Multiple Solutions for Slip Effects on Dissipative Magneto-Nanofluid Transport Phenomena in Porous Media: Stability Analysis

• Main Authors: Yogesh Gupta, Puneet Rana, Osman Anwar Beg, Ali Kadir
• Format: Article
• Language: English
• Published: Shahid Chamran University of Ahvaz 2020-10-01
• Series: Journal of Applied and Computational Mechanics
• Subjects: mhd; nanofluid; shrinking sheet; dual solutions; porous medium; eigenvalues
• Online Access: http://jacm.scu.ac.ir/article_14645_ba8ffee01bc3fc5273455817e9860362.pdf

In the present paper, a numerical investigation of transport phenomena is considered in electrically-conducting nanofluid flow within a porous bed utilizing Buongiorno’s transport model and <em>Runge-Kutta-Fehlberg fourth-fifth</em> order method. Induced flow by non-isothermal stretching/shrinking sheet along with magnetic field impact, dissipation effect, and slip conditions at the surface are also included. The numerical results show the existence of two branches of the solution for a selected range of the governing parameters. The physical significance of both branches of solutions is ensured by performing a stability analysis in which a linearized eigenvalue problem is solved. The multiple regression analysis with the help of MATLAB <em>LinearModel.fit</em> package has also been conducted to estimate the dependence of the parameters on Nusselt number.