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.
| DOI | 10.11648/j.ijssam.20160104.20 |
| Published in | International Journal of Systems Science and Applied Mathematics (Volume 1, Issue 4, November 2016) |
| 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), 2024. Published by Science Publishing Group |
MHD, Free Convective, Porous Medium, Unsteady Flow, Heat and Mass Transfer
| [1] | Navin Kumar, Tann Jain and Sandeep Gupta, Unsteady MHD free convective flow through a porous medium sandwiched between viscous fluids. International Journal of Energy and Technology, 4 (27), 1–11, 2012. |
| [2] | J. C. Umavathi, I.C. Liu, J. Prathap–Kumar and D. Shaik Meera, Unsteady flow and heat transfer of porous media sandwiched between viscous fluids. Applied Mathematics and Mechanics, 31 (12), 1497–1516, 2010. |
| [3] | N. Kumar, S. Gupta and T. Jain, Unsteady MHD and heat transfer of two viscous immiscible fluids through a porous medium in a horizontal channel. J. Damghan University of Basics Sciences, 2 (1), 57–61, 2009. |
| [4] | G. Parabhakararao, Unsteady free convection MHD flow of an incompressible electrically conduction viscous fluid through porous medium between two vertical plates. International Journal of Engineering Research and Application, 4 (11), 38–44, 2015. |
| [5] | K. M. Joseph, A. Peter, P.E Asie and S. Usman, The unsteady MHD convective two immiscible fluid flows in a horizontal channel with heat and mass transfer. International Journal of Mathematics and Computer research, 3 (5), 954–972, 2015. |
| [6] | A. Mateen, Magnetohydrodynic flow and heat transfer of two immiscible fluids through a horizontal channel. International Journal of Current Engineering and Technology, 3 (5), 1952–1956, 2013. |
| [7] | A. Mateen, Transient Magnetohydrodynamic flow of two immiscible fluids through a chorizontal channel. International Journal of Engineering Research, 3 (1), 13–17, 2014. |
| [8] | M. S. Dada, C. Onwubuoya and K.M. Joseph, The Unsteady Radiative and MHD Free Convective Two Immiscible Fluid Flows through a Horizontal Channel. Nig. J. Pure and Appl. Sci. 27, 2562–2577, 2014. |
| [9] | N. Kumar and T. Jain, Influence of Mass Transfer and Thermal Radiation on Unsteady Free Convective Flow Through Porous Media Sandwiched Between Viscous Fluids. International Journal of Energy and Technology, 5 (4), 1–15, 2013. |
| [10] | Choudhury and Kumar Das S,Visco-elastic MHD free convective flow through porous media in presence of radiation and chemical reaction with heat and mass transfer. Journal of Applied Fluid Mechanics, 7 (4), 603–609, 2014. |
| [11] | A. Veerasuneela Rani, V. Sugunamma and N. Sandeep, Hall Current effects on Convective Heat and Mass Transfer Flow of Viscous Fluid in a Vertical Wavy Channel. International Journal of Emerging trends in Engineering and Development 4 (2), 252–278, 2012. |
| [12] | V. Sugunamma, M. Snehalatha and N. Sandeep, Run up Flow of a Rivilin–Ericksen Fluid through a Porous medium in a Channel. International Journal of Mathematical Archive 2 (12), 2625–2639, 2011. |
| [13] | M. Jayachandra Babu and N. Sandeep, Effect of Variable Heat Source/Sink on Chemically reacting 3D Slip Flow caused by a Slendering Stretching Sheet, Int. J. Eng. Research in Africa (Acc), 2016. |
| [14] | C. Sulochana and N. Sandeep, Flow and Heat behavior of MHD Dusty Nanofluid past a Porous Stretching/Shrinking Cylinder at different Temperatures, Journal of Applied Fluid Mechanics, 9 (2), 543–553, 2016. |
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
Share This Article
Twitter
Linked In
Facebook
Copy
Download@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 -
Information
Email: