Heat or mass transfer from an open cavity
Abstract
This paper presents a mathematical model for heat or mass transfer from an open cavity. It is assumed that the Peclet number, based on conditions at the cavity, and the Prandtl number are both large. The model assumes heat or masstransfer boundary layers at the rim of the cavity vortex flow. Heat or mass exchange with the surrounding fluid occurs in a free boundary layer which spans the mouth of the cavity. It is shown that the solution depends upon a single parameter omega only. This parameter is determined by the flow field. For small and large values of omega matched asymptotic expansions are presented. The model is illustrated for a few simple flows in closed cavities. Etching, clot formation in flowing blood, lubrication and cooling of rough surfaces are mentioned as possible fields of application.
 Publication:

Journal of Engineering Mathematics
 Pub Date:
 April 1978
 DOI:
 10.1007/BF00043215
 Bibcode:
 1978JEnMa..12..129K
 Keywords:

 Cavities;
 Fluid Flow;
 Heat Transfer;
 Mass Transfer;
 Mathematical Models;
 Asymptotic Series;
 Blood Flow;
 Flow Distribution;
 Free Boundaries;
 Peclet Number;
 Vortices;
 Fluid Mechanics and Heat Transfer