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International Journal of Scientific Research in Science and Technology
Print ISSN: 2395-6011 | Online ISSN: 2395-602X (www.ijsrst.com)
doi : https://doi.org/10.32628/IJSRST229323
81
Study of MHD Mixed Convention Flow and Heat Transfer
Through Porous Media
Manish Kumar Pandey
1
, Hrishikesh Pandey
2*
1
Research Scholar, University Department of Mathematics, J. P. University, Chapra, Bihar, India
1
Department of Mathematics, Kamla Ray College, Gopalganj, J. P. University, Chapra, Bihar, India
Article Info
Volume 9, Issue 3
Page Number : 81-90
Publication Issue
May-June-2022
Article History
Accepted : 01 May 2022
Published : 12 May 2022
ABSTRACT
In this present paper, the effects of chemical reaction on two-dimensional
mixed convection flow and heat transfer of an electrically conducting
micropolar fluid in a porous medium between two parallel plates with Soret
and Dufour have been considered. The reduced flow field equations are solved
using the quasilinearization method. The effects of various parameters such as
Hartmann number, inverse Darcy's parameter, Schmidt number, Prandtl
number, chemical reaction rate, Soret and Dufour numbers on the velocity
components, microrotation, temperature distribution, and concentration are
studied in detail and presented in the form of graphs. The flow through porous
boundaries has many applications in science and technology such as water
waves over a shallow beach, mechanics of the cochlea in the human ear,
aerodynamic heating, flow of blood in the arteries, and petroleum industry.
Several authors have studied theoretically the laminar flow in porous channels.
Berman [1] considered the viscous fluid and analyzed the flow characteristics
when it passed through the porous walls. Later the same problem for different
permeability was studied by Terril and Shrestha [2]. The theory of micropolar
fluids was introduced by Eringen [3] which are considered as an extension of
generalized viscous fluids with microstructure. Examples for micropolar fluids
include lubricants, colloidal suspensions, porous rocks, aerogels, polymer
blends, and microemulsions. The same Berman problem with micropolar fluid
was discussed by Sastry and Rama Mohan Rao [4]. The flow and heat transfer
of micropolar fluid between two porous parallel plates was analyzed by Ojjela
and Naresh Kumar [5]. Srinivasacharya et al. [6] obtained an analytical solution
for the unsteady Stokes flow of micropolar fluid between two parallel plates.
The effect of buoyancy parameter on flow and heat transfer of micropolar fluid
between two vertical parallel plates was investigated by Maiti [7].
Keywords: MHD, Fluids, Porous Medium, Heat Transfer