Mass Transfer Flow Through an Inclined Plate with Porous Medium

Manjiul Islam; Farjana Akter; Ariful Islam

doi:doi:10.11648/j.ajam.20150305.12

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Mass Transfer Flow Through an Inclined Plate with Porous Medium

Manjiul Islam, Farjana Akter, Ariful Islam

Published in American Journal of Applied Mathematics (Volume 3, Issue 5)

Received: 7 August 2015 Accepted: 13 August 2015 Published: 5 September 2015

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Abstract

The numerical studies are performed to examine the mass transfer flow through porous medium with an inclined plate. The governing partial differential equations are transformed to a system of dimensionless coupled partial differential equation. Finite difference technique is used as a tool for the numerical approach. The corresponding momentum, concentration and continuity equation are derived by employing the usual transformation, and finite difference method has been used to solve the above equations. The effects on the velocity and concentration distribution of various parameters entering into the problem separately are discussed with the help of graphs and tables.

Published in	American Journal of Applied Mathematics (Volume 3, Issue 5)
DOI	10.11648/j.ajam.20150305.12
Page(s)	215-220
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

Mass Transfer, Inclined Plate, Schmidt Number, Porous Medium

References

[1]	E. M. Sparrow, R. Eichhorn and J. L. Grigg, (1959), Combined forced and free convection in a boundary layer, Physics of Fluids, 2:319-320.
[2]	B. C. Sakiadis, (1961), Boundary layer behavior on continuous solid surfaces, AI Ch E J, 7, 26-28.
[3]	B. Gebhart and L. Pera, (1971), The nature of vertical natural convection flows resulting from the combined buoyancy effect of thermal and mass diffusion, International Journal of Heat and Mass Transfer, 14:2025-2050.
[4]	Soundalgekar and Ganesan P (1981), Finite-differential analysis of transient free convection with mass transfer on an isothermal vertical plate, International journal of engineering and science, 19:757-770.
[5]	Bejan, A. and Khair, K. R., (1985), Heat and Mass transfer by natural convection in a porous medium, International Journal of Heat and Mass Transfer, 28:909-918.
[6]	Lai, F. C. and Kulachi, F. A., (1990), The eﬀects of variable viscosity on convective heat transfer along a vertical surface in a saturated porous medium, International Journal of Heat and Mass Transfer, 33:1028-1031.
[7]	Lai, F. C. and Kulacki, F. A., (1991), Coupled heat and mass transfer by natural convection from vertical surfaces in porous media, International Journal of Heat Mass Transfer, 24:1189-1194.
[8]	Elbashbeshy, (1997), Mass transfer along a vertical plate, International Journal of Heat and Mass Transfer, 19:165.
[9]	Chamaka A. J., (2000), International Journal of Num. Methods for heat and fluid flow, 10(5): 455-476.
[10]	Chamka and Khaled, (2001), Simultaneously heat and mass transfer in free convection, Industrial Engineering Chemical, 49:961-968.
[11]	Magyari E. Pop I and Keller B., (2004), Analytical solutions for unsteady free convection flow through a porous media, Journal of Engineering mathematics, 48:93-104.
[12]	Naseer S. Elgazery, (2008), Transient analysis of heat and mass transfer by natural convection in power law fluid past a vertical plate immersed in a porous medium (numerical study), Applications and Applied Mathematics, 3(2):267–285.
[13]	Bhuvaneswari, M. S. Sivasankaran and Y. J. Kim, (2010), Exact analysis of radiation convective flow heat and mass transfer over an inclined plate in a porous medium, World Applied Journal, 10:774-778.

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APA Style

Manjiul Islam, Farjana Akter, Ariful Islam. (2015). Mass Transfer Flow Through an Inclined Plate with Porous Medium. American Journal of Applied Mathematics, 3(5), 215-220. https://doi.org/10.11648/j.ajam.20150305.12

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ACS Style

Manjiul Islam; Farjana Akter; Ariful Islam. Mass Transfer Flow Through an Inclined Plate with Porous Medium. Am. J. Appl. Math. 2015, 3(5), 215-220. doi: 10.11648/j.ajam.20150305.12

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AMA Style

Manjiul Islam, Farjana Akter, Ariful Islam. Mass Transfer Flow Through an Inclined Plate with Porous Medium. Am J Appl Math. 2015;3(5):215-220. doi: 10.11648/j.ajam.20150305.12

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@article{10.11648/j.ajam.20150305.12,
  author = {Manjiul Islam and Farjana Akter and Ariful Islam},
  title = {Mass Transfer Flow Through an Inclined Plate with Porous Medium},
  journal = {American Journal of Applied Mathematics},
  volume = {3},
  number = {5},
  pages = {215-220},
  doi = {10.11648/j.ajam.20150305.12},
  url = {https://doi.org/10.11648/j.ajam.20150305.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20150305.12},
  abstract = {The numerical studies are performed to examine the mass transfer flow through porous medium with an inclined plate. The governing partial differential equations are transformed to a system of dimensionless coupled partial differential equation. Finite difference technique is used as a tool for the numerical approach. The corresponding momentum, concentration and continuity equation are derived by employing the usual transformation, and finite difference method has been used to solve the above equations. The effects on the velocity and concentration distribution of various parameters entering into the problem separately are discussed with the help of graphs and tables.},
 year = {2015}
}

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TY  - JOUR
T1  - Mass Transfer Flow Through an Inclined Plate with Porous Medium
AU  - Manjiul Islam
AU  - Farjana Akter
AU  - Ariful Islam
Y1  - 2015/09/05
PY  - 2015
N1  - https://doi.org/10.11648/j.ajam.20150305.12
DO  - 10.11648/j.ajam.20150305.12
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 215
EP  - 220
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20150305.12
AB  - The numerical studies are performed to examine the mass transfer flow through porous medium with an inclined plate. The governing partial differential equations are transformed to a system of dimensionless coupled partial differential equation. Finite difference technique is used as a tool for the numerical approach. The corresponding momentum, concentration and continuity equation are derived by employing the usual transformation, and finite difference method has been used to solve the above equations. The effects on the velocity and concentration distribution of various parameters entering into the problem separately are discussed with the help of graphs and tables.
VL  - 3
IS  - 5
ER  -

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Author Information

Manjiul Islam

Mathematics Discipline, Khulna University, Khulna, Bangladesh
Farjana Akter

Mathematics Discipline, Khulna University, Khulna, Bangladesh
Ariful Islam

Mathematics Discipline, Khulna University, Khulna, Bangladesh

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APA Style

Manjiul Islam, Farjana Akter, Ariful Islam. (2015). Mass Transfer Flow Through an Inclined Plate with Porous Medium. American Journal of Applied Mathematics, 3(5), 215-220. https://doi.org/10.11648/j.ajam.20150305.12

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ACS Style

Manjiul Islam; Farjana Akter; Ariful Islam. Mass Transfer Flow Through an Inclined Plate with Porous Medium. Am. J. Appl. Math. 2015, 3(5), 215-220. doi: 10.11648/j.ajam.20150305.12

Copy | Download

AMA Style

Manjiul Islam, Farjana Akter, Ariful Islam. Mass Transfer Flow Through an Inclined Plate with Porous Medium. Am J Appl Math. 2015;3(5):215-220. doi: 10.11648/j.ajam.20150305.12

Copy | Download

@article{10.11648/j.ajam.20150305.12,
  author = {Manjiul Islam and Farjana Akter and Ariful Islam},
  title = {Mass Transfer Flow Through an Inclined Plate with Porous Medium},
  journal = {American Journal of Applied Mathematics},
  volume = {3},
  number = {5},
  pages = {215-220},
  doi = {10.11648/j.ajam.20150305.12},
  url = {https://doi.org/10.11648/j.ajam.20150305.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20150305.12},
  abstract = {The numerical studies are performed to examine the mass transfer flow through porous medium with an inclined plate. The governing partial differential equations are transformed to a system of dimensionless coupled partial differential equation. Finite difference technique is used as a tool for the numerical approach. The corresponding momentum, concentration and continuity equation are derived by employing the usual transformation, and finite difference method has been used to solve the above equations. The effects on the velocity and concentration distribution of various parameters entering into the problem separately are discussed with the help of graphs and tables.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Mass Transfer Flow Through an Inclined Plate with Porous Medium
AU  - Manjiul Islam
AU  - Farjana Akter
AU  - Ariful Islam
Y1  - 2015/09/05
PY  - 2015
N1  - https://doi.org/10.11648/j.ajam.20150305.12
DO  - 10.11648/j.ajam.20150305.12
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 215
EP  - 220
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20150305.12
AB  - The numerical studies are performed to examine the mass transfer flow through porous medium with an inclined plate. The governing partial differential equations are transformed to a system of dimensionless coupled partial differential equation. Finite difference technique is used as a tool for the numerical approach. The corresponding momentum, concentration and continuity equation are derived by employing the usual transformation, and finite difference method has been used to solve the above equations. The effects on the velocity and concentration distribution of various parameters entering into the problem separately are discussed with the help of graphs and tables.
VL  - 3
IS  - 5
ER  -

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