Studying The Effects Of Vertical-Horizontal Grooves On The (T-S) instabilities Of Thermo-viscous flows over a Heated Rough Plate

Resumen

The present paper studies the effects of flow and the stability behavior of an external boundary
layer flow on the wave surface of a heated plate for a fluid. In addition to the effect of roughness, we took into
account the temperature-dependent viscosity of the fluid. The grooved wall in a wavelike form is applied to
the flow by modifying the no-penetration conditions on a heated plate. Our results indicate that increasing
both temperature sensitivity, and the height of grooves acts to move the velocity and temperature profiles
toward the plate surface with Liquid-type viscosities. Whereas gas-type viscosities act to show the reverse
effect with decreasing both the height of the rough surface and temperature dependence. We then numerically
examined impact on the linear stability and found that increasing the depth of wave-like grooves enhances the
flow stability. This investigation is confirmed by a sharply reduction in the total energy contributions. This
study may contribute to many applications in engineering and industrial fields.