Effects of Mass Transfer on Unsteady Hydromagnetic Convective Flow Past an Infinite Vertical Rotating Porous Plate with Heat Source

Thomas Mwathi Ngugi; Mathew Ngugi Kinyanjui; David Theuri

doi:doi:10.11648/j.ajam.20160403.11

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Effects of Mass Transfer on Unsteady Hydromagnetic Convective Flow Past an Infinite Vertical Rotating Porous Plate with Heat Source

Thomas Mwathi Ngugi, Mathew Ngugi Kinyanjui, David Theuri

Published in American Journal of Applied Mathematics (Volume 4, Issue 3)

Received: 11 February 2016 Accepted: 23 February 2016 Published: 25 April 2016

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Abstract

The effect of mass transfer on unsteady Hydromagnetic convective flow, of an incompressible electrically conducting fluid, past an infinite vertical rotating porous plate in presence of constant injection and heat source has been investigated. The non-linear partial differential equations governing the flow are solved numerically using the finite differences method. The effect of Hartmann's number, Grashof number for heat transfer, Grashof number for mass transfer, permeability parameter, Schmidt number, Heat source parameter, Prandtl number, Eckert number and rotational parameter on the flow field are presented graphically. A change on the parameters is observed to either increase, decrease or to have no effect on the profiles. The study has some useful information to engineers in the field of oil exploration, geothermal reservoirs, in petroleum and mineral industries, MHD generators, among many other areas.

Published in	American Journal of Applied Mathematics (Volume 4, Issue 3)
DOI	10.11648/j.ajam.20160403.11
Page(s)	114-123
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), 2016. Published by Science Publishing Group

Keywords

Magnetohydrodynamics (MHD), Porous Medium, Mass Transfer, Heat Source, Injection

References

[1]	Das, S., & Mitra, M. (2009). Unsteady mixed convective MHD flow and mass transfer past an accelerated infinite vertical plate with suction. Ind. J. Sci. Tech, 2 (5), 18-22.
[2]	Das, S., A. Satapathy, J., Das, & Panda, J. (2009). Mass transfer effects on MHD flow and heat transfer past a vertical porous plate through a porous medium under oscillatory suction and heat source. International Journal of Heat and Mass Transfer, 52, 5962-5969.
[3]	Das, S., A. Satapathy, J., Das, &Sahoo, S. (2007). Numerical solution of unsteady free convective MHD flow past an accelerated vertical plate with suction and heat flux. J. Ultra Sci. Phys. Sci, 19(1), 105-112.
[4]	Das, S., Sahoo, S., & Dash, G. (2006). Numerical solution of mass transfer effects on unsteady flow past an accelerated vertical porous plate with suction. Bulletin of the Malayssian Mathematical Sciences Society, 29(1), 33-42.
[5]	Das, S., Tripathy, U., & Das, J. (2010). Hydromagnetic convective flow past a vertical porous plate through a porous medium with suction and heat source. International Journal of Energy and Environment, 1(3), 467-478.
[6]	Elbasheshy, E., Yassmin, D., & Dalia, A. (2010). Heat transfer over an unsteady porous stretching surface embedded in a porous medium with variable heat flux in the presence of heat source or sink. African Journal of Mathematics and Computer Science research, 3 (5), 68-73.
[7]	Ferdows, M., Koji, K., & Chien-Hsin, C. (2010). Dufour, soret and viscous dissipation effects on heat and mass transfer in porous media with high porosities. International Journal of Applied Engineering Research, 5 (3), 477-484.
[8]	Kang'ethe, G., Kinyanjui, M. N., & Uppal, S. M. (2012). MHD Flow In Porous Media Over A Stretching Surface In A Rotating System With Heat And Mass Transfer. International Electronic Journal of Pure and Applied Mathematics, 4 (1), 9-32.
[9]	Kinyanjui, M., Chartuvedi, N., & Uppal, S. (1998). MHD Stokes problem for a vertical infinite plate in a dissipative rotating fluid with Hall current. Journal of Magnetohydrodynamic and plasma research, 8 (No 1), pp 15-30.
[10]	Makinde, O., Mango, J., & Theuri, D. (2003). Unsteady free convection flow with suction on an accelerating porous plate. AMSE J. Mod. Meas, B 72 (3), 39-46.
[11]	Naser, S., & Elgazery. (2008). Transient Analysis of Heat and Mass Transfer by Convection in Power-law fluid past a vertical plate immersed in a porous medium. Application and Applied mathematics: An International Journal, 3(2), 267-285.
[12]	Rafael, C. (2005). Flow and heat transfer of a fluid through a porous medium over a stretching surface with internal heat generation/absorption and suction/blowing. Fluid Dynamics Research, 37, 231-245.
[13]	Subhas, A. M., Sujit, K., & Prasad. (2001). Convective heat and mass transfer in a visco-elastic fluid flow through a porous medium over a stretching sheet. International Journal of Numerical Methods for Heat and Fluid Flow, 11 (8), 779-792.
[14]	Tamana, S., Sumon, S. M., & Goutam. (2009). Heat transfer in a porous medium over a stretching surface with internal heat generation and suction or injection in the presence of radiation. Journal of Mechanical Engineering, 40 (1), 22-28.

