Asian Journal of Current Engineering and Maths 3: 6 November – December (2014) 66 – 71.
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ASIAN JOURNAL OF CURRENT ENGINEERING AND MATHS
Journal homepage: http://innovativejournal.in/ajcem/index.php/ajcem
66
CHEMICAL REACTION EFFECTS ON MHD FREE CONVECTIVE FLOW PAST AN
INCLINED PLATE
R. Mohana Ramana
1
, J. Girish Kumar
2
1
Assistant Professor of Mathematics, Sree Vidyanikethan Engineering College, Tirupati.
2
Lecturer in Mathematics, Govt. Degree College, Jammalamadugu, Kadapa (Dt.)
ARTICLE INFO ABSTRACT
Corresponding Author
J. Girish Kumar
Lecturer in Mathematics, Govt.
Degree College, Jammalamadugu,
Kadapa (Dt.)
jgireeshkumar@yahoo.co.in
Key Words: MHD, Chemical
reaction, porous medium,
Buoyancy ratio etc.
DOI:http://dx.doi.org/10.15520/aj
cem.2014.vol3.iss6.12.pp66-71.
Aim of this paper is to investigate the chemical reaction effects on transient
MHD free convective flow of a viscous incompressible electrically
conducting fluid along an inclined isothermal non-conducting plate in the
presence of transverse magnetic field and viscous dissipation. The
dimensionless governing equations are unsteady coupled and non-linear
partial differential equations. An analytic method fails to give a solution.
Hence an explicit finite difference scheme of DuFort - Frankel method, which
is unconditionally stable is employed. The effect of the chemical parameter
(Kr), magnetic parameter (M), buoyancy ratio parameter (N), Schmidt
number (Sc), Eckert number (Ec) on the velocity, temperature and
concentration fields are extensively discussed with the help of graphs.
©2014, AJCEM, All Right Reserved.
INTRODUCTION
Transport of momentum and energy in fluid-
saturated porous media with low porosities are commonly
described by Darcyǯs model for conservation of momentum
and by an energy equation based on the velocity field found
from this model by Kaviany [1]. In contrast to rocks, soil,
sand, and other media that do fall in this category, certain
porous material, such as foam metal and fibrous media,
usually have high porosity. Raptis [2] studied
mathematically the case of time varying two-dimensional
natural convection heat transfer of an incompressible
electrically conducting viscous fluid through a high porous
medium bounded by an infinite vertical porous plate.
The combined heat and mass transfer problems
with chemical reaction are of importance in many
processes and, therefore, have received a considerable
amount of attention in recent years. In processes, such as
drying, evaporation at the surface of a water body, energy
transfer in a wet cooling tower, and the flow in a desert
cooler, the heat and mass transfer occurs simultaneously.
Muthucumaraswamy and Ganesan [3] studied the effect of
chemical reaction and injection on the flow characteristics
in an unsteady upward motion of an isothermal plate.
Magnetohydrodynamic (MHD) is currently going
through a period of great enlargement and differentiation
of subject matter. The interest in magneto-hydrodynamic
(MHD) convection with heat transfer is renewed due to its
importance in the design of MHD generators, and
accelerators in geophysics, in the design of underground
water and energy storage systems, soil sciences,
astrophysics and so on. Several scholars have shown their
interest in MHD flows because of their varied applications.
Singh [4] examined the heat and mass transfer in MHD
boundary layer flow past an inclined plate with viscous
dissipation in porous medium. Saidul Islam et al. [5] have
analyzed the MHD free convection and mass transfer flow
with heat generation through an inclined plate.
Anand Rao and Shivaiah [6] noticed that the
chemical reaction effects on an unsteady MHD free
convective flow past an infinite vertical porous plate with
constant suction and heat source or generation. Gireesh
Kumar et al. [7] have examined the effects of the chemical
reaction and mass transfer on MHD unsteady free
convection flow past an infinite vertical plate with constant
suction and heat sink. Satya Narayana and Sravanthi [8]
have discussed the influence of variable permeability of
unsteady MHD convection flow past a semi-infinite inclined
pate with thermal radiation and chemical reaction. Sharma
et al. [9] have discussed the influence of chemical reaction
and radiation on unsteady MHD free convective flow and
mass transfer through viscous incompressible fluid past a
heated vertical plate immersed in porous medium in the
presence of heat source.
Reddy et al. [10] have analyzed the radiation and
chemical reaction effects on MHD heat and mass transfer
flow inclined porous heated plate. Israel-Cookey et al. [11]
have discussed the influence of viscous dissipation and
radiation on unsteady MHD free convection flow past an
infinite heated vertical plate in a porous medium with time