In this paper, the unsteady MHD free convective flow through porous medium sandwiched between electrically conducting viscous-incompressible fluids in a horizontal channel with heat and mass transfer, with the assumptions that the upper and lower channel are non-porous (clear regions) and the middle channel as porous respectively have been studied. The governing equations of the flow were transformed to ordinary differential equation by a regular perturbation method and the expression for the velocity, temperature, and concentration for the flow were obtained. It is observed that the fluid velocity decreases with an increase in Prandtl number, Radiation parameter, Hartmann number and Schmidt number. Some of these governing parameters had little effect on the velocity profile while others had significant effect on this velocity profile. The same was seen on the temperature profile and concentration profile. Finally the governing parameters had effects on the flow and this study does aid in the practical usage of such flow or when confronted with such a flow.
Published in | International Journal of Systems Science and Applied Mathematics (Volume 1, Issue 4) |
DOI | 10.11648/j.ijssam.20160104.20 |
Page(s) | 91-108 |
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), 2017. Published by Science Publishing Group |
MHD, Free Convective, Porous Medium, Unsteady Flow, Heat and Mass Transfer
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APA Style
Joseph K. Moses, Idowu A. S, Lawal A. B, Darius P. B. Yusuf, Onwubuoya C. (2017). Unsteady MHD Free Convective Three Phase Flow Through Porous Medium Sandwiched Between Viscous Fluids. International Journal of Systems Science and Applied Mathematics, 1(4), 91-108. https://doi.org/10.11648/j.ijssam.20160104.20
ACS Style
Joseph K. Moses; Idowu A. S; Lawal A. B; Darius P. B. Yusuf; Onwubuoya C. Unsteady MHD Free Convective Three Phase Flow Through Porous Medium Sandwiched Between Viscous Fluids. Int. J. Syst. Sci. Appl. Math. 2017, 1(4), 91-108. doi: 10.11648/j.ijssam.20160104.20
@article{10.11648/j.ijssam.20160104.20, author = {Joseph K. Moses and Idowu A. S and Lawal A. B and Darius P. B. Yusuf and Onwubuoya C.}, title = {Unsteady MHD Free Convective Three Phase Flow Through Porous Medium Sandwiched Between Viscous Fluids}, journal = {International Journal of Systems Science and Applied Mathematics}, volume = {1}, number = {4}, pages = {91-108}, doi = {10.11648/j.ijssam.20160104.20}, url = {https://doi.org/10.11648/j.ijssam.20160104.20}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijssam.20160104.20}, abstract = {In this paper, the unsteady MHD free convective flow through porous medium sandwiched between electrically conducting viscous-incompressible fluids in a horizontal channel with heat and mass transfer, with the assumptions that the upper and lower channel are non-porous (clear regions) and the middle channel as porous respectively have been studied. The governing equations of the flow were transformed to ordinary differential equation by a regular perturbation method and the expression for the velocity, temperature, and concentration for the flow were obtained. It is observed that the fluid velocity decreases with an increase in Prandtl number, Radiation parameter, Hartmann number and Schmidt number. Some of these governing parameters had little effect on the velocity profile while others had significant effect on this velocity profile. The same was seen on the temperature profile and concentration profile. Finally the governing parameters had effects on the flow and this study does aid in the practical usage of such flow or when confronted with such a flow.}, year = {2017} }
TY - JOUR T1 - Unsteady MHD Free Convective Three Phase Flow Through Porous Medium Sandwiched Between Viscous Fluids AU - Joseph K. Moses AU - Idowu A. S AU - Lawal A. B AU - Darius P. B. Yusuf AU - Onwubuoya C. Y1 - 2017/01/21 PY - 2017 N1 - https://doi.org/10.11648/j.ijssam.20160104.20 DO - 10.11648/j.ijssam.20160104.20 T2 - International Journal of Systems Science and Applied Mathematics JF - International Journal of Systems Science and Applied Mathematics JO - International Journal of Systems Science and Applied Mathematics SP - 91 EP - 108 PB - Science Publishing Group SN - 2575-5803 UR - https://doi.org/10.11648/j.ijssam.20160104.20 AB - In this paper, the unsteady MHD free convective flow through porous medium sandwiched between electrically conducting viscous-incompressible fluids in a horizontal channel with heat and mass transfer, with the assumptions that the upper and lower channel are non-porous (clear regions) and the middle channel as porous respectively have been studied. The governing equations of the flow were transformed to ordinary differential equation by a regular perturbation method and the expression for the velocity, temperature, and concentration for the flow were obtained. It is observed that the fluid velocity decreases with an increase in Prandtl number, Radiation parameter, Hartmann number and Schmidt number. Some of these governing parameters had little effect on the velocity profile while others had significant effect on this velocity profile. The same was seen on the temperature profile and concentration profile. Finally the governing parameters had effects on the flow and this study does aid in the practical usage of such flow or when confronted with such a flow. VL - 1 IS - 4 ER -