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Ae239: Turbulence: Recommended Readings

A short guide to resources for students taking Ae239a at Caltech.

Library Course Reserves

Course reserves can be found at the Sherman Fairchild Library. Search using our catalog to find the titles. Links will show if the item is located in Closed or Open Reserves, and if it is checked out.

Notes on the Reserves Book List:

The Handbook of Mathematical Functions is now available in an electronic format as the NIST Digital Library of Mathematical Functions.

The Feynman Lectures are also available as an e-version here.

Journal Articles, Book Chapters, Reports and Theses

Cebeci, T., 1977 Calculation of unsteady two-dimensional laminar and turbulent boundary layers with fluctuations in external velocity. Proc. Roy. Soc. London, Ser. A, 355:225-238

Chung, D., and G. Matheou 2012 Direct numerical simulation of stationary homogeneous stratified sheared turbulence. J. Fluid Mech. 696:434-467.

Clauser, F., 1954 Turbulent boundary layers in adverse pressure gradients. J. Aero. Sciences 21:91-108.
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Clauser, F., 1956 The Turbulent Boundary Layer. Adv. Appl. Mech. 4:1-51.
Print available on reserve at Sherman Fairchild Library

Cochran, W.G., 1934 Flow due to a rotating disc. Proc. Camb. Phil. Soc. 30:365-375.
Print available on reserve at Sherman Fairchild Library

Colebrook, C.F., 1939 Turbulent flow in pipes with particular reference to the transition region between the smooth- and rough-pipe laws. J. Inst. Civil Eng. 11:133-156.
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Colebrook, C.F., White, C.M., 1937 Experiments with fluid friction in roughened pipes. Proc. Roy. Soc. London, Ser. A, 161:367-381.

Coles, D., 1956 The law of the wake in the turbulent boundary layer J. Fluid Mech. 1:191-226.

Corrsin, S. 1961. Turbulent flow. Am. Scientist 49(3):300-325

Dahm, W.J.A., and P.E. Dimotakis 1987 Measurements of Entrainment and Mixing in Turbulent Jets. AIAA J. 25(9):1216-1223.

Danaila, L., F. Anselmet, T. Zhou, and R.A. Antonia 1999 A generalization of Yaglom's equation which accounts for the large-scale forcing in heated decaying turbulence. J. Fluid Mech. 391:359-372.

Dimotakis, P.E., 1986 Two-Dimensional Shear-Layer Entrainment. AIAA J. 24(11):1791-1796.

Dimotakis, P.E., 2000 The mixing transition in turbulence. J. Fluid Mech. 409:69-98.

Dowling, D.R., and P.E. Dimotakis 1990 Similarity of the concentration field of gas-phase turbulent jets. J. Fluid Mech. 218:109-141.

Favre, A.F.A., 1992 Formulation of the statistical equations of turbulent flows with variable density. Studies in Turbulence (Springer-Verlag), 324-341.
Print available on reserve at Sherman Fairchild Library

Germano, M., 1986 A proposal for a redefinition of the turbulent stresses in the filtered Navier-Stokes equations. Phys. Fluids 29(7):2323-2324.

Germano, M., U. Piomelli, P. Moin, and W.H. Cabot 1991 A dynamic subgrid-scale eddy viscosity model. Phys. Fluids A 3(7):1760-1765.

Gibson, C. H. 1968. Fine Structure of Scalar Fields Mixed By Turbulence. I. Zero-Gradient Points and Minimal Gradient Surfaces. Phys. Fluids 11(11):2305-2315

Haaland, S.E., 1983 Simple and explicit formulas for the friction factor in turbulent pipe flow. J. Fluids Eng. - Trans. ASME 105(1):89-90.
Print available on reserve at Sherman Fairchild Library

Hill, R.J., 1997. Applicability of Kolmogorov's and Monin's equations of turbulence. J. Fluid Mech. 353:67-81

Hill. R.J., 2002. Exact second-order structure-function relationships. J. Fluid Mech. 468:317-326

Jimenez, J., 2004 Turbulent Flows over Rough Walls. Ann. Rev. Fluid Mech. 36:173-196.

