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Analysis of stability and dual solution of MHD outer fluid velocity with partial slip on a stretching cylinder


Volume: 1 Issue: 1
Year of Publication: 2019
Authors: Vikas Poply, Phool Singh, A. K. Yadav



Abstract

This manuscript discuss about the dual nature of solution, in MHD outer velocity flow, along with the stability analysis on stretching cylinder with partial slip. Differential equations are acquired by converting heat and momentum governing equations with similarity transformations. The numerical solutions of the transformed equations were computed by the Runge-Kutta Fehlberg scheme using shooting procedure. For stretching cylindrical surface, we obtained that the solution is not unique having partial slip. The dual nature of the solution exists in small range of outer velocity parameter on stretching surface. Stability analysis reveals that for lower branch (unstable solution) and upper branch (stable solution), the smallest eigenvalue is negative and positive respectively for the distinct entries of outer velocity parameter. The limit of the dual solution is -0.03211 = λ_c≤λ≤λ_r= 0.12651 for slip parameter, V = 0.1. Also, the influences of slip parameter, outer velocity parameter and magnetic parameter have been discussed on heat and flow transportation, which are presented through tables and figures.

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Keywords

Partial slip, Stretching cylinder, MHD, Stability analysis.




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