Numerical Investigation on Magnetohydrodynamics (MHD) Free Convection Fluid Flow over a Vertical Porous Plate with induced Magnetic Field

Ronju Khatun; Mohammad Roknujjaman; Mohammad Abdul Al Mohit

doi:doi:10.11648/j.ijamtp.20180401.13

| Peer-Reviewed

Numerical Investigation on Magnetohydrodynamics (MHD) Free Convection Fluid Flow over a Vertical Porous Plate with induced Magnetic Field

Ronju Khatun, Mohammad Roknujjaman, Mohammad Abdul Al Mohit

Published in International Journal of Applied Mathematics and Theoretical Physics (Volume 4, Issue 1)

Received: 8 March 2018 Accepted: 2 April 2018 Published: 10 May 2018

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

Abstract

In this paper, investigate a two dimensional unsteady Magneto hydro dynamics (MHD) free convection flow of viscous incompressible and electrically conducting fluid flow past an vertical plate in the presence of Grashof Number, Modified Grashof Number, Prandtl Number, Schamidt Number as well as Dufour effects. The governing equations of the problem contain a system of non-linear partial differential equations; have been transformed into a set of coupled non-linear ordinary differential equations which is solved numerically by applying well known explicit finite difference method. The Finite-difference method is an enormously used technique to investigate of the general non linear partial differential equation. Partial differential equations occur in many branches of applied mathematics for example, in hydrodynamics, elasticity, quantum mechanics. Hence, the proposed study is to investigate the numerical results which are performed for various physical parameters such as velocity profiles, temperature distribution and concentration profiles within the boundary layer are separately discussed in graphically.

Published in	International Journal of Applied Mathematics and Theoretical Physics (Volume 4, Issue 1)
DOI	10.11648/j.ijamtp.20180401.13
Page(s)	15-26
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

Keywords

MHD, Non-Linear PDE, Rotating System, Mass and Heat Transfer, Explicit Finite Difference Method

