On the stability of generalized thermal shear flows
Abstract
A mathematical stability analysis is carried out for the physical situation where a horizontal layer of an incompressible inviscid heat conducting fluid incorporates a differential streaming in the horizontal direction and density variations in the vertical direction. The entire system is situated between two horizontal boundaries of different but uniform temperature, the temperature of the lower boundary being higher than that of the upper one. Temperature variations and streaming are continuous functions of the vertical coordinate everywhere in the flow. A marginal state solution of the governing equations is obtained and analyzed. It is shown that nonoscillatory modes, if they exist, are unstable.
 Publication:

Journal of Mathematical and Physical Sciences
 Pub Date:
 April 1977
 Bibcode:
 1977JMPS...11..165G
 Keywords:

 Flow Stability;
 Incompressible Fluids;
 Shear Flow;
 Thermal Stresses;
 Heat Transfer;
 Inviscid Flow;
 Perturbation Theory;
 Temperature Distribution;
 Fluid Mechanics and Heat Transfer