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Theory of turbulent shear flow

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  • Piest, Jürgen

Abstract

A numerical test of an equation for the mean velocity field in turbulent shear flow is described. The equation has been derived by means of a statistical theory which is constructed in such a way that a closure problem is not encountered. This investigation and the calculation of certain universal coefficient functions have been reported in two precedent papers. For the test, the experimental data from the circular free jet are used to calculate the terms of the equation. The result is that the numerical values for the friction force field are insufficient for satisfying the equation. This deficiency is due to the friction force being up to now equated to the second-order term of its functional power series which has been considered a preliminary measure. It is necessary to include at least the third-order term into the approximation expression; possibly, a partial resummation of the total formula is required.

Suggested Citation

  • Piest, Jürgen, 1992. "Theory of turbulent shear flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 187(1), pages 172-190.
    • Handle: RePEc:eee:phsmap:v:187:y:1992:i:1:p:172-190
    DOI: 10.1016/0378-4371(92)90417-O
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    1. Piest, Jürgen, 1990. "Theory of turbulent shear flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(3), pages 966-982.
    2. Piest, Jürgen, 1989. "Theory of turbulent shear flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(2), pages 688-704.
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