Investigate Micropolar Fluid Behavior on MHD Free Convection and Mass Transfer Flow with Constant Heat and Mass Fluxes by Finite Difference Method

Lasker Ershad Ali; Ariful Islam; Nazmul Islam

doi:doi:10.11648/j.ajam.20150303.23

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Investigate Micropolar Fluid Behavior on MHD Free Convection and Mass Transfer Flow with Constant Heat and Mass Fluxes by Finite Difference Method

Lasker Ershad Ali, Ariful Islam, Nazmul Islam

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

Received: 6 March 2015 Accepted: 16 March 2015 Published: 8 June 2015

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Abstract

Micropolar fluid behavior on MHD free convection and mass transfer with constant heat and mass fluxes is studied numerically. Finite difference technique is used as the main tool for the numerical approach. Micropolar fluid behavior on MHD steady free convection and mass transfer with constant heat and mass fluxes have been considered and its similarities solution have been obtained. Similarity equations of the corresponding momentum, angular momentum, temperature and concentration equations are derived by employing the usual similarity technique. The dimensionless similarity equations for momentum, angular momentum, temperature and concentration equations solved numerically by explicit finite difference technique. With the help of graphs the effects of the various important parameters entering into each of the problems on the velocity, microrotation, temperature and concentration profiles within the boundary layer are separately discussed.

Published in	American Journal of Applied Mathematics (Volume 3, Issue 3)
DOI	10.11648/j.ajam.20150303.23
Page(s)	157-168
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), 2015. Published by Science Publishing Group

Keywords

Micropolar Fluid, Finite Difference Method, Mass Transfer and MHD Free Convection

References

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[2]	Char, M. I., and Chang, C. L., (1995), Laminar free convection flow of micropolar fluids from a curved surface. Journal of Physics D: Applied Physics, 28:1324–1331.
[3]	El-Haikem, M. A., Mohammadein, A. A. and El-Kabeir, S. M. M., (1999), Joule heating effects on magneto hydrodynamic free convection flow of a micropolar fluid. International Journal of Communication Heat and Mass Transfer, 2:219-227.
[4]	El-Amin, M. F., (2001), Magneto hydrodynamic free convection and mass transfer flow in micropolar fluid with constant suction. Journal of Magnetism and Magnetic Materials, 234(3):567-574.
[5]	El-Arabawy, H. A. M., (2003), Effect of suction/injection on the flow of a micropolar fluid past a continuously moving plate in the presence of radiation. International Journal of Heat and Mass Transfer, 46:1471-1477.
[6]	Eringen, A. C., (1966), Theory of micropolar fluids. Journal of Mathematical Mechanics, 16:1-18.
[7]	Gorla, R. S. R., (1992), Mixed convection in a micropolar fluid from a vertical surface with uniform heat flux. International Journal of Engineering and Science, 30:349–358.
[8]	Haque, M. Z., Alam, M. M., Ferdows, M., and Postelnicu, A., (2012), Micropolar fluid behaviors on steady MHD free convection and mass transfer flow with constant heat and mass fluxes, joule heating and viscous dissipation. Journal of King Saud University–Engineering Sciences, 24:71–84.
[9]	Mohammadein, A. A. and Gorla R. S. R., (1996), Effects of transverse magnetic-field on mixed convection in a micropolar fluid on a horizontal plate with vectored mass-transfer. Acta Mechanica, 118:1-12.
[10]	Peddiesen, J., and McNitt, R. P., (1970), Boundary layer theory for micropolar fluid. Recent Advanced Engineering Science, 5:405-426.
[11]	Rahman, M. M., and Sattar, M. A., (2006), Magneto hydrodynamic convective flow of a micropolar fluid past a continuously moving porous plate in the presence of heat generation/absorption. ASME, Journal of Heat Mass Transfer, 128:142-152.
[12]	Rees, D. A. S., and Bassom, A. P., (1996), The Blasius boundary layer flow of a micropolar fluid. International Journal of Engineering and Science, 34:113-124.
[13]	Soundalgekar, V.M., and Ganesan, P., (1981), Finite difference analysis of transient free convection with mass transfer on an isothermal vertical flat plate. International Journal of Engineering and Science, 19:757–770.
[14]	Takhar, H. S., and Soundalgekar, V. M., (1985), Flow and heat transfer of micropolar fluid past a porous plate. International Journal of Engineering and Science, 23:201-205.

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APA Style

Lasker Ershad Ali, Ariful Islam, Nazmul Islam. (2015). Investigate Micropolar Fluid Behavior on MHD Free Convection and Mass Transfer Flow with Constant Heat and Mass Fluxes by Finite Difference Method. American Journal of Applied Mathematics, 3(3), 157-168. https://doi.org/10.11648/j.ajam.20150303.23

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ACS Style

Lasker Ershad Ali; Ariful Islam; Nazmul Islam. Investigate Micropolar Fluid Behavior on MHD Free Convection and Mass Transfer Flow with Constant Heat and Mass Fluxes by Finite Difference Method. Am. J. Appl. Math. 2015, 3(3), 157-168. doi: 10.11648/j.ajam.20150303.23

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AMA Style

Lasker Ershad Ali, Ariful Islam, Nazmul Islam. Investigate Micropolar Fluid Behavior on MHD Free Convection and Mass Transfer Flow with Constant Heat and Mass Fluxes by Finite Difference Method. Am J Appl Math. 2015;3(3):157-168. doi: 10.11648/j.ajam.20150303.23

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@article{10.11648/j.ajam.20150303.23,
  author = {Lasker Ershad Ali and Ariful Islam and Nazmul Islam},
  title = {Investigate Micropolar Fluid Behavior on MHD Free Convection and Mass Transfer Flow with Constant Heat and Mass Fluxes by Finite Difference Method},
  journal = {American Journal of Applied Mathematics},
  volume = {3},
  number = {3},
  pages = {157-168},
  doi = {10.11648/j.ajam.20150303.23},
  url = {https://doi.org/10.11648/j.ajam.20150303.23},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20150303.23},
  abstract = {Micropolar fluid behavior on MHD free convection and mass transfer with constant heat and mass fluxes is studied numerically. Finite difference technique is used as the main tool for the numerical approach. Micropolar fluid behavior on MHD steady free convection and mass transfer with constant heat and mass fluxes have been considered and its similarities solution have been obtained. Similarity equations of the corresponding momentum, angular momentum, temperature and concentration equations are derived by employing the usual similarity technique. The dimensionless similarity equations for momentum, angular momentum, temperature and concentration equations solved numerically by explicit finite difference technique. With the help of graphs the effects of the various important parameters entering into each of the problems on the velocity, microrotation, temperature and concentration profiles within the boundary layer are separately discussed.},
 year = {2015}
}

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TY  - JOUR
T1  - Investigate Micropolar Fluid Behavior on MHD Free Convection and Mass Transfer Flow with Constant Heat and Mass Fluxes by Finite Difference Method
AU  - Lasker Ershad Ali
AU  - Ariful Islam
AU  - Nazmul Islam
Y1  - 2015/06/08
PY  - 2015
N1  - https://doi.org/10.11648/j.ajam.20150303.23
DO  - 10.11648/j.ajam.20150303.23
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 157
EP  - 168
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20150303.23
AB  - Micropolar fluid behavior on MHD free convection and mass transfer with constant heat and mass fluxes is studied numerically. Finite difference technique is used as the main tool for the numerical approach. Micropolar fluid behavior on MHD steady free convection and mass transfer with constant heat and mass fluxes have been considered and its similarities solution have been obtained. Similarity equations of the corresponding momentum, angular momentum, temperature and concentration equations are derived by employing the usual similarity technique. The dimensionless similarity equations for momentum, angular momentum, temperature and concentration equations solved numerically by explicit finite difference technique. With the help of graphs the effects of the various important parameters entering into each of the problems on the velocity, microrotation, temperature and concentration profiles within the boundary layer are separately discussed.
VL  - 3
IS  - 3
ER  -

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Author Information

Lasker Ershad Ali

Mathematics Discipline, Khulna University, Khulna, Bangladesh
Ariful Islam

Mathematics Discipline, Khulna University, Khulna, Bangladesh
Nazmul Islam

Mathematics Discipline, Khulna University, Khulna, Bangladesh

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Plain Text BibTeX RIS

APA Style

Lasker Ershad Ali, Ariful Islam, Nazmul Islam. (2015). Investigate Micropolar Fluid Behavior on MHD Free Convection and Mass Transfer Flow with Constant Heat and Mass Fluxes by Finite Difference Method. American Journal of Applied Mathematics, 3(3), 157-168. https://doi.org/10.11648/j.ajam.20150303.23

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ACS Style

Lasker Ershad Ali; Ariful Islam; Nazmul Islam. Investigate Micropolar Fluid Behavior on MHD Free Convection and Mass Transfer Flow with Constant Heat and Mass Fluxes by Finite Difference Method. Am. J. Appl. Math. 2015, 3(3), 157-168. doi: 10.11648/j.ajam.20150303.23

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AMA Style

Lasker Ershad Ali, Ariful Islam, Nazmul Islam. Investigate Micropolar Fluid Behavior on MHD Free Convection and Mass Transfer Flow with Constant Heat and Mass Fluxes by Finite Difference Method. Am J Appl Math. 2015;3(3):157-168. doi: 10.11648/j.ajam.20150303.23

Copy | Download

@article{10.11648/j.ajam.20150303.23,
  author = {Lasker Ershad Ali and Ariful Islam and Nazmul Islam},
  title = {Investigate Micropolar Fluid Behavior on MHD Free Convection and Mass Transfer Flow with Constant Heat and Mass Fluxes by Finite Difference Method},
  journal = {American Journal of Applied Mathematics},
  volume = {3},
  number = {3},
  pages = {157-168},
  doi = {10.11648/j.ajam.20150303.23},
  url = {https://doi.org/10.11648/j.ajam.20150303.23},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20150303.23},
  abstract = {Micropolar fluid behavior on MHD free convection and mass transfer with constant heat and mass fluxes is studied numerically. Finite difference technique is used as the main tool for the numerical approach. Micropolar fluid behavior on MHD steady free convection and mass transfer with constant heat and mass fluxes have been considered and its similarities solution have been obtained. Similarity equations of the corresponding momentum, angular momentum, temperature and concentration equations are derived by employing the usual similarity technique. The dimensionless similarity equations for momentum, angular momentum, temperature and concentration equations solved numerically by explicit finite difference technique. With the help of graphs the effects of the various important parameters entering into each of the problems on the velocity, microrotation, temperature and concentration profiles within the boundary layer are separately discussed.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Investigate Micropolar Fluid Behavior on MHD Free Convection and Mass Transfer Flow with Constant Heat and Mass Fluxes by Finite Difference Method
AU  - Lasker Ershad Ali
AU  - Ariful Islam
AU  - Nazmul Islam
Y1  - 2015/06/08
PY  - 2015
N1  - https://doi.org/10.11648/j.ajam.20150303.23
DO  - 10.11648/j.ajam.20150303.23
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 157
EP  - 168
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20150303.23
AB  - Micropolar fluid behavior on MHD free convection and mass transfer with constant heat and mass fluxes is studied numerically. Finite difference technique is used as the main tool for the numerical approach. Micropolar fluid behavior on MHD steady free convection and mass transfer with constant heat and mass fluxes have been considered and its similarities solution have been obtained. Similarity equations of the corresponding momentum, angular momentum, temperature and concentration equations are derived by employing the usual similarity technique. The dimensionless similarity equations for momentum, angular momentum, temperature and concentration equations solved numerically by explicit finite difference technique. With the help of graphs the effects of the various important parameters entering into each of the problems on the velocity, microrotation, temperature and concentration profiles within the boundary layer are separately discussed.
VL  - 3
IS  - 3
ER  -

Copy | Download