International Journal of Applied Engineering Research ISSN 0973-4562 Volume 13, Number 18 (2018) pp. 13919-13931
© Research India Publications. http://www.ripublication.com
13919
On three Dimensional Oscillating Flow of Magneto-micropolar Fluid Past an Inclined
Plate with Radiation Absorption, Chemical Reaction and Heat Generation
Sanjib Sengupta
1
and Reshmi Deb
2
Department of Mathematics, Assam University, Silchar, India.
Abstract
The aim of the present paper is to investigate the effect of heat
generation and thermal radiation on the three dimensional free
convective heat and mass transfer flow of an incompressible,
magnetohydrodynamic (MHD) micropolar fluid over an
inclined oscillating porous plate in the presence of first-order
chemical reaction. The governing dimensionless equations are
solved analytically by using perturbation technique. The
effects of the governing physical parameters like chemical
reaction, thermal radiation, magnetic field parameter, vortex
viscosity parameter, suction parameter on the velocity,
temperature and concentration fields are discussed in terms of
graphs and tables. The results reveal that, the concentration
profile decreases as the value of chemical reaction parameter
increases, while an opposite trend is observed for linear
velocity profile. It is also observed that both the linear
velocity and temperature profile is in increasing trend due to
rise in the values of radiation absorption parameter. A
comparative analysis ensures that the skin frictional effect is
less in micropolar fluid than the corresponding Newtonian
fluid.
Keywords: MHD Micropolar fluid, thermal radiation,
radiation absorption, chemical reaction, heat generation.
INTRODUCTION
Micropolar fluids constitute an important branch of the
micromorphic fluid theory. Micropolar fluids are fluids with
microstructure belonging to a class of fluids non-symmetrical
stress tensor. In micropolar fluids, rigid particles in a small
volume element can rotate about the centroid of the volume
element. The micro polar fluids include colloidal fluids ferro
liquids, polymers with suspensions animal blood and synovial
fluid which consists of a long chain of polymers that flows in
the cartilage of the matching bones of animal joints. The
concept of micropolar fluid was first developed by Eringen
[6]. In the works of Eringen [7] and Lukaszewicz [14] many
interesting aspects of micropolar fluid theory are found.
Qasim et al. [19] studied the effect of heat transfer in a
micropolar fluid over a stretching sheet with Newtonian
heating. Sengupta and Deb [24] recently studied free
convection heat and mass transfer flow of micropolar fluid in
porous media with fluctuating wall temperature.
The study of magnetohydrodynamics (MHD) has important
applications found in metrology, planetary magnetospheres,
solar physics and in motion of the earth’s core. MHD flow
may be used to find solution of problems such as cooling of
nuclear reactors by liquid sodium and induction flow meter,
which depends on the potential difference in the fluid in the
direction perpendicular to the motion and to the magnetic
field. Ganesan and Palani [8] applied finite difference
technique on unsteady natural convection MHD flow past an
inclined plate with variable surface heat and mass flux. Kim
[12] studied heat and mass transfer effect in MHD micropolar
flow over a vertical moving porous plate in a porous medium.
Ahmed et al. [2] analyzed the MHD free convection mass
transfer flow past an oscillating plate embedded in a porous
medium with Soret effect. Sengupta [26] conducted modeling
with applications on heat and mass transfer phenomena in
MHD flow. Yadav et al. [31] made numerical analysis of
MHD flow of viscous fluid between parallel porous bounding
walls.
In recent period, the importance of radiative transfer in
industrial and technological field have attracted the
attention of many researchers in view of its applications in
developments of hypersonic flights, missile re-entry rocket
combustion chambers, gas cooled nuclear reactors and power
plants for inter planetary flight. The significance of radiative
heat transfer is found especially in electronics equipment and
many processes in industry, which occur at very high
temperatures. The effect f radiation on unsteady free
convection flow bounded by an oscillating plate with variable
wall temperature were examined by Pathak et al. [17]. Hayat
and Qasim [10] considered the effect of thermal radiation on
unsteady MHD flow of a micropolar fluid with heat and mass
transfer. Oahimire and Olajuwon [15] studied the effects of
radiation absorption and thermo-diffusion on MHD heat and
mass transfer flow of a micro-polar fluid in the presence of a
heat source. Sengupta [22] carried out study on free
convective chemically absorption fluid Past an impulsively
accelerated plate with thermal radiation variable wall
temperature and concentrations. Gul et al [9] studied the
effect of thermal radiation on heat transmission in the liquid
flim flow of micropolar fluid in a porous medium over a
stretching sheet.
In many chemical engineering processes, chemical reactions
take place between a foreign mass and the working fluid