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Bulletin of Pure & Applied Sciences- Mathematics and Statistics
Year : 2017, Volume : 36e, Issue : 2
First page : ( 152) Last page : ( 164)
Print ISSN : 0970-6577. Online ISSN : 2320-3226.
Article DOI : 10.5958/2320-3226.2017.00017.0

Combined constant heat and mass flux effect on mhd free convective flow through a porous medium bounded by a vertical surface in presence of chemical reaction and radiation

Reddy P. Rama Krishna1, Raju M.C.2

1Research scholar, Department of Mathematics, Shri Venkateshwara University, Venkateshwara Nagar, Rajabpur, Gajraula, Amroha, Uttar Pradesh, 244236, Uttar Pradesh, India, E-mail: prkr12@yahoo.in

2Research supervisor, E-mail: mcrmaths@yahoo.co.in

*Corresponding Author: M.C. Raju, Department of Humanities & Sciences, Annamacharya Institute of Technology and Sciences, (Autonomous), Rajampet-516126, A.P. E-mail: mcrmaths@yahoo.co.in

Online published on 16 January, 2018.

Abstract

This paper presents the effects of radiation on a free convection flow bounded by a vertical surface embedded in porous medium with constant suction velocity under the influence of uniform magnetic field in the presence of a homogenous chemical reaction and viscous dissipation in detail considering in two cases viz. Case-I: Uniform plate Temperature and Uniform Concentration and Case-II: Constant heat flux and mass flux. The non-dimensional governing equations are solved analytically and the expressions for velocity, temperature, concentration fields are obtained. With the aid of the above, the expressions for skin friction, rate of heat and mass transfer are derived. The effects of various physical parameters on the above quantities have been discussed and analysed though graphs and tables. It is observed that in both the cases, the velocity decreases with increasing values of magnetic parameter M or radiation parameter F or chemical reaction parameter Kc or Prandtl number Pr.

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Keywords

MHD, Free convection, Radiation, Chemical reaction and constant heat and mass flux.

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