Analytic study of MHD flow and boundary layer control over a nonisothermal flat plate

Shanmugapriya, M.

International Journal of Advanced and Applied Sciences

Int. j. adv. appl. sci.

EISSN: 2313-3724

Print ISSN: 2313-626X

Volume 4, Issue 4 (April 2017), Pages: 67-72

Title: Analytic study of MHD flow and boundary layer control over a nonisothermal flat plate

Author(s): M. Shanmugapriya *

Affiliation(s):

Department of Mathematics, SSN College of Engineering, Chennai, India

https://doi.org/10.21833/ijaas.2017.04.011

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Abstract:

The objective of the present work is to investigate the boundary layer flow and heat transfer over a moving flat plate in the presence of a transverse magnetic field. Gyarmati’s variational principle developed on the thermodynamic theory of irreversible processes is employed to solve the problem numerically. The governing boundary layer equations are approximated as simple polynomial functions, and the functional of the variational principle is constructed. The Euler-Langrange equations are reduced to simple polynomial equations in terms of boundary layer thicknesses. The velocity and temperature as well as skin friction and heat transfer parameters are analysed for any given values of Prandtl number P_r, magnetic parameter M, Eckert number Ec, moving parameter Ɛ and n. The obtained numerical solutions are compared with known numerical solutions and the comparison is found to be satisfactory.

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

Keywords: Gyarmati’s variational principle, MHD boundary layer, Heat transfer, Non-isothermal

Article History: Received 16 December 2016, Received in revised form 12 February 2017, Accepted 20 February 2017

Digital Object Identifier:

https://doi.org/10.21833/ijaas.2017.04.011

Citation:

Shanmugapriya M (2017). Analytic study of MHD flow and boundary layer control over a nonisothermal flat plate. International Journal of Advanced and Applied Sciences, 4(4): 67-72

http://www.science-gate.com/IJAAS/V4I4/Shanmugapriya.html

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