Accession Number : AD0606870

Title :   APPROXIMATE ANALYTICAL SOLUTION OF SIMILARITY BOUNDARY LAYER EQUATIONS WITH VARIABLE FLUID PROPERTIES,

Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE FLUID MECHANICS LAB

Personal Author(s) : Kemp,Nelson H.

Report Date : SEP 1964

Pagination or Media Count : 72

Abstract : An approximate method of the integral type is developed for computing heat transfer and shear stress in similarity boundary-layer problems of single fluids with variable fluid properties. It is applied to flat-plate, stagnationpoint, and shock-tube end-wall geometries. Simple analytical formulas are developed involving integrals over the fluid properties. When the corrected formulas are compared with exact solutions for power-law or combination-of-power-law fluid properties, agreement is found to within 3 to 5% for heat transfer rate and 4 to 8% for shear stress. These simple and accurate formulas may be used as correlation formulas for engineering estimates of heating and shear, or as guesses for starting the usual iterative procedure of exact solution of the similarity boundary layer equations. It is shown that a simple relation exists between the heat transfer in the stagnation-point and end-wall cases, enabling bounds on the stagnationpoint heat transfer rate to be found from calculations for the simple end-wall geometry. (Author)

Descriptors :   (*BOUNDARY LAYER, FLUID DYNAMICS), (*HEAT TRANSFER, INTEGRAL EQUATIONS), (*SHEAR STRESSES, INTEGRAL EQUATIONS), AERODYNAMIC HEATING, REENTRY VEHICLES, MATHEMATICAL ANALYSIS

Distribution Statement : APPROVED FOR PUBLIC RELEASE