TURBULENT BOUNDARY LAYER IN A GAS FLOW WITH HEAT TRANSFER AND A PRANDTL NUMBER DIFFERENT FROM UNITY
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OH
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The existing methods of calculation of turbulent boundary layer in a gas with heat transfer for both the case of a flow past a flat plate and for the flow with pressure gradients are based on the transfer to gas dynamics of the formulas of semi-empirical theories of turbulence. This article is in this sense no exception. The solution is obtained for the flow of gas with a moderate pressure gradient and with an arbitrary temperature distribution at the wall since the Karman semi-empirical theory is used. The influence of the pressure gradient is calculated only across the external flow. The temperature range is examined in which the Prandtl number and the specific heat can be considered constant, regardless of temperature. The analytical expression for the parameter H deltadelta is obtained, depending on the conditions at the wall and at the exterior boundary layer. The final formula obtained for the calculation of friction does not require the use of various types of auxiliary graphs and tables, as in other existing methods. This advantage can prove to be beneficial in a number of cases. The calculation of heat transfer is based on Reynolds analogy.
- Fluid Mechanics