References

[1]	S. Idowu, M. S. Dadaand A. Jimoh, “Heat and Mass Transfer of Magneto hydrodynamic and Dissipative Fluid Flow Past a Moving Vertical Porous Plate With Variable Suction”, Mathematical Theory and Modeling, Vol. 3(3), pp. 80-110, 2013.
[2]	M. S. Alam, M. M. Rahman and M. A. Sattar, “MHD Free Convective Heat and Mass Transfer Flow Past an Inclined Surface with Heat Generation”, Int. J. Sc. Tech., Vol. 11(4), pp. 1-7, 2006.
[3]	Mohammad Shah Alam, Mohammad Ali and Md. DelowarHossain, “Heat and Mass Transfer in MHD Free Convection Flow over an Inclined Plate with Hall Current”, The International Journal of Engineering And Science, Vol. 2(7), pp. 81-88, 2013.
[4]	M. Umamaheswar, S. V. K. Varmaand M. C. Raju, “Unsteady MHD Free Convective Visco-Elastic Fluid Flow Bounded by an Infinite Inclined Porous Plate in the Presence of Heat Source, Viscous Dissipation and ohmic Heating”, International Journal of Advance Science and Technology, Vol. 61(5) pp. 39-52, 2013.
[5]	P. R. Sharma, I. K. Dadheech and Gurminder Singh, “Heat and Mass Transfer Effects on Unsteady MHD Free Convective Flow Along a Vertical Porous Plate with Internal Heat Generation and Variable Suction”, International Journal of Mathematical Archive, Vol. 3(5), pp. 2163-2172, 2012
[6]	HemantPoonia and R. C. Chaudhary, “MHD free convection and mass transfer flow over an infinite vertical porous plate with viscous dissipation”, Theoret. Appl. Mech., Vol. 37 (4), pp. 263–287, 2010.
[7]	C. V. RamanaKumari and N. Bhaskara Reddy, “Mass Transfer Effects on Unsteady Free Convective Flow Past an Infinite Vertical Porous Plate with Variable Suction”, Defence Science Journal, Vol. 45 (4), pp. 341-347, 1995.
[8]	G. V. Ramana Reddy, S Mohammed Ibrahim and V. S. Bhagavan, “Similarity Transformations of Heat and Mass Transfer Effects MHD Free Convection Dissipative Fluid Flow an Inclined Porous Surface with Chemical Reaction”, Journal of Naval Architecture and Marine Engineering, Vol. 11(2), pp. 157-166, 2014.
[9]	K. Bhagya Lakshmi, G. S. S. Raju, P. M. Kishoreand N. V. R. V. PrasadaRao., “MHD Free Convection Flow of Dissipative Fluid Past an Exponentially Accelerated Vertical Plate’’, Int. Journal of Engineering Research and Applications, Vol. 3(6), pp. 689-702, 2013.
[10]	Seethamahalakshmi, G. V. Ramana Reddy and B. D. C. N. Prasad, Unsteady “MHD free convection flow and mass transfer near a moving vertical plate in the presence of thermal radiation”, Advances in Applied Science Research, Vol. 2(6), pp. 261-269, 2011.
[11]	V. Rajesh, “Heat Source and Mass Transfer Effects on MHD Flow of an Elasto-Viscous Fluid through a Porous Medium”, International Journal of Engineering, Vol. 2(IX), pp. 206-212, 2011.
[12]	N. Bhaskar Reddy, G. V. Ramana Reddy and C. V. Ramana Murthy, “Unsteady MHD Free Convective Mass Transfer Flow Past an Infinite Vertical Porous Plate with Variable Suction and Soret Effect”, Int. J. of Appl. Math and Mech., Vol. 7(21), pp. 70-84, 2011.
[13]	Mohammad Shah Alam, Mohammad Ali and Md. DelowarHossain, “Heat and Mass Transfer in MHD Free Convection Flow over an Inclined Plate with Hall Current”, The International Journal of Engineering And Science (IJES), Vol. 2(7), pp. 81-88, 2013.
[14]	Joseph K. M, Daniel Sand Joseph G. M, “Unsteady MHD Couette Flow between Two Infinite Parallel Porous Plates in an Inclined Magnetic Field with Heat Transfer”, International Journal of Mathematics and Statistics Invention (IJMSI), Vol. 2(3), pp. 103-110, 2014.
[15]	M. S. Hossain, S. K. Paul, S. F. Ahmmed and T. Sultana,“Study on MHD Free Convection Heat and Mass Transfer Flow past a Vertical Plate in the Presence of Hall Current”, American Journal of Engineering Research (AJER), Vol. 3(12), pp. 07-14, 2014.
[16]	AbdulwaheedJimoh, Moses S. Dada, Amos S. Idowu and Samson A. Agunbiade, “Numerical Study of Unsteady Free Convective Heat Transfer in Walters-B Viscoelastic Flow over an Inclined Stretching Sheet with Heat Source and Magnetic Field”, The Pacific Journal of Science and Technology, Vol. 16(1), pp. 60-69, 2015.
[17]	Rasulalizadeh and Alirezadarvish, “Numerical investigation of MHD free convection effects on non-Newtonian fluid over a vertical porous plate”, International Conference on Mathematical Methods, Mathematical Models and Simulation in Science and Engineering, ISBN: 978-1-61804-219-4, pp. 67-71, 2014.
[18]	K. Anitha, “Numerical solution of an unsteady MHD flow of a rotating fluid past an infinite vertical porous plate in the presence of radiation and chemical reaction”, Electronic Journal of Mathematical Analysis and Applications, Vol. 3(2), pp. 202-214, 2015.
[19]	H. S. Takhar and P. C. Ram, Effects of Hall current on hydro-magnetic free convection flow through a porous medium, Astrophysics and Space Science, 192(1992) 45-51.
[20]	B. K. Sharma, A. K. Jha and R. C. Chaudhary, Hall effect on MHD mixed convective flow of a viscous incompressible fluid past a vertical porous plate immersed in porous medium with heat source/sink, Journal of Physics, 52(5) (2007) 487-503.

