Instability of the flow over a porous surface: Linear stability analysis

Direct numerical simulations of the fully developed turbulent flow through a porous channel show the appearance of short span-wise rollers at the fluid-porous interface along with the streaky structures of wall-bounded turbulence near the upper wall of the channel. The scope of the present research project is to investigate the instabilities in...

Spatio-Temporal Stability Analysis of Shear Flows: Using analytical and non-analytical approaches

A comprehensive understanding of the stability of shear flows is a fundamental problem in fluid mechanics and it has been a subject of both theoretical and practical interest in engineering research. A key aspect of these dynamic flows is the behaviour exhibited by the instabilities as it evolves from initial small perturbations of an...