Coherent Structure Modeling of Viscous Sublayer Turbulence for Incompressible Flow with Heat Transfer and for Compressible Flow.
Annual scientific rept. no. 1, 1 Jan-31 Dec 82,
STANFORD UNIV CA DEPT OF AERONAUTICS AND ASTRONAUTICS
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The general objective of the present research is to develop a Navier-Stokes computational model of the time-dependent dynamics and heat transfer in a compressible viscous sublayer. Specific objectives are to compute the variation of turbulent Prandtl number across the sublayer for fluids of different molecular Prandtl number, and for flows with streamwise pressure gradient. Various existing theories for turbulent Prandtl number near a wall are shown to differ greatly. An exact analytical solution for oscillating shear flow with heat transfer has been derived and used to test satisfactorily the accuracy of the numerical algorithms to be used in the equations of motion for the time-dependent, heat-conduction, and viscous terms. Most of the necessary programming to adapt the Pulliam-Steger code to viscous sublayer modeling has been completed, and some debugging has begun. Boundary conditions have been formulated for the first test case without heat transfer, and for the initial runs to be made with heat transfer. Author
- Numerical Mathematics
- Fluid Mechanics