Cite This Article

Plain Text BibTeX RIS

APA Style

Ronju Khatun, Mohammad Roknujjaman, Mohammad Abdul Al Mohit. (2018). Numerical Investigation on Magnetohydrodynamics (MHD) Free Convection Fluid Flow over a Vertical Porous Plate with induced Magnetic Field. International Journal of Applied Mathematics and Theoretical Physics, 4(1), 15-26. https://doi.org/10.11648/j.ijamtp.20180401.13

Copy | Download

ACS Style

Ronju Khatun; Mohammad Roknujjaman; Mohammad Abdul Al Mohit. Numerical Investigation on Magnetohydrodynamics (MHD) Free Convection Fluid Flow over a Vertical Porous Plate with induced Magnetic Field. Int. J. Appl. Math. Theor. Phys. 2018, 4(1), 15-26. doi: 10.11648/j.ijamtp.20180401.13

Copy | Download

AMA Style

Ronju Khatun, Mohammad Roknujjaman, Mohammad Abdul Al Mohit. Numerical Investigation on Magnetohydrodynamics (MHD) Free Convection Fluid Flow over a Vertical Porous Plate with induced Magnetic Field. Int J Appl Math Theor Phys. 2018;4(1):15-26. doi: 10.11648/j.ijamtp.20180401.13

Copy | Download

@article{10.11648/j.ijamtp.20180401.13,
  author = {Ronju Khatun and Mohammad Roknujjaman and Mohammad Abdul Al Mohit},
  title = {Numerical Investigation on Magnetohydrodynamics (MHD) Free Convection Fluid Flow over a Vertical Porous Plate with induced Magnetic Field},
  journal = {International Journal of Applied Mathematics and Theoretical Physics},
  volume = {4},
  number = {1},
  pages = {15-26},
  doi = {10.11648/j.ijamtp.20180401.13},
  url = {https://doi.org/10.11648/j.ijamtp.20180401.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20180401.13},
  abstract = {In this paper, investigate a two dimensional unsteady Magneto hydro dynamics (MHD) free convection flow of viscous incompressible and electrically conducting fluid flow past an vertical plate in the presence of Grashof Number, Modified Grashof Number, Prandtl Number, Schamidt Number as well as Dufour effects. The governing equations of the problem contain a system of non-linear partial differential equations; have been transformed into a set of coupled non-linear ordinary differential equations which is solved numerically by applying well known explicit finite difference method. The Finite-difference method is an enormously used technique to investigate of the general non linear partial differential equation. Partial differential equations occur in many branches of applied mathematics for example, in hydrodynamics, elasticity, quantum mechanics. Hence, the proposed study is to investigate the numerical results which are performed for various physical parameters such as velocity profiles, temperature distribution and concentration profiles within the boundary layer are separately discussed in graphically.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - Numerical Investigation on Magnetohydrodynamics (MHD) Free Convection Fluid Flow over a Vertical Porous Plate with induced Magnetic Field
AU  - Ronju Khatun
AU  - Mohammad Roknujjaman
AU  - Mohammad Abdul Al Mohit
Y1  - 2018/05/10
PY  - 2018
N1  - https://doi.org/10.11648/j.ijamtp.20180401.13
DO  - 10.11648/j.ijamtp.20180401.13
T2  - International Journal of Applied Mathematics and Theoretical Physics
JF  - International Journal of Applied Mathematics and Theoretical Physics
JO  - International Journal of Applied Mathematics and Theoretical Physics
SP  - 15
EP  - 26
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20180401.13
AB  - In this paper, investigate a two dimensional unsteady Magneto hydro dynamics (MHD) free convection flow of viscous incompressible and electrically conducting fluid flow past an vertical plate in the presence of Grashof Number, Modified Grashof Number, Prandtl Number, Schamidt Number as well as Dufour effects. The governing equations of the problem contain a system of non-linear partial differential equations; have been transformed into a set of coupled non-linear ordinary differential equations which is solved numerically by applying well known explicit finite difference method. The Finite-difference method is an enormously used technique to investigate of the general non linear partial differential equation. Partial differential equations occur in many branches of applied mathematics for example, in hydrodynamics, elasticity, quantum mechanics. Hence, the proposed study is to investigate the numerical results which are performed for various physical parameters such as velocity profiles, temperature distribution and concentration profiles within the boundary layer are separately discussed in graphically.
VL  - 4
IS  - 1
ER  -

Copy | Download

Author Information

Ronju Khatun

Department of Mathematics, Islamic University (IU), Kushtia, Bangladesh
Mohammad Roknujjaman

Department of Mathematics, Islamic University (IU), Kushtia, Bangladesh
Mohammad Abdul Al Mohit

Department of Mathematics, Islamic University (IU), Kushtia, Bangladesh

Download PDF

Sections

Plain Text BibTeX RIS

APA Style

Ronju Khatun, Mohammad Roknujjaman, Mohammad Abdul Al Mohit. (2018). Numerical Investigation on Magnetohydrodynamics (MHD) Free Convection Fluid Flow over a Vertical Porous Plate with induced Magnetic Field. International Journal of Applied Mathematics and Theoretical Physics, 4(1), 15-26. https://doi.org/10.11648/j.ijamtp.20180401.13

