STABILITY ANALYSIS FOR THE HARTMANN FLOW WITH INTERFACIAL SLIP

Abstract: In the present research we study the effect of the slip length on the stability of the Hartmann flow by modifying the Orr-Sommerfeld problem to account for the slip effect. A MATLAB code based on Chebyshev collocation method is modified to solve the eigenvalue problem for the reference slip flow. The analysis is carried out for both symmetric and asymmetric slip conditions. It has been found that the interfacial slip significantly increases the critical Reynolds number even for very small slip lengths compared to the thickness of the Hartmann layer