Ser.II33, 63-72.

Nagata,M. 1990 Three-dimensional finite-amplitude solutions in plane Couette flow : bifurcation from infinity. J. Fluid Mech. 217, 519-527.

[ECS=Exact Coherent Structure の発見]

Rott,N. 1990 Note on the history of the Reynolds number. Ann. Rev. Fluid Mech. 22, 1-11.

Shih,T.-H, Lumley,J.L. &Chen,J.-Y. 1990 Second-order modeling of a passive scalar in a turbulent shear flow.AIAA J. 28, 610-617.

[応力．フラックスの輸送モデル]

Germano,M., Pionelli,U., Moin,P. &Cabot,W.H. 1991 A dynamic subgrid‐scale eddy viscosity model.Phys. Fluids A 3, 1760-1765.

[Dynamic SGS model]

堀内潔 1991 追悼文，「一期一会」173-174,谷一郎先生を偲ぶ世話人会，昭英社．

Hunt,J.C. &Vassilicos,J.C. 1991 Kolmogorov’s contributions to the physical and geometrical understanding of small-scale turbulence and recent developments. Proc. Roy. Soc. Lond. A 434, 183-210.

Jiménez,J. &Moin,P. 1991 The minimal flow unit in near-wall turbulence, J. Fluid Mech., 225, 213-240. [乱流維持の最小領域の存在の発見]

Nagano,Y. &Tazawa,M. 1991 An improved k-ε model for boundary layer flows. ASME J. Fluid Eng. 112, 33-39. Robinson,S.K. 1991 Coherent motions in the turbulent boundary layer. Ann. Rev.Fluid Mech. 23, 601-639. 「壁乱流

の構造， Review」

佐藤浩 1991 「一期一会」，102 および(68)．谷一郎先生を偲ぶ世話人会，昭英社

Speziale,C.G., Sarkar,S. & Gatski,T.B.1991 Modelling the pressure-strain correlation of turbulence: an invariant dynamical system approach. J. Fluid Mech. 227, 245-272.

[応力．フラックスの輸送モデル]

Batchelor,G.K. 1992 Fifty years with fluid mechanics. Proc. Aust. Fluid Mech. Conf., 14-18, Dec. 1992, 531-538. Dahm,W.J.A., Su,L.K. &Southerland,K.B. 1992 A scalar imaging velocimetry technique for fully resolved

four‐dimensional vector velocity field measurements in turbulent flows. Phys. Fluids A 4, 2191-2206.

日野幹雄 1992 流体力学．朝倉書店．

Kasagi,N. &Ohtsubo,Y. 1992 Direct numerical simulation of low Prandtl number thermal field in a turbulent channel flow. Turbulent Shear Flow8, 97-119.

並木美喜雄 1992 量子力学入門．岩波新書

Durbin,P.A.,1993 A Reynolds stress model for near-wall turbulence. J. Fluid Mech. 249, 465-498. Sutera,S.P. ＆Skalak,R. 1993The history of Poiseuille’s law. Ann. Rev. Fluid Mech. 25, 1-19 van Dyke,M. 1994 Nineteenth-century roots of the boundary layer theory. SIAM Rev. 36, 415-424

Yaglom,A.M. 1994 A.N.Kolmogorov as a fluid mechanician and founder of a school in turbulence research. Ann. Rev. Fluid Mech. 26, 1-22.

Frisch,U. 1995 Turbulence-The Legacy of A.N.Kolmgorov., Cambridge Univ. Press.

Hamilton,J.M., Kim,J. &Waleffe,F. 1995 Regeneration mechanisms of near-wall turbulence structures. J. Fluid Mech. 287, 317-348.

[乱流維持機構の発見]

Lugt,H.J. 1995 Vortex Flows in Nature and Technology.

南部健一 1995 乱れる，オーム社．

10

今井 功 1996 ある流体物理屋の軌跡, Butsuri50 年をかえりみる，51, 787-794.

Spalart,P.T., Jou,W.H., Strects,M. &Allmaras,S.R. 1997 Cmments on the feasibility of LES for wings, and a hybrid RANS/LES approach. Proc. 1st AFOSR Int. Conf.

[DNS/LES]

Waleffe,F. 1997 On a self-sustaining process in shear flows. Phys. Fluids 9, 883-900.

大宮司久明、吉沢徴、三宅裕(編) 1998乱流の数値流体力学―モデルと計算法，東京大学出版

Moin,P. &Mahesh,K. 1998 Direct numerical simulation: A tool in turbulent research. Ann. Rev. Fluid Mech. 30, 539-578.

Jimenez,J., &Pinelli,A 1999 The autonomous cycle of near-wall turbulence, J. FluidMech., 389, 335-359. [乱流維持機構]

木田重雄．柳瀬真一郎 1999 乱流力学 朝倉書店．

梶島岳夫 1999乱流の数値シミュレーション，養賢堂．

Adrian,R.J., Meinhart,C.D. & Tomkins,C.D.2000 Vortex organization in the outer region of the turbulent boundary layer, J. Fluid Mech. 422, 1-54.

［乱流の制御］

Gad-el-Hak,M. 2000 Flow Control: Passive, Active and Reactive Flow Management. Cambridge Univ. Press.

笠木伸英 2000 乱流のスマート・コントロールに向けて.日本航空学会誌48, 155-161.

