Stability analysis of MHD outer velocity flow on a stretching cylinder

• Published in: Alexandria engineering journal Vol. 57; no. 3; pp. 2077 - 2083
• Main Authors: Poply, Vikas, Singh, Phool, Yadav, A.K.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.09.2018; Elsevier
• Subjects: Dual solution; Heat transfer; MHD; Outer velocity; Stability analysis; Stretching cylinder; MHD; Dual solution; Stability analysis; Heat transfer; Stretching cylinder; Outer velocity
• ISSN: 1110-0168
• DOI: 10.1016/j.aej.2017.05.025

A study has been done on axisymmetric magnetohydrodynamic (MHD) flow of a viscous incompressible outer velocity fluid along a stretching cylinder. The momentum and heat partial differential equations are mold using similarity transformations into a set of nonlinear ordinary differential equations. These equations have been solved with the help of Runge-Kutta Fehlberg scheme numerically with shooting technique. It is found that the solution is not unique for stretching cylindrical surface. The dual solution exists for a certain range of fluid parameters on stretching surface. The stability analysis shown that the upper branch is a stable solution and the lower branch is a unstable solution. The critical point λc=-0.03211 of outer velocity parameter and the range of the unstable solution -0.03211=λc⩽λ⩽λr=0.1411 have been obtained for certain magnetic parameter. Also, the effects of MHD and outer velocity parameter with various other fluid parameters on heat transfer and flow characteristics have been analyzed and shown by figures and tables. The outcomes show that the outer velocity parameter has a substantial effect on MHD fluid flow in stretching cylindrical surface.