Copy | Download

ACS Style

Ronju Khatun; Mohammad Roknujjaman; Mohammad Abdul Al Mohit. Numerical Investigation on Magnetohydrodynamics (MHD) Free Convection Fluid Flow over a Vertical Porous Plate with induced Magnetic Field. Int. J. Appl. Math. Theor. Phys. 2018, 4(1), 15-26. doi: 10.11648/j.ijamtp.20180401.13

Copy | Download

AMA Style

Ronju Khatun, Mohammad Roknujjaman, Mohammad Abdul Al Mohit. Numerical Investigation on Magnetohydrodynamics (MHD) Free Convection Fluid Flow over a Vertical Porous Plate with induced Magnetic Field. Int J Appl Math Theor Phys. 2018;4(1):15-26. doi: 10.11648/j.ijamtp.20180401.13

Copy | Download

@article{10.11648/j.ijamtp.20180401.13,
  author = {Ronju Khatun and Mohammad Roknujjaman and Mohammad Abdul Al Mohit},
  title = {Numerical Investigation on Magnetohydrodynamics (MHD) Free Convection Fluid Flow over a Vertical Porous Plate with induced Magnetic Field},
  journal = {International Journal of Applied Mathematics and Theoretical Physics},
  volume = {4},
  number = {1},
  pages = {15-26},
  doi = {10.11648/j.ijamtp.20180401.13},
  url = {https://doi.org/10.11648/j.ijamtp.20180401.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20180401.13},
  abstract = {In this paper, investigate a two dimensional unsteady Magneto hydro dynamics (MHD) free convection flow of viscous incompressible and electrically conducting fluid flow past an vertical plate in the presence of Grashof Number, Modified Grashof Number, Prandtl Number, Schamidt Number as well as Dufour effects. The governing equations of the problem contain a system of non-linear partial differential equations; have been transformed into a set of coupled non-linear ordinary differential equations which is solved numerically by applying well known explicit finite difference method. The Finite-difference method is an enormously used technique to investigate of the general non linear partial differential equation. Partial differential equations occur in many branches of applied mathematics for example, in hydrodynamics, elasticity, quantum mechanics. Hence, the proposed study is to investigate the numerical results which are performed for various physical parameters such as velocity profiles, temperature distribution and concentration profiles within the boundary layer are separately discussed in graphically.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - Numerical Investigation on Magnetohydrodynamics (MHD) Free Convection Fluid Flow over a Vertical Porous Plate with induced Magnetic Field
AU  - Ronju Khatun
AU  - Mohammad Roknujjaman
AU  - Mohammad Abdul Al Mohit
Y1  - 2018/05/10
PY  - 2018
N1  - https://doi.org/10.11648/j.ijamtp.20180401.13
DO  - 10.11648/j.ijamtp.20180401.13
T2  - International Journal of Applied Mathematics and Theoretical Physics
JF  - International Journal of Applied Mathematics and Theoretical Physics
JO  - International Journal of Applied Mathematics and Theoretical Physics
SP  - 15
EP  - 26
PB  - Science Publishing Group
SN  - 2575-5927
UR  - https://doi.org/10.11648/j.ijamtp.20180401.13
AB  - In this paper, investigate a two dimensional unsteady Magneto hydro dynamics (MHD) free convection flow of viscous incompressible and electrically conducting fluid flow past an vertical plate in the presence of Grashof Number, Modified Grashof Number, Prandtl Number, Schamidt Number as well as Dufour effects. The governing equations of the problem contain a system of non-linear partial differential equations; have been transformed into a set of coupled non-linear ordinary differential equations which is solved numerically by applying well known explicit finite difference method. The Finite-difference method is an enormously used technique to investigate of the general non linear partial differential equation. Partial differential equations occur in many branches of applied mathematics for example, in hydrodynamics, elasticity, quantum mechanics. Hence, the proposed study is to investigate the numerical results which are performed for various physical parameters such as velocity profiles, temperature distribution and concentration profiles within the boundary layer are separately discussed in graphically.
VL  - 4
IS  - 1
ER  -

Copy | Download