Mizota,T., Zdravkovich,M.M. , Graw,K.-U. &Leder,A. 2000 St. Christopher and the vortex. A Karman vortex in the wake of St.Christopher’s heels. Nature 404, 226.

Pope,S.B. 2000 Turbulent Flows. Cambridge Univ. Press.

Kawahara,G. &Kida,S. 2001 Periodic motion embedded in plane Couette turbulence: regeneration cycle and burst. J. Fluid Mech. 449, 291-300.

[乱流維持機構]

Tsinber,A. 2001 An Informal Introduction to Turbulence Kluwer Academic Pub.

吉沢徴 2001 流体力学．東京大学．

Waleffe,F. 2001Exact coherent structures in channel flow. J. Fluid Mech. 435, 93-102.

Bernard,P.S. &Wallace,J.M. 2002 Turbulent Flow-Analysis, Measurement, and Prediction. John Wiley & Sons. Moffatt,H.K. 2002 G.K.Batchelor and homogenization of turbulence, Ann. Rev. Fluid Mech. 34, 19-35.

Nguyen,N.-T., Huang,X. &Chuan,T.K. 2002MEMS-Micropumps: A Review. J. Fluids Eng, ASME 124(2), 384-392

中山泰喜 2002 縄文人が可視化した双子渦とカルマン渦.可視化情報学会誌22,(Supplement), 161-164.

金田行雄，石原卓 2003 ，大規模 DNS による乱流物理現象の解明．日本流体学会数値流体部門 web会誌，

11．

Kaneda,Y., Ishihara,T., Yokokawa,M., Itakura,K. &Uno,A. 2003 Energy dissipation rate and energy spectrum in high resolution direct numerical simulation turbulence in a periodic box. Phys. Fluids15, L21

Davidson,P.A. 2004 TURBULENCE-An Introduction for Scientists and Engineers. Oxford Univ. Press.

Jimenez,J. 2004 The contribution of A.N.Kolmogorov to the theory of turbulence. Arbor CLXXVIII, 704, 589-606.

中村亨 2004 数学21世紀の7大難問．ブルー．バックス 講談社．

中山泰喜 2005 流体力学が証す火焔土器--双子渦とカルマン渦の発見者は縄文人である.可視化情報学会全 国講演会(新潟 2005)講演論文集-(サイエンティフィックアート 1)

桑原邦郎．河村哲也 2005 流体計算と差分法．朝倉書店．

Lesieur,M., Métais,O. &Comte,P. 2005 Large-Eddy Simulations of Turbulence. Cambridge Univ. Press. (柳瀬真一郎， 百武徹．河原源太．渡辺毅(訳) 2010 乱流のシミュレーション，森北出版)

11 Fluid Mech. 554, 521-542.

Foken,,T. 2006 50 Years of the Monin–Obukhov similarity theory, Boundary-Layer Meteorology 119, 431-447.

Kaneda,Y. &Ishihara,T. 2006 High-resolution direct simulation of turbulence. J. of Turbulence, 7, 1-17. Adrian,R.J. 2007 Hairpin vortex organization in wall turbulence. Phys. Fluids19, 041301-1-16.

Hutchins,N. &Marusic,I. 2007 Evidence of very long meandering features in the logarithmic region of turbulent boundary layers. J. Fluid Mech. 579, 1-28.

笠木伸英 2008 乱流：この困難な課題．第57回理論応用力学講演会，11-14.

Lesieur,M. 2008 Turbulence in Fluids. Springer.

横井喜充．下村裕．半場藤弘．岡本正芳(編) 2008 乱れと流れ 培風社．

Kareem,W.A., Izawa, S., Xiong,A.-K. &Fukunishi,Y. 2009 Lattice Boltzmann simulations of homogeneous isotropic turbulence, Computers & Mathematics with Applications 58, Issue 5, 1055-1061.

笠木伸英(総編集) 2009 乱流工学ハンドブック，朝倉書店．

笠木伸英 2009 乱流工学序論，乱流工学ハンドブック，笠木伸英．河村洋．長野靖尚．宮内

敏雄(編), 朝倉書店．

Tsinber,A. 2009 An Informal Conceptual Introduction to Turbulence Springer.

Wu, X. &Moin,P. 2009 Direct numerical simulation of turbulence in a nominally zero-pressure- gradientflat-plate boundary layer, J. Fluid Mech. 630, 5-41.

Chikatamarla,S.S., Frouzakis,C.E., Karlin,I.V., Tomboulides,A.G. &Boulouchos,K.B. 2010 Lattice Boltzmann method for direct numerical simulation of turbulent flows. J. Fluid Mech. 656, 298-308

Moffatt，H.K. 2010 George Batchelor: a personal tribute, ten years on. J. Fluid Mech., vol. 663, pp. 2–7.

安田孝宏．里深信行 2010 エントロピック格子ボルツマンモデルを用いた正方角柱周りの 2 次元チャネル 流れの解析 : 計算結果の妥当性評価手法の一検討(OS1-4 噴流,後流および剥離流れ現象の解明と制御,

オーガナイズドセッション)日本機械学会流体工学部門講演会講演論文集, 47-48

Davidson,P.A., Kaneda,Y., Moffat,K. &Sreenivasan,K.R, 2011 A Voyage through Turbulence. Cambridge University Press.

