Plane problem of the theory of convective heat and mass transfer
Abstract
A solution is obtained to the plane problem of convective heat transfer from a heated body of arbitrary shape in a flow of ideal incompressible heatconducting fluid. In Helmholtz variables the initial boundary value problem is reduced to the equivalent problem of convective heat transfer from a heated plate in the flow of an ideal incompressible fluid. This latter problem is solved, after appropriate transformations, by separation of variables in elliptic coordinates and the solution is represented in the form of a Mathieu function series. Simple asymptotic formulas are obtained for small and large Peclet numbers.
 Publication:

Prikladnaia Matematika i Mekhanika
 Pub Date:
 October 1978
 Bibcode:
 1978PriMM..42..848B
 Keywords:

 Conducting Fluids;
 Convective Heat Transfer;
 Incompressible Flow;
 Mass Transfer;
 Ablation;
 Bubbles;
 Ideal Fluids;
 Liquid Metals;
 Plate Theory;
 Fluid Mechanics and Heat Transfer