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

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 Ru...

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Main Authors: Rajput G. R., Patil V. S., Jadhav B. P.
Format: Article
Language:English
Published: University of West Bohemia 2017-12-01
Series:Applied and Computational Mechanics
Subjects:
Online Access:https://www.kme.zcu.cz/acm/acm/article/view/380/438
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author Rajput G. R.
Patil V. S.
Jadhav B. P.
author_facet Rajput G. R.
Patil V. S.
Jadhav B. P.
author_sort Rajput G. R.
collection DOAJ
description 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.
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spelling doaj.art-a012579c149b4ec5b7a6338570c2701f2022-12-21T18:47:12ZengUniversity of West BohemiaApplied and Computational Mechanics1802-680X2336-11822017-12-0111215516610.24132/acm.2017.380MHD mixed flow of unsteady convection with radiation over a vertical porous plate: Lie group symmetry analysisRajput G. R.0Patil V. S.1Jadhav B. P.2Mukesh Patel School of Technology, Management and Engineering, Department of Applied Mathematics, Shirpur, IndiaGovernment College of Engineering, Department of Mathematics, Karad, IndiaMukesh Patel School of Technology, Management and Engineering, Department of Applied Mathematics, Shirpur, IndiaIn 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.https://www.kme.zcu.cz/acm/acm/article/view/380/438MHDporous mediasymmetry analysis
spellingShingle Rajput G. R.
Patil V. S.
Jadhav B. P.
MHD mixed flow of unsteady convection with radiation over a vertical porous plate: Lie group symmetry analysis
Applied and Computational Mechanics
MHD
porous media
symmetry analysis
title MHD mixed flow of unsteady convection with radiation over a vertical porous plate: Lie group symmetry analysis
title_full MHD mixed flow of unsteady convection with radiation over a vertical porous plate: Lie group symmetry analysis
title_fullStr MHD mixed flow of unsteady convection with radiation over a vertical porous plate: Lie group symmetry analysis
title_full_unstemmed MHD mixed flow of unsteady convection with radiation over a vertical porous plate: Lie group symmetry analysis
title_short MHD mixed flow of unsteady convection with radiation over a vertical porous plate: Lie group symmetry analysis
title_sort mhd mixed flow of unsteady convection with radiation over a vertical porous plate lie group symmetry analysis
topic MHD
porous media
symmetry analysis
url https://www.kme.zcu.cz/acm/acm/article/view/380/438
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AT jadhavbp mhdmixedflowofunsteadyconvectionwithradiationoveraverticalporousplateliegroupsymmetryanalysis