Wallace,J. 2011 Highlights of Fifty Years of Turbulent Boundary Layer Research, Turbulence Colloquim Marseille 2011.(< Internet)

日野幹雄 2012 植生層乱流の大規模組織構造,水工学論文集B1 ,第 56 巻.

Davidson,P.A, 2013 Turbulence in Rotating, Stratified and Electrically Conducting Fluids. Cambridge University Press.

Davidson,P.A., Kaneda,Y., &Sreenivasan,K.R, 2013 Ten Chapters in Turbulence. Cambridge Univ. Press.

巽 友正 2013 乱流の世紀，第 1 章 乱流の発生，ながれ32, 日本流体力学会，327-334.

Tardu,S. 2014 Transport and Coherent Structures in Wall Turbulence (Fluid Mechanics), Wiley

Launder,B.E. 2015 First steps in modelling turbulence and its origins: a commentary on Reynolds (1895) ‘On the dynamical theory of incompressible viscous fluids and the determination of the criterion’. Phil. Trans. Roy. Soc. A , Math Phys Eng Sci．373

Schlichting,H. &Gersten,K. 2017 Boundary-Layer Theory－9th Edition, Springer. Waleffe, F. Coherent Shear Flows, chomp.rutgers.edu / workshop2 / waleffe.pdf

Bistafa, Sylvio R. 2018 On the development of the Navier-Stokes equation by Navier. Rev.Bras. Ensino Fís. 40, no.2.

12

Abergel,F. & Teman,R.1990On some control problems in fluid mechanics.Theor. Comput. Fluid Dyn., 1, 303-325. Adrian,R.J., Darao,D.F.G., Drst,F., Mishina,H. & Whitelaw, J.H. (eds) 1986First Intl. Symp. onLaser-Doppler

Anemometry in Fluid Mech.III, 115-129.

Adrian,R.J., Meinhart,C.D. & Tomkins,C.D.2000 Vortex organization in the outer region of the turbulent boundary layer, J. Fluid Mech. 422, 1-54.

Adrian,R.J. 2007 Hairpin vortex organization in wall turbulence. Phys. Fluids19, 041301-1-16.

Allen,J., Barwell,F.T., Eckert,E.R.G., Williams,J.E.F., Hunt,J.N., Ippen,A.T., Lighthill,M.J., Silver,R.S., de Vries,M. &Walker,V. 1968 Osborne Reynolds and Engineering Science Today. Osborne Reynolds Centenary Symposium, Manchester Univ. Press.

Batchelor,G.K 1947 Kolmogoroff’s theory of locally isotropic turbulence. Proc. Cambridge Phil. Soc. 43, 533. Batchelor,G.K. 1949 The role of big eddies in homogeneous turbulence, Proc. Roy. Soc. A, 195, 513

Batchelor,G.K. 1953 The Homogeneous Turbulence, Cambridge University Press. Batchelor,G.K. 1967 An Introduction to Fluid Dynamics, Cambridge Univ. Press.

Batchelor,G.K. 1976 Geoffrey Ingram Taylor 1886-1975.Biogr. Mem. Roy. Soc. 22, 565-633. Batchelor,G.K. 1981 Preoccupations of a journal editor. J. Fluid Mech. 106, 1-25.

Batchelor,G.K. 1986 Geoffrey Ingram Taylor, 7 March 1886-27 June 1975. J. Fluid Mech. 173, 1-14.

Batchelor,G.K. 1992 Fifty years with fluid mechanics. Proc. Aust. Fluid Mech. Conf., 14-18, Dec. 1992, 531-538. Bénard,H. 1908 Formation périodique de centres de giration à l'arrière d'un obstacle en movement. ComptesRendus

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Bernard,P.S. &Wallace,J.M. 2002 Turbulent Flow-Analysis, Measurement, and Prediction. John Wiley & Sons. Bistafa, Sylvio R. 2018 On the development of the Navier-Stokes equation by Navier. Rev.Bras. Ensino Fís. 40, no.2. Blackwelder,R.F. &Kaplan,R.E 1976On the wall structureofthe turbulent boundary layer.J. Fluid Mech.76, 89-120. Boussinesq,J.V. 1877 Essai sur la théorie des eauxcourrantes. Mem. Acad. Sci. Paris 23, 1-680.

Bradshaw,P. 1972 The understanding and prediction of turbulent flow. Aeronautical J.76, 403-417. Bradshaw,P. 1974 Possible origin of Prandtl’s mixing-length theory. Nature249, 135-136.

Brown,G.L. &Roshko,A. 1974 On density effects and large structure in mixing layer. J. Fluid Mech. 64, 775-816. Chikatamarla,S.S., Frouzakis,C.E., Karlin,I.V., Tomboulides,A.G. &Boulouchos,K.B. 2010 Lattice Boltzmann

method for direct numerical simulation of turbulent flows. J. Fluid Mech. 656, 298-308 Chandrasekhar,S. 1961 Hydrodynamic and Hydromagnetic Stability, Cambridge Univ. Pres.

