Linear Stability Analysis of Two Dimensional MHD Unsteady Flow of Viscous Fluid on a Shrinking Sheet

Abbas Ali Ghoto


Abstract— In this article, the work of Lund et al. (2019) has been extended for stability analysis, which was not considered in their study. In this study, the stability analysis of dual solutions for Caputo fractional-order-two dimensional MHD generalized viscous fluid over a shrinking sheet has been considered. The system of governing partial differential equations is reduced to the linearized system of eigenvalue problems. The resultant equations have been solved by using three stages Lobatto IIIa formula. The results revealed that the first solution is more stable as compared to the second solution, as expected. Further, it has been observed that the behavior of the initial growth of the disturbance is noticed for the unstable solution.


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