Instability of three dimensional electrically conducting fluid of magnetohydrodynamics Couette flow

Abstract

In this work, we consider a disturbed electrically conductive fluid between two parallel planes and study the stability of the fluid after applying a uniform magnetic field on it. We obtain a modified form of Orr-Sommerfeld system of equation and then use QZ (Qualitat and Zuverlassigkeit) technique to obtain neutral curves. We investigate the critical Reynolds numbers for large domain of Hartmann Number. Next we show that for particular values of oblique angle, Couette flow destabilizes in some range of magnetic field. We also show that the area of stability changes with change oblique angle, Hartmann number, Reynolds number and wave number. We also find that the instability region for Couette flow has conic type shape. It is found that magnetic field provides a stabilizing impact to the flow, and the extent of this impact is demonstrated for a range of Reynolds numbers. From numerical simulations, it is observed that a magnetic field with a specific magnitude stabilizes the Hartmann flow.

Instability of Hydromagnetic Hybrid Flow Fe2O3-Fe3O4 /H2O of Thermocapillary Layers of Shear-Thinning Nanofluids

“…Many research papers have been published on the instability of MHD flow in recent years. Z. Hussain * mehboob_maths@hu.edu.pk [2] worked on the instability of 3D electrical conducting of MHD Couette flow. It is concluded from his research that there is stabilizing effect on Hartmann flow due to the magnetic field with exact magnitude.…”