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Invariance Analysis of Unsteady Thermal MHD Natural Convection of Boundary Layer Flow using Group Theoretic Method

Nita Jain, Sanjay Prajapati, M. G. Timol Published in Information Sciences

IJAIS Proceedings on International Conference and Workshop on Communication, Computing and Virtualization
Year of Publication: 2015
© 2015 by IJAIS Journal
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  1. Nita Jain, Sanjay Prajapati and M g Timol. Article: Invariance Analysis of Unsteady Thermal MHD Natural Convection of Boundary Layer Flow using Group Theoretic Method. IJAIS Proceedings on International Conference and Workshop on Communication, Computing and Virtualization ICWCCV 2015(3):32-37, September 2015. BibTeX

    @article{key:article,
    	author = "Nita Jain and Sanjay Prajapati and M.g. Timol",
    	title = "Article: Invariance Analysis of Unsteady Thermal MHD Natural Convection of Boundary Layer Flow using Group Theoretic Method",
    	journal = "IJAIS Proceedings on International Conference and Workshop on Communication, Computing and Virtualization",
    	year = 2015,
    	volume = "ICWCCV 2015",
    	number = 3,
    	pages = "32-37",
    	month = "September",
    	note = "Published by Foundation of Computer Science, New York, USA"
    }
    

Abstract

The similarity solution of unsteady, incompressible MHD thermal boundary layer flow in natural convection has been investigated using group-theoretic transformations. Two parameter group transformations is applied for simultaneous elimination of more than one independent variable. Consequently the system of governing highly non-linear partial differential equations with auxiliary conditions reduces to a non-linear ordinary differential equation with appropriate auxiliary conditions. Effects of all emerging physical parameters are demonstrated with the help of graphs for both velocity and temperature distribution. The numerical solution is derived systematically in dimensionless form as an application of engineering with MATLAB.

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Keywords

MHD thermal flow, two parameter group–theoretic method, similarity solution