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Theory of turbulent shear flow

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  • Piest, Jürgen

Abstract

The paper deals with the analytical calculation of a coefficient function which is part of a formula for the turbulent friction force derived in a previous article. The function contains a space-time triple correlation of projected phase space variables in thermodynamic equilibrium. A relation to the unprojected correlation of the momentum density is derived; the latter is calculated with the aid of Martin-Siggia-Rose perturbation theory, and the Kawasaki nonlinear Langevin equation as a starting point. Two orders of the perturbation series are retained. Numerical calculation of the turbulent friction force for a special flow situation with the aid of these formulas will be described in a forthcoming paper.

Suggested Citation

  • Piest, Jürgen, 1990. "Theory of turbulent shear flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(3), pages 966-982.
  • Handle: RePEc:eee:phsmap:v:168:y:1990:i:3:p:966-982
    DOI: 10.1016/0378-4371(90)90266-U
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    1. Piest, Jürgen, 1992. "Theory of turbulent shear flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 187(1), pages 172-190.

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