Unsteady MHD free convective flow through a porous medium over an infinite vertical plate

AUTHOR AND
AFFILIATION

L. RAJENDRA PRASAD
Research Scholar, Department of Mathematics, Rayalaseema University, Kurnool, Andhra Pradesh, India 518007.
G. VISWANATHA REDDY
Professor, Department of Mathematics, Sri Venkateswara University, Tirupathi, Andhra Pradesh, India 517502

KEYWORDS:

Heat transfer, mass transfer, oscillatory suction, 35Q79, 80A20, 76S05, 76E06, 76R10

Issue Date:

July 2019

Pages:

53-68

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.31 – No.7

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DOI:

http://dx.doi.org/10.22147/jusps-A/310701

ABSTRACT:

In this paper we have considered the unsteady free convective flow of a viscous incompressible electrically conducting fluid over an infinite vertical porous plate under the influence of uniform transverse magnetic field with time dependent permeability and oscillatory suction. The governing equations of the flow field are solved by a regular perturbation method for small amplitude of the permeability. The closed form solutions for the velocity, temperature and concentration have been derived analytically and also its behaviour is computationally discussed with reference to different flow parameters with the help of profiles. The skin fiction on the boundary, the heat flux in terms of the Nusselt number and rate of mass transfer in terms of Sherwood number are also obtained and their behaviour computationally discussed.

Copy the following to cite this Article:

L. R. Prasad; G. V. Reddy, “Unsteady MHD free convective flow through a porous medium over an infinite vertical plate”, Journal of Ultra Scientist of Physical Sciences, Volume 31, Issue 7, Page Number 53-68, 2019


Copy the following to cite this URL:

L. R. Prasad; G. V. Reddy, “Unsteady MHD free convective flow through a porous medium over an infinite vertical plate”, Journal of Ultra Scientist of Physical Sciences, Volume 31, Issue 7, Page Number 53-68, 2019

Available from: http://www.ultrascientist.org/paper/1515/unsteady-mhd-free-convective-flow-through-a-porous-medium-over-an-infinite-vertica-l-plate


In this paper we have considered the unsteady free convective flow of a viscous incompressible electrically conducting fluid over an infinite vertical porous plate under the influence of uniform transverse magnetic field with time dependent permeability and oscillatory suction. The governing equations of the flow field are solved by a regular perturbation method for small amplitude of the permeability. The closed form solutions for the velocity, temperature and concentration have been derived analytically and also its behaviour is computationally discussed with reference to different flow parameters with the help of profiles. The skin fiction on the boundary, the heat flux in terms of the Nusselt number and rate of mass transfer in terms of Sherwood number are also obtained and their behaviour computationally discussed.