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Computation of Incompressible Flows Using Turbulence Models

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Transition, Turbulence, and Noise

Part of the book series: The Springer International Series in Engineering and Computer Science ((SECS,volume 282))

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Abstract

In order to predict turbulent flows by finite difference solutions to the Reynolds equations, it becomes necessary to make closure assumptions regarding the apparent turbulent stress. Direct numerical simulations (DNS) avoid the closure problem by solving for the full, time-dependent Navier-Stokes equations. But, high resolution and large-computer capabilities are required to capture the turbulence structure. The recent expansion of computer capabilities makes DNS an important subject. Turbulence modeling of the Reynolds-averaged equation, however, is still considered the practical engineering tool. All presently known turbulence models have limitations; the ultimate turbulence model has yet to be developed. It is important to remember that turbulence models must be verified by comparing predictions with experimental measurements. Care must be taken in interpreting predictions obtained from models outside the range of conditions over which they have been verified by comparisons with experimental data.

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References

  • Ayad, S.S. and Mankbadi, R.R., 1988, “A Study of Wake-Generated Unsteadiness in a Channel Flow. Part I - The Mean Flow,” in Forum on Unsteady Flow SeparationK.N. Ghia, ed., ASME, pp. 231–239.

    Google Scholar 

  • Boussinesq, J., 1877, “Essai sur la Theorie des Eaux Courantes,” Mem. Pres. Div. Savants Acad. Sci.vol. 23, p. 46.

    Google Scholar 

  • Bradshaw, P., Cebeci, I., and Whitelaw, J.H., 1981 Engineering Calculation Methods for Turbulent FlowAcademic Press, London.

    MATH  Google Scholar 

  • Bradshaw, P., Ferris, D.H., and Atwell, N.P., 1967, “Calculation of Boundary-Layer Development Using the Turbulent Energy Equations,” J. Fluid Mech.vol. 28, pt. 3, pp. 593–615.

    Article  ADS  Google Scholar 

  • Byrne, J., Hatton, A.P., and Marriot, P.G., 1970, “Turbulent Flow and Heat Transfer in the Entrance Region of a Parallel Wall Passage,” Proc. Inst. Mech. Eng.vol. 184, pt. 1, pp. 697–712.

    Article  Google Scholar 

  • Cebeci, I. and Smith, A.M.O., 1979 Analysis of Turbulent Boundary Layers, Academic Press.

    Google Scholar 

  • Compte-Bellot, G., 1963 “Turbulent Flow Between Two Parallel Walls,”Ph.D. Thesis (in French), University of Grenoble, English Translation, Aeronautical Research Council, ARC-31609, FM-4102. (Avail. NTIS, 72N74881.)

    Google Scholar 

  • Daly, B.J. and Harlow, F.H., 1970, “Transport Equations in Turbulence,” Phys. Fluidsvol. 13, pp. 2634–2649.

    Article  ADS  Google Scholar 

  • Dean, R.B., 1974, “Interaction of Shear Layers in Ducts and Diffusers,” Ph.D. Thesis, Imperial College, London University, United Kingdom.

    Google Scholar 

  • Dean, R.B., 1978, “Reynolds Number Dependence of Skin Friction and Other Bulk Flow Variables in Two-Dimensional and Rectangular Duct Flow,” J. Fluids Eng.vol. 100, no. 2, pp. 215–223.

    Article  MathSciNet  Google Scholar 

  • Deardoff, J.W., 1970, “A Numerical Study of Three-Dimensional Turbulent Channel Flow at Large Reynolds Numbers,” J. Fluid Mech.vol. 41, pp 453–480.

    Article  ADS  Google Scholar 

  • El-Mehlawy, F.M. and Mankbadi, R.R., 1990, “Heat Transfer in Oscillating Flows,” International Symposium on Nonsteady Fluid Dynamics, J.A. Miller and D.P. Telionis, eds., ASME, pp. 329–337.

    Google Scholar 

  • Gosman, A.D. and Pun, W.M., 1974, Lecture Notes on “Computation of Recirculating Flows,” Imperial College, London.

    Google Scholar 

  • Harlow, F.M. and Nakayama, P.I., 1967, “Turbulence Transport Equations.” Phys. Fluidsvol. 10, pp. 2323–2332.

    Article  ADS  MATH  Google Scholar 

  • Hinze, J.O., 1975 Turbulence2nd ed., McGraw-Hill.

    Google Scholar 

  • Hussain, A.K.M.F. and Reynolds, W.C., 1975, “Measurements in Fully Developed Turbulent Channel Flow,” J. Fluids Eng.vol. 97, no. 4, pp. 568–580.