Colloques Internationaux du Centre Nationale de la Recherche Scientifique 1962 Mecanique de la Turbulence, Editions du CNRS Paris (1962)

Comte-Bellot,G. 1976 Hot-Wire Anemometry. Annual Review of Fluid Mechanics 8, 209-231 Corino,E.R. &Brodkey,R.S. 1969A visual investigation of the wall region in turbulent flow J. Fluid Mech. 37, 1-30

Corrsin,S. 1943 Investigation of flow in an axially symmetric heated jet of air. NASA Report No. W-94, ACR. 3L23. Corrsin,S. &Kister,A.L. 1954 The free-stream boundaries of turbulent flows. NACA TN-3133.

Corrsin,S. &Kistler,A.L. 1955 Free-stream boundaries of turbulent flows. NACA Rep. no. 1244 (Supersedes NACA TN 3133)

Corrsin,S. 1957 Some current problems in turbulent shear flows. Symp. Naval Hydrodyn., Publ. 515, NAS-NRC 373. Corrsin,S.1956 Some current problems in turbulent shear flows. Symposium on Naval Hydrodynamics, National

Academy of Science －National Reaeach Council, Washington, 377-407.

Dahm,W.J.A., Su,L.K. &Southerland,K.B. 1992 A scalar imaging velocimetry technique for fully resolved four‐dimensional vector velocity field measurements in turbulent flows. Phys. Fluids A 4, 2191-2206.

13

大宮司久明、吉沢徴、三宅裕(編) 1998乱流の数値流体力学―モデルと計算法，東京大学出版

Darcy,H. 1857 Recherchesexpérimentales relatives au movement de l’eaudans les tuyaux, Mallet-Bachelier, Paris. Davidson,P.A. 2004 TURBULENCE-An Introduction for Scientists and Engineers. Oxford Univ. Press.

Davidson,P.A., Kaneda,Y., Moffat,K. &Sreenivasan,K.R, 2011 A Voyage through Turbulence. Cambridge University Press.

Davidson,P.A., Kaneda,Y., &Sreenivasan,K.R, 2013 Ten Chapters in Turbulence. Cambridge Univ. Press.

Davidson,P.A, 2013 Turbulence in Rotating, Stratified and Electrically Conducting Fluids. Cambridge University Press.

Durbin,P.A.,1993 A Reynolds stress model for near-wall turbulence. J. Fluid Mech. 249, 465-498.

Deardorff,J.W. 1970 A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers. J. Fluid Mech. 41, 453-480.

. [LES によるチャンネル乱流の(初の)数値シミュレーション]

Einstein,H.A. &Li,H. 1956 The viscous sublayer along a smooth boundary. Proc. ASCE. 82, (EM2),945. [粘性底層の成長と崩壊による乱流維持機構 1 次元モデル]

Foken,,T. 2006 50 Years of the Monin–Obukhov similarity theory, Boundary-Layer Meteorology 119, 431-447.

Frisch,U. 1995 Turbulence-The Legacy of A.N.Kolmgorov., Cambridge Univ. Press.

Gad-el-Hak,M. 2000 Flow Control: Passive, Active and Reactive Flow Management. Cambridge Univ. Press. Germano,M., Pionelli,U., Moin,P. &Cabot,W.H. 1991 A dynamic subgrid‐scale eddy viscosity model.Phys. Fluids A

3, 1760-1765. [Dynamic SGS model]

Goldstein,S. 1938 Modern Developments in Fluid Dynamics, vols.I& II

Goldstein,S. 1969 Fluid mechanics in the first half of this century. Ann. Rev. Fluid Mech. 1, 1-28.

Guala,M., Hommema,S.E. &Adrian,R.J. 2006 Large-scale and very-large-scale motions in turbulent pipe flow. J. Fluid Mech. 554, 521-542.

Gupta,A.K., Laufer,J.&Kaplan,R.E. 1971 Spatial structure in the viscous sublayer. J. Fluid Mech. 50, 493-512. Hagen,G. 1839 Über die Bewegung des Wassers in engencylindrischenRöhren. (On the motion of water in narrow

cylindrical tubes). Poggendorf ’s. Annalen der Physik und Chemie, 46, p.423-442.

[Prandtl &Tietjens, p.15: この論文は主に層流状態についての抵抗則を取り扱っているが，それにはある 限界が存在することが指摘されている]

Hagen,G. 1845 Über die OberflächeFlüssiskeiten. Annalen der Physik und Chemie, LXVII

Hagen,G. 1854 Über den Einfluss der Tempatatur auf die Bewegung des Wassers in Röhren (On the influence of temperature on the movement of water through pipes), Math. Abh. Akad. Wiss. Berlin, 17-98.

[Prandtl &Tietjens, p.29:ここでは，層流から乱流への遷移が速度のみならず粘性にも依存すると述べら れている]

Hagen,G. 1869Bewegung des Wassers in cylindrischen, nahehorizontalenLeitungen. Abhandlungen der KöniglichenAkadmie der Wissenschaftenzu Berlin, MathematischeKlasse, 1-29.

Hama,R.F. 1956 Symp. on Naval Hydrodynamics (see, cited in Corrsin1956) [壁面上のストリークの発見]

Hama,F.R., Long,J.D. &Hegarty,J.C, 1957 On transition from laminar to turbulent flow J. Appl. Phys. 28, 388. Hamilton,J.M., Kim,J. &Waleffe,F. 1995 Regeneration mechanisms of near-wall turbulence structures. J. Fluid Mech.

287, 317-348.