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APA Style

Thomas Mwathi Ngugi, Mathew Ngugi Kinyanjui, David Theuri. (2016). Effects of Mass Transfer on Unsteady Hydromagnetic Convective Flow Past an Infinite Vertical Rotating Porous Plate with Heat Source. American Journal of Applied Mathematics, 4(3), 114-123. https://doi.org/10.11648/j.ajam.20160403.11

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ACS Style

Thomas Mwathi Ngugi; Mathew Ngugi Kinyanjui; David Theuri. Effects of Mass Transfer on Unsteady Hydromagnetic Convective Flow Past an Infinite Vertical Rotating Porous Plate with Heat Source. Am. J. Appl. Math. 2016, 4(3), 114-123. doi: 10.11648/j.ajam.20160403.11

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AMA Style

Thomas Mwathi Ngugi, Mathew Ngugi Kinyanjui, David Theuri. Effects of Mass Transfer on Unsteady Hydromagnetic Convective Flow Past an Infinite Vertical Rotating Porous Plate with Heat Source. Am J Appl Math. 2016;4(3):114-123. doi: 10.11648/j.ajam.20160403.11

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@article{10.11648/j.ajam.20160403.11,
  author = {Thomas Mwathi Ngugi and Mathew Ngugi Kinyanjui and David Theuri},
  title = {Effects of Mass Transfer on Unsteady Hydromagnetic Convective Flow Past an Infinite Vertical Rotating Porous Plate with Heat Source},
  journal = {American Journal of Applied Mathematics},
  volume = {4},
  number = {3},
  pages = {114-123},
  doi = {10.11648/j.ajam.20160403.11},
  url = {https://doi.org/10.11648/j.ajam.20160403.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20160403.11},
  abstract = {The effect of mass transfer on unsteady Hydromagnetic convective flow, of an incompressible electrically conducting fluid, past an infinite vertical rotating porous plate in presence of constant injection and heat source has been investigated. The non-linear partial differential equations governing the flow are solved numerically using the finite differences method. The effect of Hartmann's number, Grashof number for heat transfer, Grashof number for mass transfer, permeability parameter, Schmidt number, Heat source parameter, Prandtl number, Eckert number and rotational parameter on the flow field are presented graphically. A change on the parameters is observed to either increase, decrease or to have no effect on the profiles. The study has some useful information to engineers in the field of oil exploration, geothermal reservoirs, in petroleum and mineral industries, MHD generators, among many other areas.},
 year = {2016}
}

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TY  - JOUR
T1  - Effects of Mass Transfer on Unsteady Hydromagnetic Convective Flow Past an Infinite Vertical Rotating Porous Plate with Heat Source
AU  - Thomas Mwathi Ngugi
AU  - Mathew Ngugi Kinyanjui
AU  - David Theuri
Y1  - 2016/04/25
PY  - 2016
N1  - https://doi.org/10.11648/j.ajam.20160403.11
DO  - 10.11648/j.ajam.20160403.11
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 114
EP  - 123
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20160403.11
AB  - The effect of mass transfer on unsteady Hydromagnetic convective flow, of an incompressible electrically conducting fluid, past an infinite vertical rotating porous plate in presence of constant injection and heat source has been investigated. The non-linear partial differential equations governing the flow are solved numerically using the finite differences method. The effect of Hartmann's number, Grashof number for heat transfer, Grashof number for mass transfer, permeability parameter, Schmidt number, Heat source parameter, Prandtl number, Eckert number and rotational parameter on the flow field are presented graphically. A change on the parameters is observed to either increase, decrease or to have no effect on the profiles. The study has some useful information to engineers in the field of oil exploration, geothermal reservoirs, in petroleum and mineral industries, MHD generators, among many other areas.
VL  - 4
IS  - 3
ER  -

