Multiple solutions for slip effects on dissipative magneto-nanofluid transport phenomena in porous media : stability analysis

Gupta, Y; Rana, P; Beg, OA; Kadir, A

Abstract

The present paper considers a numerical investigation of transport phenomena in electricallyconducting nanofluid flow within a porous bed utilizing Buongiorno’s transport model and Runge-Kutta-Fehlberg fourth-fifthorder 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 help of MALTAB LinearModel.fitpackage has also been conducted to estimate the dependency of the parameters on Nusselt number.

• Journal Article Type: Article
• Acceptance Date: Aug 9, 2019
• Online Publication Date: Oct 31, 2019
• Publication Date: Jan 1, 2020
• Deposit Date: Aug 12, 2019
• Publicly Available Date: Nov 1, 2019
• Journal: Journal of Applied and Computational Mechanics
• Electronic ISSN: 2383-4536
• Volume: 6
• Issue: 4
• Pages: 956-967
• DOI: https://doi.org/10.22055/JACM.2019.30144.1689
• Publisher URL: http://dx.doi.org/10.22055/JACM.2019.30144.1689
• Related Public URLs: http://jacm.scu.ac.ir/