14

Hanratty,T.J. 1956 Turbulence exchange of mass and momentum with a boundary. AIChE J., 2 (3), 359. [粘性底層の成長と崩壊による乱流維持機構 1 次元モデル]

Heisenberg,W. 1924 ÜberStabilität und Turbulenz von Flüssigkeitströmen. Ann. Phys.Lpz. (4), 74, 577. [境界層の安定問題]

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日野幹雄 1963 最近における乱流理論の工学への応用．日本機械学会誌 第 88 巻, 第 539 号，1627-1635. 日野幹雄 1974 流体力学(理工学講座版)．朝倉書店． 日野幹雄 1977 スペクトル解析 朝倉書店． 日野幹雄 1992 流体力学．朝倉書店． 日野幹雄 1966 河川の乱流現象．土木学会，水工学シリーズA-66-07, 07-1~38. 日野幹雄 2012 植生層乱流の大規模組織構造,水工学論文集B1 ,第 56 巻.

Hinze,J.O. 1959 Turbulence, An Introduction to its Mechanism and Theory, McGraw-Hill. Hinze,J.O.1975 Turbulence (Second edition), McGraw-Hill.

Ho,C.-M. &Tai,Y,-C. 1996 Review: MEMS and Its Application for Flow Control, ASME, J. Fluid Eng. 118, 437-447 堀内潔 1991 追悼文，「一期一会」173-174,谷一郎先生を偲ぶ世話人会，昭英社．

Hosokawa,I. &Yamamoto,K. 1989 Fine structure of a directly simulated isotropic turbulence. J. Phys. Soc. Jpn58, 20-23.

Hunt,J.C. &Vassilicos,J.C. 1991 Kolmogorov’s contributions to the physical and geometrical understanding of small-scale turbulence and recent developments. Proc. Roy. Soc. Lond. A 434, 183-210

Hussain, A.K.M.F. 1983 Coherent structures and incoherent turbulence. Turbulence and Chaotic Phenomena in Fluids, (ed. T. Tatsumi), 453-460, North-Holland. 1983.

Hutchins,N. &Marusic,I. 2007 Evidence of very long meandering features in the logarithmic region of turbulent boundary layers. J. Fluid Mech. 579, 1-28.

今井 功 1973 流体力学(前編), 裳華房

今井 功 1996 ある流体物理屋の軌跡, Butsuri50 年をかえりみる，51, 787-794.

井上栄一 1969 乱子とともに．気象研究ノート100号記念号， 344-345.

Inoue,E. (井上栄一) 1955 穂波の研究 1．穂波の機構と特性．農業気象，11(1),18-22.

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Jimenez,J., &Pinelli,A 1999 The autonomous cycle of near-wall turbulence, J. FluidMech., 389, 335-359.

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梶島岳夫 1999乱流の数値シミュレーション，養賢堂．

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金田行雄，石原卓 2003 大規模 DNS による乱流物理現象の解明．日本流体学会数値流体部門 web会誌，

11．

Kaneda,Y., Ishihara,T., Yokokawa,M., Itakura,K. &Uno,A. 2003 Energy dissipation rate and energy spectrum in high resolution direct numerical simulation turbulence in a periodic box. Phys. Fluids15, L21

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Kaneda,Y. &Ishihara,T. 2006 High-resolution direct simulation of turbulence. J. of Turbulence, 7, 1-17.

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[カルマン渦列の理論]

Kármán, von Th. 1930 MechanischeÄhnlichkeit and Turbulenz. Nachr. Ges. Wiss. Göttongen, Math. Phys. Klasse, (Nachrichten von der Gesellschaft der Wissenschaftenzu Göttingen, Fachgruppe 1 (Mathematik)) 58-76 and Proc. III Int. Congr. Appl. Mech., Stockholm, 1 ,85-93.

Also as: “Mechanical Similitude and Turbulence”, NACA Tech. Memo. No. 611 (1931) [similalityhypothess< Schlichting p.585], [law of wall<Wikipedia], [速度欠損則]

vonKármán,Th. 1937a On the statistical theory of turbulence. Proc. Nat. Acad. Sci., Wash., 23, 98. von Kármán,Th. 1937b The fundamentals of the statistical theory of turbulence. J. Aero. Sci.4, 131. von Kármán,Th. 1938 Some remarks on the statistical turbulence. Proc. 5th Int. Congr. Appl. Mech. p.347.

Kármán, von Th. &Howarth,L. 1938 On the statistical theory of isotropic turbulence, Proc. Roy. Soc. Lond. A 164, 192-215.

Karman,T. von 1954 Aerodynamics, Selected topics in the light of their historical development. Cornell University Press.

フォン．カルマン谷一郎(訳)1956飛行の理論，p.78, (原題 AERODYNAMICS: Selected Topics in the Light of Their Historical Development 1954), 岩波書店．

Kármán, von Th. (with Lee Edson) 1967 The Wind and Beyond. Little, Brown and Company, Boston.

Kasagi,N. &Ohtsubo,Y. 1992 Direct numerical simulation of low Prandtl number thermal field in a turbulent channel flow. Turbulent Shear Flow8, 97-119.

笠木伸英 2000 乱流のスマート・コントロールに向けて.日本航空学会誌48, 155-161.

笠木伸英 2008 乱流：この困難な課題．第57回理論応用力学講演会，11-14.

