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Ist Doctoral committee MeetingPresentation of Research Proposal
byN.Siva Kumar
Ph.D., Scholar (External Part Time)
Research SupervisorDr. B. RUSHIKUMAR
Fluid Dynamics Division, SAS, VIT University
Date: 26/04/2013 Venue: TT513
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Title Of The Research Work
Scope and Objective
Introduction - Literature survey
Method of Solutions - Methodology
Plan of Work
References
Title of the Proposed Research Work
FLOW IN POROUS MEDIA
Studies On Heat and Mass Transfer in Magneto Hydrodynamics Flows
The study of Heat transfer addresses the transport of energy
due to conduction, convection and radiation in almost all areas
of science and engineering.
Mass transfer specifically refers to the relative motion of
species in a mixture due to concentration gradients. In many
industrial and scientific applications, heat transfer processes occur
simultaneously with mass transfer processes.
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Scope and Objective
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Many processes and phenomena in science,
engineering and technology involve motion of electrically
conducting fluids in the presence of a magnetic field. MHD
flows occur commonly in astrophysical, geophysical, and
industrial environments and also have engineering applications
like MHD power generator, MHD pumps, MHD lubrication and
propulsion. The unique feature of this work is concerned with
finding numerical solutions for MHD flow in a variety of flow
domains and in incompressible electrically conducting fluids.
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Objective
Hence the main objective of the present thesis work is to
solve the problems related to Heat and Mass transfer in MHD flows
with different flow geometries embedded in porous medium, using
advanced Mathematical tools and also using the MATLAB software.
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Introduction - Literature survey
In general, the governing fluid flow equations are
in the form of PDEs.In this connection, the Control of heat and mass
transfer processes by means of external force effects is one of the
most important problems in modern applied physics. We are
interested to the study of the magnetic field effect as it bears on
transfer phenomena: heat and mass transfer. Simultaneous heat and
mass transfer from different geometries embedded in porous medium
has many Engineering and Geophysical applications such as cooling
of nuclear reactors and underground energy transport.
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The developments in MHD are the natural phenomena of an
important and relatively recent shift in the properties of
liberalization, globalization and industrialization in India. During the
latter half of twentieth century, MHD has been simulated by
questions arising in practical problems. During the last five decades,
MHD is extensively diversified for overall development. The main
motivation for such developments is the greater importance that has
been given to self sufficiency in energy sector and industrial
development. The acute shortage of energy the depletion of fossil
fuels and the severity of ecology problems that are being faced in
the country provided extensive scope for research in this area.
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Literature survey A.S.Idowu,M.S.Dada and A.Jimoh(2013) has studied for Dissipative Fluid
Flow Past A moving Vertical Porous plate with Variable Suction.
Arman Hasanpour,Mojtaba Parvizi Omran and Hamid Reza
Ashorynejad(2013) has studied Over the Movable Permeable Plumb surface.
K. Sarada & B. Shanker (2013) has investigated in Free Convection Flow
Over an Infinite Vertical Porous Plate with Heat Absorption.
S. Renuka, *N. Kishan and J. Anand Rao (2009) has studied in Convective
Mass Transfer Flow Past an Infinite,Vertical Porous Plate with Variable Suction
and Soret Effect
G. Sreedhar Sarma, D. Sreenivasu, K. Govardhan, K. Ramakrishna Prasad
(2013) has studied and how to solve numerically vertical surfaces in porous
media considering Soret and Dufour effects
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Mohamed Y. Abou-zeid (2009) has analysed the Flow of Carreau Fluid with
Diffusion and Chemical Reaction through a Non Darcy Porous Medium
K. Sarada & B. Shanker (2013) has investigated in Free Convection Flow Over
an Infinite Vertical Porous Plate with Heat Absorption
S. Renuka, *N. Kishan and J. Anand Rao (2009) has studied in Convective Mass
Transfer Flow Past an Infinite,Vertical Porous Plate with Variable Suction and
Soret Effect
G. Sreedhar Sarma, D. Sreenivasu, K. Govardhan, K. Ramakrishna Prasad (2013)
has studied and how to solve numerically vertical surfaces in porous media
considering Soret and Dufour effects
Mohamed Y. Abou-zeid (2009) has analysed the Flow of Carreau Fluid with
Diffusion and Chemical Reaction through a Non Darcy Porous Medium
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Method of Solutions - Methodology
In this analysis, the mathematical modeling involves highly
non-linear coupled partial differential equations which govern the physical system
applications. In this thesis, we solve these non-linear partial differential equations
first with similarity transformation. By this treatment, the non-linear coupled
partial differential equations converted into non-linear coupled ordinary
differential equations.