    Article  Google Scholar 

  • Jones, W.P. and Launder, B.E., 1972, “The Prediction of Laminarization With a Two-Equation Model of Turbulence,” Int. J. Heat & Mass Transfer.vol. 15, no. 2, pp. 301–314.

    Article  Google Scholar 

  • Kolomogorov, A.N. 1942, “Equations of Turbulent Motions of an Incompressible Turbulent Fluid.” Izu. Akad. Nauk SSSR Ser. Phys. VIno. 1–2, p. 56.

    Google Scholar 

  • Launder, B.E. and Spalding, D.B., 1972 Mathematical Models of Turbulence, Academic Press.

    MATH  Google Scholar 

  • Launder, B.E. and Spalding, D.B., 1974, “The Numerical Computation of Turbulent Flow,” Compu. Meth. Appl. Mech. Eng.vol. 3, pp. 269–289.

    Article  MATH  Google Scholar 

  • Launder, B.E., Reece, G.J., and Rodi, W., 1975, “Progress in the Development of a Reynolds Stress Turbulence Closure,” J. Fluid Mech.vol. 68, pp. 537–566.

    Article  ADS  MATH  Google Scholar 

  • Malik, M.R. and Pletcher, R.H., 1981, “A Study of Some Turbulence Models for Flow and Heat Transfer in Ducts of Annular Cross-Section,” J. Heat Trans.vol. 103, no. 1, pp. 146–152.

    Article  Google Scholar 

  • Mankbadi, R.R. 1989, “A Study of Unsteady Rotor-Stator Interactions,” J. Turbomachinery vol. 111, pp. 394–400.

    Article  Google Scholar 

  • Naot, D., Shavit, A., and Wolfshtein, M., 1973, “Two-Point Correlation Model and the Redistribution of Reynolds Stresses,” Phys. Fluidsvol. 16, no. 6, pp. 738–743.

    Article  ADS  MATH  Google Scholar 

  • Patel, V.C., Rodi, W., and Scheuerer, G., 1985, “Turbulence Models for Near-Wall and Low Reynolds Number Flows, A Review,” AIAAJvol. 23, pp. 1308–1319.

    Article  MathSciNet  ADS  Google Scholar 

  • Patankar, V.S., 1980 Numerical Methods in Heat and Fluid FlowMcGraw-Hill, New York.

    Google Scholar 

  • Prandtl, L., 1945, “Uber eine neue Formelystem fur die Ausgebildete Turbulenz,” Nachrichten der Akad. Wiss. Gottingen, Math. Phys., p. 6.

    Google Scholar 

  • Rodi, W., 1978, “Turbulence Models and Their Applications in Hydraulics—A State of the Art Review.” Univer. Karlsruhe SFB 801 T/127.

    Google Scholar 

  • Rotta, J., 1956, “Experimenteller Beitrag zur Entstehung Turbulenter Stromung im Rohr.” Ing. Arch.vol. 24, pp. 258–281.

    Article  Google Scholar 

  • Reynolds, W.C., 1976, “Computation of Turbulent Flows,” Ann. Rev. Fluid Mechanicsvol. 8, M. Van Dyke, et al., ed., Annual Reviews Inc., Palo Alto, CA, pp. 183–208.

    Google Scholar 

  • Rubesin, M.W. et al., 1977, “A Critique of Some Recent Second-Order Turbulence Closure Models for Compressible Boundary Layers,” AIAA Paper 77–128, Jan.

    Google Scholar 

  • Schoenung B.Mankbadi, R.R. and Rodi, W., 1989, “Computational Study of the Unsteady Flow Due to Wakes Passing Through a Channel,” Turbulent Shear Flows, Springer-Verlag, pp. 255–268.

    Google Scholar 

  • Smyth, R., 1979, “Turbulent Flow Over a Plane Symmetric Sudden Expansion,” J. Fluids Eng.vol. 101, no. 3, pp. 348–353.

    Article  MathSciNet  Google Scholar 

  • van Driest, E.R., 1956, “On Turbulent Flow Near a Wall,” J. Aeronaut. Sci.vol. 23, no. 11, pp. 1007–1011.

    Article  MATH  Google Scholar 

  • Zemanick, P.P. and Dougall, R.S., 1970, “Local Heat Transfer Downstream of Abrupt Circular Channel Expansion,” J. Heat Trans.vol. 92, no. 1, pp. 53–60.

    Article  Google Scholar 

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Mankbadi, R.R. (1994). Computation of Incompressible Flows Using Turbulence Models. In: Transition, Turbulence, and Noise. The Springer International Series in Engineering and Computer Science, vol 282. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2744-2_5

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  • DOI: https://doi.org/10.1007/978-1-4615-2744-2_5

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-7923-9481-5

  • Online ISBN: 978-1-4615-2744-2

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