笠木伸英(総編集) 2009 乱流工学ハンドブック，朝倉書店．

笠木伸英 2009 乱流工学序論，乱流工学ハンドブック，笠木伸英．河村洋．長野靖尚．宮内敏雄(編), 朝倉 書店．

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Kida,S. &Murakami,Y. 1986 Kolmogorov’s spectrum in a feely decaying turbulence．J .Phys. Soc. Jpn, 55, 9

木田重雄 1988 乱流の不思議なふるまい，丸善．

木田重雄．柳瀬真一郎 1999 乱流力学 朝倉書店．

Kim,J., Moin,P. &Moser,R. 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177, 133-166.

[スペクトル法によるチャンネル乱流の DNS]

King,L.V. 1914 On the convection of heat from small cylinders in a stream of fluid: determination of the convection constants of small platinum wires with applications to hot-wire anemometry. Philosophical Transactions of the Royal Society of London. Series A 214 , 373-432.

16 [熱線流速計]

King,L.V. 1914 On the convection of heat from small cylinders in a stream of fluid: determination of the convection constants of small platinum wires, with applications to hot-wire anemometry, Proc. R. Soc. London90, 563-570. [熱線流速計]

Klebanoff,P.S. 1954 Characteristics of turbulence in a boundary layer with zero pressure gradient ． NACA Tech. Note No.3178.

Kline,S.J. &Rundstadler,P.W. 1959 Some preliminary results of visual studies of the flow model of the wall layers of the turbulent boundary layer. Trans. ASME, J.Appl. Mech. 26, ser.E,(2), 166-177.

[壁乱流の構造に関する予備的論文. 後に乱流研究の方向に大変革をもたらす Kline et al. 1967 JFM に 先立つ論文]

Kline,S.J., Reynolds,W.C., Schraub,F.A. &Rundstadler,P.W. 1967 The structure of the turbulent boundary layer. J. Fluid Mech. 30, 741-773.

Kline,S.J., Morkovin,M.V., Sovran,G. &Cockrell,D.J. 1968 Proc. Comp. of Turbulent Boundary Layers. FOSR-IFP-Stanford Conference.

[境界層発達計算の国際コンピテション－Kline Olympic]

Kline,S.J., Cantwell,B.J. &Lilley,G.M. 1980-1981 AFOSR-HTTM-Stanford Conf. on Complex Turbulent flows. Comparison and Experiment.

Kline,S.J. &Afgan,N.H. (eds.) 1990 Near Wall Turbulence, Proceedings of the 1988 Zaric Memorial Conference, New York.

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Reprinted in Proc. R. Soc. London A 434, 9-13 (1991) [局所等方性理論，スペクトル-5/3 乗則]

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桑原真二 1972 流れの文様．Nagare (現．流体力学会誌ながれの前身)，6 (2),

桑原真二 1975 渦．流水文様－古代におけるながれの観念から乱流を論ずる．数理科学no.140,60-63.

桑原邦郎 1989 流れのフィジックス［CYLINDER］CG―コンピューター・グラフィックス―で見る流動現 象. TOTO 出版

桑原邦郎．河村哲也 2005 流体計算と差分法．朝倉書店．

Kovasznay,L.S.G., Kibens,V. &Blackwelder,R.F. 1970 Large-scale motion in the intermittent region of a turbulent boundary layer. J. Fluid Mech. 41, 283-326.

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Laufer,J. 1950 Investigation of turbulent flow in a two-dimensional channel, NACA Tech. Note No.2123.

Laufer,J. 1951 Investigation of turbulent flow in a two-dimensional channel. NACA Report 1053, (Supersedes Tech. Note No.2123)

Laufer,J. 1953 The structure of turbulence in fully developed pipe flow,NACA Tech. Note No.2954 Laufer,J. 1954 The structure of turbulence in fully developed pipe flow. NACA Report No.1174

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17

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Launder,B.E. 2015 First steps in modelling turbulence and its origins: a commentary on Reynolds (1895) ‘On the dynamical theory of incompressible viscous fluids and the determination of the criterion’. Phil. Trans. Roy. Soc. A , Math Phys Eng Sci．373

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Lesieur,M. 2008 Turbulence in Fluids. Springer.

Lilly,D.K. 1967 Proc. IBM Sci. Comp. Symp. Envir. Sci., IBM Form 320-1951, 195-210. Lin,C.C. 1956 The Theory of Hydrodynamic Stability, Cambridge Univ. Press.

Lu,S.S. &Willmarth,W.W. 1973 Measurements of the structure of the Reynolds stress in a turbulent boundary layer. J. Fluid Mech. 60, 481-451.

[4 象限分類法]

Lugt,H.J. 1995 Vortex Flows in Nature and Technology.

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[混合長仮説批判]

Mizota, T., Zdravkovich,M.M. , Graw,K.-U. &Leder,A. 2000 St. Christopher and the vortex. A Karman vortex in the wake of St.Christopher’s heels. Nature 404, 226.

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Moin,P. &Mahesh,K. 1998 Direct numerical simulation: A tool in turbulent research. Ann. Rev. Fluid Mech. 30, 539-578.