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Author Information

Thomas Mwathi Ngugi

Department Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya
Mathew Ngugi Kinyanjui

Department Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya
David Theuri

Department Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya

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APA Style

Thomas Mwathi Ngugi, Mathew Ngugi Kinyanjui, David Theuri. (2016). Effects of Mass Transfer on Unsteady Hydromagnetic Convective Flow Past an Infinite Vertical Rotating Porous Plate with Heat Source. American Journal of Applied Mathematics, 4(3), 114-123. https://doi.org/10.11648/j.ajam.20160403.11

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ACS Style

Thomas Mwathi Ngugi; Mathew Ngugi Kinyanjui; David Theuri. Effects of Mass Transfer on Unsteady Hydromagnetic Convective Flow Past an Infinite Vertical Rotating Porous Plate with Heat Source. Am. J. Appl. Math. 2016, 4(3), 114-123. doi: 10.11648/j.ajam.20160403.11

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AMA Style

Thomas Mwathi Ngugi, Mathew Ngugi Kinyanjui, David Theuri. Effects of Mass Transfer on Unsteady Hydromagnetic Convective Flow Past an Infinite Vertical Rotating Porous Plate with Heat Source. Am J Appl Math. 2016;4(3):114-123. doi: 10.11648/j.ajam.20160403.11

Copy | Download

@article{10.11648/j.ajam.20160403.11,
  author = {Thomas Mwathi Ngugi and Mathew Ngugi Kinyanjui and David Theuri},
  title = {Effects of Mass Transfer on Unsteady Hydromagnetic Convective Flow Past an Infinite Vertical Rotating Porous Plate with Heat Source},
  journal = {American Journal of Applied Mathematics},
  volume = {4},
  number = {3},
  pages = {114-123},
  doi = {10.11648/j.ajam.20160403.11},
  url = {https://doi.org/10.11648/j.ajam.20160403.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20160403.11},
  abstract = {The effect of mass transfer on unsteady Hydromagnetic convective flow, of an incompressible electrically conducting fluid, past an infinite vertical rotating porous plate in presence of constant injection and heat source has been investigated. The non-linear partial differential equations governing the flow are solved numerically using the finite differences method. The effect of Hartmann's number, Grashof number for heat transfer, Grashof number for mass transfer, permeability parameter, Schmidt number, Heat source parameter, Prandtl number, Eckert number and rotational parameter on the flow field are presented graphically. A change on the parameters is observed to either increase, decrease or to have no effect on the profiles. The study has some useful information to engineers in the field of oil exploration, geothermal reservoirs, in petroleum and mineral industries, MHD generators, among many other areas.},
 year = {2016}
}

Copy | Download

TY  - JOUR
T1  - Effects of Mass Transfer on Unsteady Hydromagnetic Convective Flow Past an Infinite Vertical Rotating Porous Plate with Heat Source
AU  - Thomas Mwathi Ngugi
AU  - Mathew Ngugi Kinyanjui
AU  - David Theuri
Y1  - 2016/04/25
PY  - 2016
N1  - https://doi.org/10.11648/j.ajam.20160403.11
DO  - 10.11648/j.ajam.20160403.11
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 114
EP  - 123
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20160403.11
AB  - The effect of mass transfer on unsteady Hydromagnetic convective flow, of an incompressible electrically conducting fluid, past an infinite vertical rotating porous plate in presence of constant injection and heat source has been investigated. The non-linear partial differential equations governing the flow are solved numerically using the finite differences method. The effect of Hartmann's number, Grashof number for heat transfer, Grashof number for mass transfer, permeability parameter, Schmidt number, Heat source parameter, Prandtl number, Eckert number and rotational parameter on the flow field are presented graphically. A change on the parameters is observed to either increase, decrease or to have no effect on the profiles. The study has some useful information to engineers in the field of oil exploration, geothermal reservoirs, in petroleum and mineral industries, MHD generators, among many other areas.
VL  - 4
IS  - 3
ER  -

Copy | Download