Higher approximations to the free convection flow from a heated vertical flat plate
Abstract
This paper is concerned with the problem of obtaining higher approximations for the free convection from a heated vertical flat plate to that represented by the well known solution of Schmidt and Beckmann. For large Grashof number, the perturbation problem is a singular one and the method of matched asymptotic expansions is used to construct inner and outer expansions for the velocity and temperature distributions. The small perturbation parameter is the inverse of the fourth root of the Grashof number and the expansions are shown to involve only integral powers of the perturbation parameter. The first three terms in the expansion are calculated and numerical results are presented for the velocity, temperature, skin friction and heat transfer. The agreement with experiment is found to be excellent, and the theory fully explains the discrepancies which exist between boundary layer theory and experiment.
 Publication:

Applied Scientific Research
 Pub Date:
 January 1975
 Bibcode:
 1975ApScR..30..193R
 Keywords:

 Convective Flow;
 Flat Plates;
 Flow Theory;
 Free Convection;
 Heat Transfer;
 Grashof Number;
 Skin Friction;
 Small Perturbation Flow;
 Fluid Mechanics and Heat Transfer