Unsteady stagnationpoint heat transfer during passage of a concentrated vortex
Abstract
The unsteady boundary layer due to a single rectilinear vortex filament approaching a 2D stagnation point is investigated. Assuming the vortex remains far from the surface, incompressible potential flow theory is used to determine the time dependent inviscid flow field. The unsteady boundary layer equations are solved by an alternatingdirectionimplicit finitedifference method. Two mechanisms which cause fluctuations in heat transfer are the unsteady velocity field in the boundary layer and secondly, the unsteady total temperature at the edge of the boundary layer. The relative importance of these mechanisms is dependent upon the total temperature fluctuations relative to the imposed temperature difference. As a vortex approaches a stagnation point it may be forced to one side of the stagnation line or the other, depending on its initial position. Results are presented for both of these cases.
 Publication:

AIAA, 24th Thermophysics Conference
 Pub Date:
 May 1989
 Bibcode:
 1989thph.conf...12R
 Keywords:

 Flow Distribution;
 Heat Transfer;
 Inviscid Flow;
 Stagnation Point;
 Unsteady Flow;
 Vortex Filaments;
 Boundary Layer Equations;
 Boundary Layer Flow;
 Finite Difference Theory;
 Incompressible Flow;
 Potential Flow;
 Temperature Gradients;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer