Longitudinal vortex instabilities in laminar boundary layers over curved heated surfaces
Abstract
An analysis has been performed of penetrative convective instabilities arising from the combined action of thermal and centrifugal buoyancy forces. The objective has been to examine the effect of various mean temperature and velocity profiles on the critical limit and convective penetration of the disturbances. The linearized perturbation equations have been solved employing an approximate technique. The close analogy between streamline curvature and thermal stratification effects has been demonstrated. It is found that for parallel layers of fluid along curved heated walls, a unique stability curve for neutral disturbances may be obtained if the quantity plotted along the abscissa is Ra + κNG2 where Ra is the Rayleigh number, N_{G} is the Görtler number, and k is a constant which expresses the relative importance of the mean temperature and velocity profiles.
 Publication:

Physics of Fluids
 Pub Date:
 September 1974
 DOI:
 10.1063/1.1694952
 Bibcode:
 1974PhFl...17.1661K
 Keywords:

 Convective Flow;
 Flow Stability;
 Heat Transfer;
 Laminar Boundary Layer;
 Surface Geometry;
 Vortices;
 Buoyancy;
 Centrifugal Force;
 Curvature;
 Parallel Flow;
 Perturbation Theory;
 Rayleigh Number;
 Temperature Profiles;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer