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A simple procedure is developed for approximate calculations of wall heat-transfer rates in transpired boundary layers. Applications of this procedure are illustrated by various examples of incompressible, laminar flows in the limits of large and small Prandtl numbers. A distinguished limit of large Prandtl number and small mass-transfer rate is easily identified, and some limiting solutions are presented for the porous-plate configuration. Calculations for the cases with small Prandtl numbers explicitly demonstrate the usefulness of the method in studying transient heat-conduction problems. The remarkable combination of accuracy and simplicity represents the principal merit of the method. (Author).
An approximate method of calculating the surface heat transfer in a transpired boundary layer is presented. The method is based on an idea for refining the momentum integral technique. A semi-infinite, isothermal flat plate with uniform surface mass flux is used to demonstrate the method. The flow is assumed to be laminar. Results are presented for both incompressible and compressible boundary layers, and comparisons are made with numerical solutions or other approximate results. The findings are indicative of the potential of the method for development into an efficient tool for studying boundary-layer flows of a more complex nature. (Author Modified Abstract).
An analysis was performed to determine the effects on the rates of convective heat transfer produced by arbitrary variations of the surface temperature with distance along a flat plate. The analysis was confined to the case of a low-speed turbulent boundary layer on a flat plate oriented parallel to the free-stream velocity. It was found that a continuously variable surface temperature has, in general, a smaller effect on the local convective heat transfer than does a surface-temperature discontinuity.
Reflects the growing practical applications for methods of computing the turbulent boundary layer based on relative limiting friction and heat exchange laws. Highlighted are conditions existing under two-phase flow and novel applications of injection critical parameters.