Analysis of Transpiration Cooling of a Thin Porous Plate in a Hot Laminar Convective Flow

Abstract

This paper deals with the asymptotic and numerical analysis for the steady-state transpiration cooling of a thin porous flat plate in a laminar hot convective flow, taking into account the longitudinal heat conduction through the plate. For very good conducting plates, a regular perturbation analysis has been done, obtaining a three-term asymptotic solution for the distribution of the temperature of the plate.
Parallel we solved numerically the equations using a quasilinearization technique.
The numerical results are in good agreement with the asymptotic solution close to the asymptotic limit studied.