Revised Prandtl mixing length model applied to the two-dimensional turbulent classical wake |
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Affiliation: | 1. Department of Biology, New Mexico State University, Las Cruces, NM 88003, USA;2. Department of Plant and Environmental Sciences, New Mexico State University, Las Cruces, NM 88003, USA |
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Abstract: | Previous applications of Prandtl׳s mixing length model to turbulent wake flows, which neglect the kinematic viscosity of the fluid, have underestimated the width of the boundary layer. In this paper, we present a revised Prandtl mixing length model by including the kinematic viscosity of the fluid. We show that this model predicts a boundary that lies outside the one predicted by Prandtl. We also prove that the results for the two models converge for very large Reynolds number wake flows. |
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Keywords: | Prandtl׳s mixing length Turbulent classical wake Eddy viscosity Conservation law |
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