Calculation of Heat Transfer from Similarity Boundary Layer Equations by a Simple Integral Method.
AVCO EVERETT RESEARCH LAB INC EVERETT MA
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A simple integral method is developed for calculation of the heat transfer rate from similarity boundary layer equations with arbitrary variation of fluid properties. The method is applied to the end wall of a shock tube behind a reflected shock in a perfect gas, and to the stagnation point for a gas in thermodynamic equilibrium with Lewis number unity. Explicit formulas and results are obtained when the fluid propertiesARE POWERS OF THE ENTHALPY OR TEMPERATURE, AND THE Prandtl number is constant. For the end wall geometry, an analytical expression for the heat transfer rate is derived which can be correlated with exact calculations within 3 for all cases compared. For the stagnation point geometry, two pair of transcendental algebraic equations are obtained, one pair of which gives the heat tranfer rate when the momentum layer is thinner than the energy layer, the other pair when it is thicker. Numerical solutions of these equations can be correlated with exact solutions to within 4. The integral method indicates the pressure gradient parameter and Prandtl number can be combined into only one parameter, and examination of results of exact calculations shows this correlation to be quite accurate. Author
- Fluid Mechanics