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Appendix E: Semi-empirical Treatment of Simple Wall-Bounded Flows

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Abstract

Engineering models for turbulent flows are sets of finite numbers of equations (usually of differential type) to mimic the properties of selected classes of turbulent flows. They cannot claim rigorosity, since they apply unsupported guesses together with experimental information, dimensional analysis and mathematical properties to express the additional unknown terms (called closure models) as functions of the system variables.

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References

  1. Pope, S.B.: Turbulent Flows. Cambridge University Press, Cambridge, U.K. (2001)

    Google Scholar 

  2. Davidson, P.A.: Turbulence. Oxford University Press, Oxford, U.K. (2004)

    Google Scholar 

  3. Jakirlic, S., Hanjalic, K., Tropea, C.: Modeling rotating and swirling turbulent flows: a perpetual challenge. AIAA J. 40, 1984–1996 (2002)

    Article  ADS  Google Scholar 

  4. Poinsot, T., Veynante, D.: Theoretical and Numerical Combustion. R.T, Edwards, Philadelphia, PA (2001)

    Google Scholar 

  5. Durbin, P.A., Petterson Reif, B.A.: Statistical Theory and Modeling for Turbulent Flows. Wiley (2011)

    Google Scholar 

  6. Moser, R.D., Kim, J., Mansour, N.N.: DNS of turbulent channel flow. Phys. Fluids 11, 943–945 (1999)

    Google Scholar 

  7. Lee, M., Moser, R.D.: Direct numerical simulation of turbulent channel flow up to \(Re_{\tau }=5200\). JFM 774, 395–415 (2015)

    Article  ADS  Google Scholar 

  8. Nickels, T.B.: Turbulent Coflowing Jets and Vortex Ring Collisions. University of Melbourne, Australia. Ph.D. thesis (1993)

    Google Scholar 

  9. Pearson, B.R., Krogstad, P.A., van de Water, W.: Measurements of the turbulent energy dissipation rate. Phys. Fluids 14, 1288–1290 (2002)

    Article  ADS  Google Scholar 

  10. Cebeci, T., Bradshaw, P.: Momentum Transfer in Boundary Layers. Hemisphere Publisher Corp, Washington (1977)

    Google Scholar 

  11. Schlichting, H.: Boundary Layer Theory. McGraw-Hill (1987)

    Google Scholar 

  12. Wosnik, M., Castillo, L., George, W.K.: A theory for turbulent pipe and channel flow. JFM 421, 115–145 (2000)

    Article  ADS  Google Scholar 

  13. Nickels, T.B.: Inner scaling for wall-bounded flows subject to large pressure gradients. JFM 521, 217–239 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  14. Coles, D.E.: The law of the wake in the turbulent boundary layer. JFM 1, 191–226 (1956)

    Article  ADS  MathSciNet  Google Scholar 

Download references

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Correspondence to Wolfgang Kollmann .

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Kollmann, W. (2019). Appendix E: Semi-empirical Treatment of Simple Wall-Bounded Flows. In: Navier-Stokes Turbulence. Springer, Cham. https://doi.org/10.1007/978-3-030-31869-7_27

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