Doublediffusive counterbuoyant boundary layer in laminar natural convection
Abstract
Double diffusive counterbuoyant boundary layers may possess the classical selfsimilar structure only within two distinct and disconnected subdomains of the physical parameter space. In the outer dominated subdomain, it is the more diffusive (and hence, outermost) of the buoyancy mechanisms which controls the primary direction of flow and the direction of boundary layer growth, and the converse is true for inner dominated flows. Between the inner dominated and outer dominated domains there lies an unexplored domain of nonsimilar flows. Along the similar/nonsimilar borders there are marginal zones of nonuniqueness in which a multiplicity of selfsimilar solutions may exist. The selfsimilar subdomains are investigated by several numerical methods (shooting, finite differences, and Picard's method) and by the method of matched asymptotic expansions (at high Prandtl number and/or high Lewis number) in order to demonstrate the qualitative features and to map out the borderlines of incipient counterflow.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 October 1981
 Bibcode:
 1981STIN...8226626N
 Keywords:

 Boundary Layer Flow;
 Convective Flow;
 Free Convection;
 Laminar Boundary Layer;
 Analysis (Mathematics);
 Counterflow;
 Mathematical Models;
 Numerical Analysis;
 Fluid Mechanics and Heat Transfer