MHD mixed flow of unsteady convection with radiation over a vertical porous plate: Lie group symmetry analysis

Authors

  • Govind R Rajput SVKMs NMIMS University, Mumbai, India http://orcid.org/0000-0001-9572-7840
  • V. S. Patil Department of Mathematics, Govt. College of Engineering, Karad-415124, India
  • B. P. Jadhav Department of Applied Mathematics, SVKMs, NMIMS, Mukesh Patel School of Technology Management and Engineering, Shirpur campus, Shirpur-425405, India

DOI:

https://doi.org/10.24132/acm.2017.380

Keywords:

MHD, porous media, symmetry analysis

Abstract

In this paper, we study the magnetohydrodynamic (MHD) mixed unsteady flow over a vertical porous plate. The system of non-linear partial differential equations governing the physical model is transformed into a system of non-linear ordinary differential equations via Lie group analysis. Using the Runge-Kutta fourth order method along with shooting technique the numerical analysis is carried out to study the effect of associated parameters on the velocity, temperature and concentration distribution. Computed results for the velocity, temperature and concentration distribution are discussed graphically.

Author Biographies

  • V. S. Patil, Department of Mathematics, Govt. College of Engineering, Karad-415124, India
    Department of Mathematics, Govt. College of Engineering, Karad-415124, India
  • B. P. Jadhav, Department of Applied Mathematics, SVKMs, NMIMS, Mukesh Patel School of Technology Management and Engineering, Shirpur campus, Shirpur-425405, India
    Department of Applied Mathematics, SVKMs, NMIMS, Mukesh Patel School of Technology Management and Engineering,
    Shirpur campus, Shirpur-425405, India

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Published

31-Dec-2017

Issue

Vol. 11 No. 2 (2017)

Section

Articles

License

Copyright (c) 2017 Applied and Computational Mechanics

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

“MHD mixed flow of unsteady convection with radiation over a vertical porous plate: Lie group symmetry analysis” (2017) Applied and Computational Mechanics, 11(2). doi:10.24132/acm.2017.380.