Unsteady MHD chemically reacting fluid through a porous medium bounded by a non-isothermal impulsively-started vertical plate: a numerical technique

Authors

  • Sahin Ahmed Goalpara College, Gauhati University
  • Karabi Kalita Department of Mathematics, Gauhati University, Guwahati 781014, Assam, India

DOI:

https://doi.org/10.3329/jname.v11i1.10269

Keywords:

Magnetohydrodynamics (MHD), mass transfer, Crank-Nicolson method, porous media, aero-thermal analysis.

Abstract

A numerical modeling on MHD transient mass transfer by free convection flow of a viscous, incompressible, electrically-conducting, and Newtonian fluid through a porous medium bounded by an impulsively-started semi-infinite vertical plate in the presence of thermal radiation and chemical reaction of first order has been analyzed. The fluid is assumed optically thin gray gas, absorbing-emitting radiation, but a non-scattering medium. The dimensionless governing coupled, non-linear boundary layer partial differential equations are solved by an efficient, accurate, extensively validated and unconditionally stable finite difference scheme of the Crank-Nicolson type. The effects of the conduction-radiation parameter , chemical reaction and the porosity (K) on the velocity, temperature and concentration fields have been studied. The local skin friction, Nusselt number and the Sherwood number are also presented graphically and analyzed. Increasing magnetic parameter serves to decelerate the flow but increased temperatures and concentration values. It is found that the velocity is increased considerably with a rise in the porosity parameter (K) whereas the temperature and concentration are found to be reduced with increasing porosity (K). An increase in the porosity parameter (K) is found to escalate the local skin friction , Nusselt number and the Sherwood number . Possible applications of the present study include laminar aerodynamics, materials processing and thermo-fluid dynamics.

DOI: http://dx.doi.org/10.3329/jname.v11i1.10269

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Author Biography

Sahin Ahmed, Goalpara College, Gauhati University

Associate Professor, Department of Mathematical Sciences, Goalpara College.

References

Nield, D. A., and Bejan, A. (1999): Convection in Porous Media, Springer, New York.

http://dx.doi.org/10.1007/978-1-4757-3033-3

Ingham, D. B., and Pop, I. (1998): Transport Phenomena in Porous Media, Pergamon, Oxford. England, W. G., and Emery, A. F. (1969): Thermal radiation effects on the laminar free convection boundary layer of an absorbing gas, J. of Heat Transfer, Vol. 91, pp. 37-44.

Raptis, A., and Perdikis, C. (2003): Thermal radiation of an optically thin gray gas, Int. J. Applied Mechanical Engg., Vol. 8, No. 1, pp. 131134.

Raptis, A. (1998): Radiation and free convection flow through a porous medium, International Communications in Heat and Mass Transfer, Vol. 25, No. 2, pp. 289-295.http://dx.doi.org/10.1016/S0735-1933(98)00016-5

Hussain, Md. A., and Pop, I. (2001): Radiation effects on free convection over a vertical flat plate embedded in a porous medium with high porosity, International Journal of Thermal Science, Vol. 40, No. 2, pp. 153-163.

Jaiswal, B. S., and Soundalgekar, V. M. (2001): Oscillating plate temperature effects on a flow past an infinite vertical porous late with constant suction and embedded in a porous medium, Heat and Mass Transfer, Vol. 37, pp. 125-131.http://dx.doi.org/10.1007/s002310000180

Bakier, A. Y. (2001): Thermal radiation effect of mixed convection from vertical surfaces in saturated porous media. International Communications of Heat and Mass Transfer, 28 (1), 119-126.http://dx.doi.org/10.1016/S0735-1933(01)00219-6

Raptis, A., and Perdikis, C. (2004): Unsteady flow through a highly porous medium in the presence of radiation, Transport in Porous Media, Vol. 57, No. 2, pp. 171-179.http://dx.doi.org/10.1023/B:TIPM.0000038262.65594.e8

Zueco, J. (2008): Unsteady free convection-radiation flow over a vertical wall embedded in a porous medium, Communications in Numerical Methods in Engineering, Vol. 24, No. 11, pp. 1093-1105.http://dx.doi.org/10.1002/cnm.1016

Mahmoud, A. A., and Chamkha, A. J. (2010): Non-similar solutions for heat and mass transfer from a surface embedded in a porous medium for two prescribed thermal and solutal boundary conditions, International Journal of Chemical Reactor Engineering, Vol. 8, pp. 1-24.

Sahin, A. (2008): Transient three dimensional flow through a porous medium with transverse permeability oscillating with time, Emirate Journal for Engineering research, Vol.13, No. 3, pp. 11-17.

Sahin, A. (2010): Free convective transient three-dimensional flow through a porous medium oscillating with time in presence of periodic suction velocity, International Journal of Applied Mathematics and Mechanics, Vol. 6, No. 11, pp. 1-16.

Chamkha, A. J. (2003): MHD flow of a uniformly stretched vertical permeable surface in the presence of heat generation/absorption and a chemical reaction, Int. Communication in Heat and Mass Transfer, Vol. 30, No. 3, pp. 413-422.http://dx.doi.org/10.1016/S0735-1933(03)00059-9

Muthucumaraswamy, R., and Kulaivel, T. (2003): Chemical reaction effects on moving infinite vertical plate with uniform heat flux and variable mass diffusion, Forschungim-Ingenieurwesen, Vo. 68, pp. 101-104.http://dx.doi.org/10.1007/s10010-003-0112-9

Sahin, A., and Chamkha, A. J. (2010): Effects of chemical reaction, heat and mass transfer and radiation on the MHD flow along a vertical porous wall in the presence of induced magnetic field, Int. Journal of Industrial Mathematics, Vol. 2, No. 4, pp. 245-261.

Sahin, A. (2009): The study of heat and mass transfer on free convective three-dimensional unsteady flows over a porous vertical plate, Journal of Energy, Heat and Mass Transfer, Vol. 31, pp. 89-110.

Sahin, A., and Liu, I. C. (2010): Mixed convective three-dimensional heat and mass transfer flow with transversely periodic suction velocity, Int. J. Applied Mathematics and Mechanics, Vol. 6, No. 1, pp. 58-73.

Yang, L. K. (1992): Forced convection in a vertical pipe with combined buoyancy and radiation effects, International Communications in Heat and Mass Transfer, Vol. 19, No. 2, pp. 249-262.http://dx.doi.org/10.1016/0735-1933(92)90036-H

Makinde, O. D. (2005): Free convection flow with thermal radiation and mass transfer past a moving vertical porous plate, International Communications in Heat and Mass Transfer, Vol. 32, No. 10, pp. 1411-1419.http://dx.doi.org/10.1016/j.icheatmasstransfer.2005.07.005

Loganathan, P., Kulandaivel, T., and Muthucumaraswamy, R. (2008): First order chemical reaction on moving semi-infinite vertical plate in the presence of optically thin gray gas, Int. J. of Appl. Math. And Mech., Vol. 4, No. 5, pp. 26-41.

Carnahan, B., Luther, H. A., and Wilkes, J. O. (1969): Applied Numerical Methods, John Wily and Sons, New York.

Bég, O. A., Takhar, H. S., Chamkha, A. J., Filip, D., and Pop, I. (2003): Mixed radiation convection flow of an optically dense viscous fluid along a vertical surface in a non-Darcy geological porous system, Int. J. Applied Mechanics and Engineering, Vol. 8, No. 3, pp. 483-496.

Chamkha, A. J., Takhar, H. S., and Bég, O. A. (2004): Radiative free convective non-Newtonian fluid flow past a wedge embedded in a porous medium, Int. J. Fluid Mechanics Research, Vol. 31, No. 2, pp. 101-115. DOI: 10.1615/InterJFluidMechRes.v31.i2.10. http://dx.doi.org/10.1615/InterJFluidMechRes.v31.i2.10

Sutton, G. W., and Sherman, A. S. (1965): Engineering Magnetohydrodynamics, MacGraw-Hill, New York.

Pai, S.I. (1962): Magnetogasdynamics and Plasma Dynamics, Springer, Berlin.http://dx.doi.org/10.1007/978-3-7091-8083-9

Hughes, W. F., and Young, F. J. (1966): The Electromagnetodynamics of Fluids, John Wiley, New York.

Sahin, A., Batin, A., and Chamkha, A. J. (2014): Finite difference approach in porous media transport modeling for magnetohydrodynamic unsteady flow over a vertical plate: Darcian model, Int. J. of Numerical Methods for Heat and Fluid Flow, Vol. 24 No. 5, pp. 1204-1223.http://dx.doi.org/10.1108/HFF-01-2013-0008

Sahin, A., Zueco, J., and López-Ochoa, L.M., (2014): Numerical Modeling of MHD Convective Heat and Mass Transfer in Presence of First-Order Chemical Reaction and Thermal Radiation, Chemical Engineering Communications, Vol. 201, pp. 419436.http://dx.doi.org/10.1080/00986445.2013.775645

Zueco, J., Sahin, A., and López-Ochoa, L.M., (2014): Magneto-micropolar flow over a stretching surface embedded in a Darcian porous medium, Arabian Journal for Science and Engineering. http://dx.doi.org/10.1007/s13369-014-1175-7

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Published

23.06.2014

How to Cite

Ahmed, S., & Kalita, K. (2014). Unsteady MHD chemically reacting fluid through a porous medium bounded by a non-isothermal impulsively-started vertical plate: a numerical technique. Journal of Naval Architecture and Marine Engineering, 11(1), 39–54. https://doi.org/10.3329/jname.v11i1.10269

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