Jones, W.P. and B. Launder 1972 The prediction of laminarization with a two-equation model of turbulence. Int. J. Heat & Mass Transfer 15(2):301-314.

Kolmogorov. A.N., 1941a. Local Structure of Turbulence in an Incompressible Viscous Fluid at Very High Reynolds Numbers. Dokl. Akad. Nauk SSSR 30:301-305. Reprinted 1967 in Usp. Fiz. Nauk 93:476-481, translated 1968 into English in Sov. Phys. Usp 10(6):734-736. Reprinted 1991 in Proc. Roy. Soc. London A 434:9-13.

Kolmogorov, A.N., 1941b Dissipation of energy in locally isotropic turbulence. Dokl. Akad. Nauk. SSSR 32(1):19- 21. reprinted 1991 in Proc. Roy. Soc. London A 434:15-17.

Kolmogorov, A.N., 1941c The logarithmically normal law of distribution of dimensions of particles when broken into small parts. Akad. Nauk SSSR 31(2):99-101 (Translated, V. Levin 1969 NASA TT F-12287).

Kolmogorov, A.N., 1962 A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number. J. Fluid Mech. 13:82-85. Translation of the Russian text of the lecture by the author at the Colloque International du C.N.R.S de Mechanique de la Turbulence (28 Aug - 2 Sep 1961, Marseilles, France)

Konrad, J.H., 1976 An Experimental Investigation of Mixing in Two-Dimensional Turbulent Shear Flows with Applications to Di usion-Limited Chemical Reactions. Ph.D. thesis, California Institute of Technology. Also available as Project SQUID Technical Report CIT-8-PU (December 1976).

Leonard, A., 1974 Energy cascade in large-eddy simulations of turbulent fluid flows. Advances in Geophysics 18A:237-248.
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Lundgren, T.S., 1982 Strained spiral vortex model for turbulent fine structure.Phys. Fluids 25:2193-2203.

Meneveau, C., T.S. Lund, and W.H. Cabot 1996. A Lagrangian dynamic subgrid-scale model of turbulence. J. Fluid Mech. 319:353-385.

Misra, A. and D.I. Pullin 1997 A vortex-based subgrid stress model for large-eddy simulation. Phys. Fluids 9(8):2443-2454.

Moody, L.F., 1944 Friction factors for pipe flow. Trans. ASME 66(8):671-684.
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Novikov, E.A., 1961 Energy Spectrum of an Incompressible Fluid in Turbulent Flow. Reports Ac. Sc. USSR 139(2):331-334, translated in Sov. Phys. Doklady 6(7):571-573 (1962).
Print available on reserve at Sherman Fairchild Library

Pao, Y.-H., 1965 Structure of turbulent velocity and scalar fields at large wavenumbers. Phys. Fluids 8(6):1063-1085.

Pao, Y.-H., 1968 Transfer of turbulent energy and scalar quantities at large wavenumbers. Phys. Fluids 11(6):1371-1372.

Papamoschou, D., 1989 Structure of the compressible turbulent shear layer. AIAA Paper 89-0126.

Patterson, C., G. Tilton, and M. Inghram 1955 Age of the Earth. Science (New Series) 121(3134):69-75.

Prandtl, L., 1925 Bericht uber Untersuchungen zur ausgebildeten Turbulenz. Zs. Angew. Math. Mech 5:136-139.
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Prandtl, L., 1927 Turbulent Flow. Lecture delivered before the International Congress for Applied Mechanics (Zurich, September 1926). Translated as NASA Technical Memorandum No. 435.

Prandtl, L., 1945 Uber ein neues Formelsystem fur die ausgebildete Turbulenz. Nachrichten der Akad. Wiss. Gottingen, Mathphys. 6-19.
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Pullin, D.I. and P.G. Saffman 1994 Reynolds stresses and one-dimensional spectra for a vortex model of homogeneous anisotropic turbulence. Phys. Fluids 6(5):1787-1796.

Reynolds, O., 1883 An Experimental Investigation of the Circumstances Which Determine Whether the Motion of Water Shall Be Direct or Sinuous, and of the Law of Resistance in Parallel Channels. Proc. Royal Soc. London 35:84-99.