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[大気接地気層相似理論]

Moin,A.S.&Yaglom,A.M. 1965 Statistical Fluid Mechanics (Translated from Russian). Vols. I & II, MIT Press ( also Dover Books on Physics 2007)

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Nagano,Y. &Tazawa,M. 1991 An improved k-ε model for boundary layer flows. ASME J. Fluid Eng. 112, 33-39. Nagata,M. 1990 Three-dimensional finite-amplitude solutions in plane Couette flow : bifurcation from infinity. J.

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中村亨 2004 数学21世紀の7大難問．ブルー．バックス 講談社． 中山泰喜 2002 縄文人が可視化した双子渦とカルマン渦.可視化情報学会誌22,(Supplement), 161-164. 中山泰喜 流体力学から見た「火焔土器」--双子渦とカルマン渦の発見者は縄文人である.日本情報考古学 会 中山泰喜 2005 流体力学が証す火焔土器--双子渦とカルマン渦の発見者は縄文人である.可視化情報学会全 国講演会(新潟2005)講演論文集-(サイエンティフィックアート 1) 並木美喜雄 1992 量子力学入門．岩波新書

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南部健一 1995 乱れる，オーム社．

Navier, C. L. 1821 Annales de Chimie et de Physique, XXI, 244

Navier, C. L. 1827 Mémoires de L’Académie Royale des Sciences de L’Institute de France VI, 389

Navier, C. L. M. H. 1823. Memoire sur les lois du mouvement des fluides. Mem.Acad. R. Sci.6, 389-441. (論文の発 表年は，Sutera,S.P. &Skalak,R.(1993)では1823, Lamb,H.(1932, p.577)では1822)

Nguyen,N.-T., Huang,X. &Chuan,T.K. 2002 MEMS-Micropumps: A Review. J. Fluids Eng, ASME 124(2), 384-392

日本流体力学会(編) 1990 流体力学の世界．朝倉書店．

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小倉義光 1955 大気乱流理論，地人書館．

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[ hairpin model to explain ejection & sweep]

大橋秀雄 1988 レイノルズ数の名付け親．メカライフ13, 日本機械学会 48-49.

大橋秀雄 2018 ながれ No.5

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[線型安定理論の基礎方程式]

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Poiseuille,Jean Louis 1840 Recherchesexpérimentales sur le mouvement des liqnides dans les tubes de très petits diametres. III Influence du diamètre sur la quantitéde liquid qui traverse les tubes de très petits

diametres.Compte-rendus (hebdomadaires) des Seances de l’Academie des Sciences .11, 1041-1048. Poiseuille,Jean Louis 1847 Recherchesexpérimentales sur le mouvement des liquides de nature différente dans les

tubes de très petits diamètres. CR de l'Académie des Sciences. (Ann. Cem.Phys. 3rd series, XXI, 76-110 (plus Plate II)－この出典Ann. Cem.Phys.はSutera, S.P. &Skalak, R. (1993)による)

(Poiseuille の論文は 1840 以降でも多数あり，SuteraS.P. &Skalak,R. (1993))には以下の文献が挙げられている) Poiseuille, J. L. M. 1840a. Recherchesexperimentales sur le mouvement des liquides dans les tubes de tres petits

diametres;

Influence de la pression sur la quantite de Iiquide qui traverse les tubes detrès petits diametres. C. R. Acad. Sci. l l: 961-67

Poiseuille, J. L. M. I 840b. Recherchesexperimentales sur Iemouvement des liquides dans les tubes de tres petits diametres;

19

III. Influence du diametre sur la quantite de liquide qui traverse les tubes de tres petits diametres. C. R. A cad. Sci. II: 1041-48

Poiseuille, J. L. M. 1841. Recherchesexperimentales sur le mouvement des liquides dans les tubes de tres petits diametres;

IV. Influence de la temperature sur la quantite de liquide qui traverse les tubes de tres petits diametres. C. R. Acad. Sci. 12: 112- 15

Poiseuille, J. L. M. 1843. Ecoulement des liquides de nature differente dans les tubes de verre de tres-petits diametres. C. R. Acad. Sci. 16: 61-63. (Section I of "Recherches sur l'ecoulement des Iiquides, considere dans les capillairesvivants". C. R. Acad. Sci. 16: 60-72)

Pope,S.B. 2000 Turbulent Flows. Cambridge Univ. Press.

Prandtl,L. 1904 ÜberFlüssigkeitsbewegungbeisehrkleinerReibung (Motion of fluids with very little viscosity), in Verhandlungen des III Internationalen Mathematiker-Kongresses, Heidelberg, 1904, (Proc. 3rd Int. Math. Cong., Heidelberg) (B G Teubner, Leipzig), 484-491.

(N.A.C.A. Rep. TM 452, March 1928.) [境界層理論]

(VierAbhandlungenzurHydrodynamik und Aerodynamic, by L Prandtl and A Betz, Kaiser Wilhelm Inst. f. Strömungsforschung (Göttingen, 1927), 1-8)

Prandtl,L.1925 Über die ausgebildeteTurbulenz. ZAMM 5, 136-139. [混合距離仮説]

Prandtl,L. 1926 Über die ausgebildeteTurbulenz, Proc. II Int. Congr. for Applied Mechanics, Zülich, September 1926 (1926), 62-74:

(On developed turbulence) NACA TM 435 (October 1927). Ministry of Supply TIB/T4299 (February 1955). [混合距離仮説]

Prandtl,L. 1932 Ergebn.Aerodyn.VersAnst. Gottingen, 4, 18-29. [壁法則]

Prandtl,L. 1932 (with Albert Betz) Ergebnisse der AerodynamischenVersuchsanstaltzu Göttingen. IV. Lieferung (R Oldenbourg, München and Berlin, 1932)

Prandtl,L. &Tietjens,O.G 1934 (translation 1957) Applied Hydro- and Aeromechanics. Dover Publ. Priestley,C.H.B. 1959 Turbulent Transfer in the Lower Atmosphere, The University of Chicago Press.