There are numerous methods are available in the literature to find the
solution for these non-linear coupled ordinary differential equations. Here, we may
apply an analytical method or numerical techniques to obtain solution for given
physical system.
An analytical solution is obtained by using double regular
perturbation technique to solve the non-linear ordinary differential
equations using the non-dimensional parameter which are involved
in the physical system.
We may also apply to solve these coupled non-
linear ordinary differential equations using finite difference or
finite element method or Shooting technique which uses Range-
Kutta or Range-Kutta-Gill or Range-Kutta-Fehlberg with Newton-
Raphson method. Computations are carried out using Matlab or
Maple or Mathematica or C software.
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Plan Of Work
In this work we want to study the heat and mass transfer in
MHD flows. Some of these problems involve thermal energy and
concentration of species like storage system thermal insulation,
solar collector, geothermal engineering, pollutant dispersal in
aquifer and the storage of nuclear wastes in deep geological
repositories and so on. Using suitable boundary conditions to
determine the nature of fluid flow, heat and mass transfer rate in a
variety fluids and fluid saturated porous materials.
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Our work covers many aspects of fluid flow like electrically
conducting fluid flow and flow through and past a porous media. This
process involves
Heat transfer (conduction, convection, radiation)
Mass transfer (diffusion, evaporation, condensation,
absorption)
Fluid dynamics (single-phase and multiphase flow, flow in
porous media)
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In this connection, the problems proposed to study
here have been considered with a view to possible applications,
particularly in Biology and Medicine.
Some of the problems we are interested to study are
Thermodynamics Analysis of Transfer Phenomena in
Electric and Magnetic Fields
Heat Transfer in a Laminar MHD-Flow
Free MHD Convection
Convective Mass Transfer in Magnetic Field
Heat and Mass Transfer in Magnetizable Fluids
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Previous work done:
A course work completed on Research Methodology in
sciences from july-2013 to december-2013.
Presented a paper on MHD transient free convection and
chemically reactive flow past a porous vertical plate with
radiation and temperature gradient dependent heat source in
slip flow regime in National conference at SV
University ,Tirupati 29-01-2014.
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References
B. Rushi kumar and R. Sivaraj, "MHD viscoelastic fluid non-Darcy flow over a
vertical cone and a plate", International Communications in Heat and Mass
Transfer 40(2013) pp 1-6
Anjali Devi, S. P. and M. Kayalvizhi, 2010. Analytical solution of MHD flow
with radiation over a stretching sheet embedded in a porous medium, Int. J. of
Appl. Math and Mech., Vol. 6, No. 7, pp. 82 – 106.
Hossain, M.A. and Begum, R.A., The effects of mass transfer on the unsteady
free-convection flow past an accelerated vertical porous plate with variable
suction, strophys. Space Sci., 145, 115 (1985).
Nield, D.A., and Bejan, A., (1998) Convection in porous media, 2 nd edition,
Springer-Verlag,Berlin.
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D.A.Nield and A.Bejan, Convection in PorousMedia. NewYork, Springer-
verlag.2006.
InghamD.,popI, Transport phenamina in porous media, I pergaman,
oxford,1998.
Ingam D.PopI, Transport phenomina in porous mediaII,pergman ,oxford,2002.
Singh A.K. The MHD Free-Convection and Mass Transfer Flow with Hall
Current, Viscous Dissipation, Joule
Heating and Thermal Diffusion is Studied. – Indian Journal of Pure and
Applied Physics, 2003, Vol.41, Pp.24-35.
Soundalgekar, V.M. and Ganesan, P., Transient free convective flow past a
semi-infinite vertical plate with mass transfer, Reg. J. Energy Heat and Mass
Transfer, 2, No.1, 83 (1980).
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Srihari, K., Anand Rao, J. and Kishan, N. MHD free convection flow of
anincompressible viscous dissipative fluid in an infinite vertical oscillating plate
with constant heat flux, Jl. Energy, Heat and Mass Transfer, vol 28, pp. 19-
28,2006.
V.Srihari babu and G.V.Ramana reddy, Adv.App.science Research, 2011,
(4):138-146
Satya sagar Saxena and G.K.Dubey, Adv.App.science Research, 2011, (5):115-
129.
Satya sagar Saxena and G.K.Dubey, Adv.App.science Research,
2011,2(4):259-278. Carnahan, H., Luther, H. A., and Wilkes, J.O., (1969).Applied Numerical
Methoda, John Willey, newYork.
Nield, D. A. and Bejan, A., (1998). Convection in Porous media, Second edition,
Springer, New York.
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