Richardson, L.F., 1920 The Supply of Energy from and to Atmospheric Eddies. Proc. Roy. Soc. London 97(686):354-373.

Richardson, L.F., 1926 Atmospheric diffusion shown on a distance-neighbour graph. Proc. Roy. Soc. London A 110:709-737.

Ricou, F.P., D.B. Spalding 1961 Measurements of entrainment by axisymmetrical turbulent jets. J. Fluid Mech. 11:21-32.

Saddoughi, S.G. 1993 Local isotropy in high Reynolds number turbulent shear flows. Annual Research Briefs 1992:237-262 (Center for Turbulence Research, NASA Ames & Stanford University).
Please note this link is to the entire report - scroll to page 237 for this specific report.

Saddouglti, S.G and S.V. Veeravalli 1994 Local isotropy in turbulent boundary layers at high Reynolds number. J. Fluid Mech. 268:333- 372.

Saffman, P.G., 1963 On the fine-scale structure of vector fields convected by a turbulent fluid. J. Fluid Mech. 16(4):545-572.

Saffman, P. G. 1967. The large scale structure of homogeneous turbulence. J. Fluid Mech. 27(3):581-593

Saffman, P.G., 1968 Lectures on Homogeneous Turbulence. Topics in Non-Linear Physics (Ed. N. Zabusky, Springer-Verlag, Berlin), 485-614.
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Schmitt, F.G., 2007 About Boussinesq's turbulent viscosity hypothesis. Comptes Rendus Mecanique (Elsevier Masson 2007) 335(9-10):617-627.

Slessor, M.D., M. Zhuang, and P.E. Dimotakis 2000 Turbulent shear-layer mixing: growth-rate compressibility scaling. J. Fluid Mech. 414:35-45.

Smagorinsky, J., 1963 General circulation experiments with the primitive equations: I. The basic experiment. Monthly Weather Review 91(3):99-164.

Spalding, D.B., 1961 A Single Formula for the "Law of the Wall". J. Appl. Mech. 28(3):455-458.
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Spencer, B.W., and B.G. Jones 1971 Statistical Investigation of Pressure and Velocity Fields in the Turbulent Two Stream Mixing Layer. AIAA Paper 71-613. DOI: 10.2514/6.1971-613, additional citation information here.
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Squire, H.B., 1933 On the stability for three-dimensional disturbances of viscous fluid flow between parallel walls. Proc. Roy. Soc. London A 142(847):621-628.

Sreenivasan, K.R., and R. Narasimha 1982 Equilibrium Parameters for Two-Dimensional Turbulent Wakes. J. Fluids Eng. 104(2):167-169
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Taylor, G. I. 1935. Statistical Theory of turbulence. Parts I-IV. Proc. Roy. Soc. London A 151:421-478
Part I
Part II
Part III
Part IV

Thring, M.W., and Newby, M.P. 1953 Combustion length of enclosed turbulent jet flames. 4th (International) Symposium on Combustion, 1952 (The Williams and Wilkins Co.), p. 789.
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Van Driest, E.R., 1956 On turbulent flow near a wall. J. Aero. Sciences 23(11):1007-1011.
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Vincent, A., and M. Meneguzzi 1991 The spatial structure and statistical properties of homogeneous turbulence. J. Fluid Mech. 225:1-20.

von Karman, T., 1921 Uber laminare und turbulent Reibung. Zeit. fur angewanndte Mathematik und Mechanik (ZAMM) 1(4):233-252. Translated into English as: von Karman, Th., 1946 On laminar and turbulent friction. NACA TM 1092 (Washington, Sep. 1946).

von Karman, T. 1930 Mechanische ahnlichkeit und turbulenz. Gott. Nachr. 58-76. - NASA Technical Reports translation

von Karman, Th., 1937 On the Statistical Theory of Turbulence. Proc. Nat. Acad. of Sciences 23(2):98-105

von Karman, T., and L. Howarth 1938 On the Statistical Theory of Isotropic Turbulence. Proc. Roy. Soc. London A 164(917):192-215 .

Welander, P., 1955 Studies on the General Development of Motion in a Two-Dimensional, Ideal Fluid. Tellus 7(2):141-156.

Wikipedia 2018 Window function., downloaded 3 April 2018.