Models Based on Boussinesq Approximation

  • Anupam DewanEmail author


This chapter presents the simplest way to handle the Reynolds-averaged Navier–Stokes (RANS) equations by using the Boussinesq approximation to close the system of equations. We also present a wide variety of turbulence models that can be employed using the Boussinesq approximation. It is shown that though this assumption involves major simplification, it leads to fairly accurate predictions in many simple situations. Some such situations are illustrated in this chapter.


Turbulence Kinetic Energy Reynolds Stress Eddy Viscosity Boussinesq Approximation Turbulent Transport 
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  1. Baldwin BS, Barth TJ (1990) A one-equation turbulence transport model for high Reynolds number wall-bounded flows. NASA TM-102847Google Scholar
  2. Baldwin BS, Lomax H (1978) Thin-layer approximation and algebraic model for separated flows, AIAA paper 78–257, Huntsville, USAGoogle Scholar
  3. Cebeci T, Smith AMO (1974) Analysis of turbulent boundary layers, Ser Appl Math Mech, vol 15, Academic Press, New YorkGoogle Scholar
  4. Klebanoff PS (1955) Characteristics of turbulence in a boundary layer with zero pressure gradient, NACA TN 3178Google Scholar
  5. Launder BE, Spalding DB (1974) The numerical computation of turbulent flow. Comput Methods Appl Mech Energy 3:269–289zbMATHCrossRefGoogle Scholar
  6. Prandtl L (1925) Uber die ausgebildete Turbulenz. ZAMM 5:136–139zbMATHGoogle Scholar
  7. Spalart PR, Allmaras SR (1992) A one equation turbulence model for aerodynamic flows, AIAA paper 92–439, Reno, USAGoogle Scholar
  8. Wilcox DC (1989) Reassessment of the scale determining equation for advanced turbulence models. AIAA J 26(11):1299–1310MathSciNetCrossRefGoogle Scholar
  9. Wilcox DC (2006) Turbulence modeling for CFD, 3rd edn. DCW Industries, California, pp 303–308Google Scholar

Copyright information

© Springer-verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Department of Applied MechanicsIndian Institute of Technology, DelhiHauz KhasIndia

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