The unsteady MHD free convection and mass transfer boundary layer flow past a semi-infinite vertical porous plate immersed in a porous medium with heat source is studied. The plate moves with a uniform velocity in the direction of the fluid flow while the free stream velocity is considered to follow the exponentially increasing small perturbation law. The governing equations are solved analytical by using perturbation technique depending on the physical parameters including the Radiation parameter (R), the Magnetic parameter (M), the Prandtl number (Pr), the Grashof number for heat transfer (Gr), the Modified Grashof number for mass transfer (Gc), the Schmidt number (Sc), the soret number (S0), the permeability parameter (K) and the heat source (Q). The influence of these parameters on velocity field, temperature field, concentration field, skin friction, Nusselt number and Sherwood number at the plate are discussed with graphically.
| Published in | American Journal of Applied Mathematics (Volume 3, Issue 2) |
| DOI | 10.11648/j.ajam.20150302.16 |
| Page(s) | 64-74 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2024. Published by Science Publishing Group |
MHD, Heat and Mass Transfer, Porous Plate, Perturbation Law, Heat Source, Soret Number
| [1] | A. K. Singh, “MHD free convective flow past an accelerated vertical porous plate by finite difference method.” Astrophys. Space Sci. 94, 395-400, 1983. |
| [2] | A. Raptis, G.T Zivnidis, N. Kafousis, “Free convection and mass transfer flow through porous medium bounded by an infinite vertical limiting surface with constant suction.” Letters in heat and mass transfer, 8, 5,417-424, 1981. |
| [3] | M. D. Abdus-sattar and M. D. Hamid Kalim, “Unsteady free convection interaction with thermal radiation in a boundary layer flow past a vertical porous plate.” J. Math. Phys. Sci. 30, pp. 25-37, 1996. |
| [4] | S.S. Das, S.K. Sahoo and G.C. Dash, “Numerical solution of mass transfer effects on unsteady flow past an accelerated vertical porous plate with suction.” Bull. Malays. Math. Sci. Soc., 2, 29, (1), 33–42, 2006. |
| [5] | S. S. Das, A. Satapathy, J. K. Das, J. P. Panda, “Mass transfer effects on MHD flow and heat transfer past a vertical porous plate through porous medium under oscillatory suction and heat source.” International journal of heat and mass transfer, volume 52, Issues 25–26, December 2009, Pages 5962–5969. |
| [6] | B. K. Jah, “Applied magnetic field on transient convective flow in a vertical channel.”J. Pure Appl. Math. 29, 441-445, 1998. |
| [7] | Y. J. Kim, “Unsteady MHD convective heat transfer past a semi-infinite vertical porous moving plate with variable suction.” Int. J. Engg.Sci.38, 833-445, 2000. |
| [8] | V. M. Soundalgekar, B. S. Jaisawal, A. G. Uplekar and H. S. Takhar, “The transient free convection flow of a viscous dissipative fluid past a semi-infinite vertical plate.” J. Appl. Mech. Engng.4, 203-218, 1999. |
| [9] | R. A. Mohameda, Ibrahim A. Abbasb, S.M. Abo-Dahaba, “Finite element analysis of hydromagnetic flow and heat transfer of a heat generation fluid over a surface embedded in a non-darcian porous medium in the presence of chemical reaction.” Science and Numerical Simulation. 14, 4, 1385-1395, 2009. |
| [10] | M Bhavana, D Chenna Kesavaish “The Soret Effect on free convective unsteady MHD Flow over a vertical plate with Heat Source.” Int. Journal of Innovative Research in science and technology, Vol. 2, May 2013. |
| [11] | M. A Abd EL–Naby, E M E. El–Barbary and N.Y. Abdelazem “Finite difference solution of radiation effects on MHD unsteady free-convection flow on vertical porous plate”, Appl. Math. Comput.151 (2), pp. 327 – 346, 2004. |
| [12] | M.M Alam,. M. S Rahman, “Dufour and soret effects on mixed convection flow past a vertical porous flat plate with variable suction”, Nonlinear analysis: modeling and control, Vol. 11, No. 1, pp. 3-12, 2006. |
| [13] | O Beg Anwa., A.Y. Bakier and V. R. Prasad, “Numerical study of free convection magneto hydrodynamic heat and mass transfer from a stretching surface to a saturated porous medium with Soret and Dufour effects”, Computational Material Science, 46, pp. 57-65, 2009. |
| [14] | F. M Hady, R. A. Mohamed and A. Mahdy A “MHD free convection flow along a vertical wavy surface with heat generation or absorption effect”, Int. Comm. Heat Mass Transfer, 33, pp. 1253– 1263, 2006. |
| [15] | O. D Makinde, “Free-convection flow with thermal radiation and mass transfer past a moving vertical porous plate”, Int. Comm. Heat Mass Transfer, 32, pp. 1411– 1419, 2005. |
| [16] | I. U. Mbeledogu, A. R. C. Amakiri and A. Ogulu, “Unsteady MHD free convection flow of a compressible fluid past a moving vertical plate in the presence of radioactive heat transfer”, Int. J. of Heat and Mass Transfer, 50, pp. 1668– 1674, 2007. |
| [17] | S. F. Ahmmed, S. Mondal and A. Ray, “Numerical studies on MHD free convection and mass transfer flow past a vertical flat plate.” IOSR Journal of Engineering (IOSRJEN). ISSN 2250-3021, vol. 3, Issue 5, pp 41-47, May. 2013. |
APA Style
S. F. Ahmmed, M. K. Das, L. E. Ali. (2015). Analytical Study on Unsteady MHD Free Convection and Mass Transfer Flow Past a Vertical Porous Plate. American Journal of Applied Mathematics, 3(2), 64-74. https://doi.org/10.11648/j.ajam.20150302.16
ACS Style
S. F. Ahmmed; M. K. Das; L. E. Ali. Analytical Study on Unsteady MHD Free Convection and Mass Transfer Flow Past a Vertical Porous Plate. Am. J. Appl. Math. 2015, 3(2), 64-74. doi: 10.11648/j.ajam.20150302.16
AMA Style
S. F. Ahmmed, M. K. Das, L. E. Ali. Analytical Study on Unsteady MHD Free Convection and Mass Transfer Flow Past a Vertical Porous Plate. Am J Appl Math. 2015;3(2):64-74. doi: 10.11648/j.ajam.20150302.16
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Download@article{10.11648/j.ajam.20150302.16,
author = {S. F. Ahmmed and M. K. Das and L. E. Ali},
title = {Analytical Study on Unsteady MHD Free Convection and Mass Transfer Flow Past a Vertical Porous Plate},
journal = {American Journal of Applied Mathematics},
volume = {3},
number = {2},
pages = {64-74},
doi = {10.11648/j.ajam.20150302.16},
url = {https://doi.org/10.11648/j.ajam.20150302.16},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20150302.16},
abstract = {The unsteady MHD free convection and mass transfer boundary layer flow past a semi-infinite vertical porous plate immersed in a porous medium with heat source is studied. The plate moves with a uniform velocity in the direction of the fluid flow while the free stream velocity is considered to follow the exponentially increasing small perturbation law. The governing equations are solved analytical by using perturbation technique depending on the physical parameters including the Radiation parameter (R), the Magnetic parameter (M), the Prandtl number (Pr), the Grashof number for heat transfer (Gr), the Modified Grashof number for mass transfer (Gc), the Schmidt number (Sc), the soret number (S0), the permeability parameter (K) and the heat source (Q). The influence of these parameters on velocity field, temperature field, concentration field, skin friction, Nusselt number and Sherwood number at the plate are discussed with graphically.},
year = {2015}
}
TY - JOUR T1 - Analytical Study on Unsteady MHD Free Convection and Mass Transfer Flow Past a Vertical Porous Plate AU - S. F. Ahmmed AU - M. K. Das AU - L. E. Ali Y1 - 2015/03/30 PY - 2015 N1 - https://doi.org/10.11648/j.ajam.20150302.16 DO - 10.11648/j.ajam.20150302.16 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 64 EP - 74 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.20150302.16 AB - The unsteady MHD free convection and mass transfer boundary layer flow past a semi-infinite vertical porous plate immersed in a porous medium with heat source is studied. The plate moves with a uniform velocity in the direction of the fluid flow while the free stream velocity is considered to follow the exponentially increasing small perturbation law. The governing equations are solved analytical by using perturbation technique depending on the physical parameters including the Radiation parameter (R), the Magnetic parameter (M), the Prandtl number (Pr), the Grashof number for heat transfer (Gr), the Modified Grashof number for mass transfer (Gc), the Schmidt number (Sc), the soret number (S0), the permeability parameter (K) and the heat source (Q). The influence of these parameters on velocity field, temperature field, concentration field, skin friction, Nusselt number and Sherwood number at the plate are discussed with graphically. VL - 3 IS - 2 ER -
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