Rayleigh,Lord 1880 On the stability, or instability, of certain fluid motions. Proc. London Math. Soc. XI, 57-72. [変曲点不安定]

Reynolds,O. 1883 An experimental investigation of the circumstances which determine whether the motion of water shall be direct or sinuous and the law of resistance in parallel channels. Phil.Trans. Roy. Soc., 174, 935-982. [臨界レイノルズ数]

Reynolds,O. 1895 On the dynamical theory of incompressible viscous fluids and the determination of the criterion. Phil. Trans. R. Soc. London A, 186, 123-164.

[レイノルズ方程式]

[Google, Launder 20-15; Schlichting &Gersten 2017]

Richardson,L.F. 1922 Weather Prediction by Numerical Process. Cambridge Univ. Press. [p.66, line 16 渦の詩，Richardson Process]

Richardson,L.F. 1926 Atmospheric diffusion shown on a distance-neighbour graph. Proc. Roy. Soc. A, 110. 709. [relative diffusion, neighbour separation,2 粒子拡散, 4/3 乗則]

20

Rogallo,R.S. &Moin,P. 1984Numerical simulation of turbulent flows. Ann. Rev. Fluid Mech., 16, 99-137. Rott,N. 1990 Note on the history of the Reynolds number. Ann. Rev. Fluid Mech. 22, 1-11.

Rotta,J. 1951 Zeitsch. Fur Physik, 129, 547-572; 131, 51-77. [2 方程式モデル]

Rouse,H. ＆Ince,S. 1957 History of Hydraulics. Dover Publ.

佐藤浩 1982 乱流，共立出版．

佐藤浩 1991 「一期一会」，102 および(68)．谷一郎先生を偲ぶ世話人会，昭英社

Schubauer,G.B. &Skramstad,H.K. 1943 Laminar boundary-layer oscillations and transition on a flat plate. NACA Tech. Rep. No.909 (1948)

[T-S 波の実験的発見]

Schbauer,G.B. &Skramstad,H.K. 1947 Laminar boundary layer oscillations and stability of laminar flow, J. Aero. Sci. 14, 69-.78.( 1948 NACA Tech. Rep. No.909)

Schlichting,H. 1933 ZurEntstehung der Turbulenzbei der Plattenströmung. Nachr. Ges. Wiss. Gettingen, Math.-Phys. Kl 1,182- (47-78).

[Blasius 速度分布の撹乱増幅曲線]

Schlichting,H. 1955 Boundary Layer Theory, McGraw-Hill.

Schlichting,H. 1979 Boundary Layer Theory－7th Edition, McGraw-Hill. Schlichting,H. &Gersten,K. 2017 Boundary-Layer Theory－9th Edition, Springer.

Shih,T.-H, Lumley,J.L. &Chen,J.-Y. 1990 Second-order modeling of a passive scalar in a turbulent shear flow. AIAA J. 28, 610-617.

[応力．フラックスの輸送モデル]

Smagorinsky,J. 1963 General circulation experiments with the primitive equations. Month. Weather Rev. 91, 99-164. [LES]

Sommerfeld,A. 1908 Ein BeitragzurhydrodynamischenErklärung der turbulentenFlüssigkeitsbewegungen. Atti del IV CongressoInternationaledeiMatematici, Roma 1908, ( Roma 1909), III, 116-124.

[線型安定理論の基礎方程式]

Spalart,P.T., Jou,W.H., Strects,M. &Allmaras,S.R. 1997 Cmments on the feasibility of LES for wings, and a hybrid RANS/LES approach. Proc. 1st AFOSR Int. Conf.

[DNS/LES]

Spalding, D.B. 1967 Heat and Mass Transfer. Sec. Rep. WF/TN/ 31, Imperial College. [k-ε 法]

Speziale,C.G., Sarkar,S. & Gatski,T.B.1991 Modelling the pressure-strain correlation of turbulence: an invariant dynamical system approach. J. Fluid Mech. 227, 245-272.

[応力．フラックスの輸送モデル]

Sutera,S.P. ＆Skalak,R. 1993 The history of Poiseuille’s law. Ann. Rev. Fluid Mech. 25, 1-19

巽 友正 1962 乱流，槇書店． 巽 友正 1982 流体力学 培風社 巽友正(編) 1986 乱流現象の解明と制御 東京大学出版． 巽 友正 2013 乱流の世紀，第 1 章 乱流の発生，ながれ32, 日本流体力学会，327-334. 谷 一郎 1943 境界層の遷移を後らせる翼型について．東大航研報告 250．[英訳：NACA TM 1351] [層流翼の設計] 谷 一郎 1950 乱流理論，金原出版． 谷 一郎 1967 流れ学 (岩波全書) 岩波書店．