The Effect of Radiation on Natural Convection Flow of Fluid with Variable Viscosity from a Porous Vertical Plate in Presence of Heat Generation

Amena Ferdousi; M. Mostafizur Rahman; Mohammad Salek Parvez; M. A. Alim

doi:doi:10.11648/j.acm.20130202.16

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The Effect of Radiation on Natural Convection Flow of Fluid with Variable Viscosity from a Porous Vertical Plate in Presence of Heat Generation

Amena Ferdousi, M. Mostafizur Rahman, Mohammad Salek Parvez, M. A. Alim

Published in Applied and Computational Mathematics (Volume 2, Issue 2)

Received: 16 May 2013 Published: 30 May 2013

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Abstract

This paper presents a new extension for the effect of radiation on natural convection flow with variable viscosity from a porous vertical plate in presence of heat generation. The governing boundary layer equations are first transformed into a non dimensional form and the resulting non linear system of partial differential equations are then solved numerically using finite difference method together with Keller-Box scheme. The numerical results show that the variable viscosity affects the surface shear stress and the rate of heat transfer, which are here in terms of skin friction coefficient and local Nusselt number. It affects velocity as well as temperature profiles also. These are shown graphically and tabular form for a selection of parameters set of consisting of viscosity variation parameter, heat generation parameter Q, radiation effect Rd , Prandtl number Pr

Published in	Applied and Computational Mathematics (Volume 2, Issue 2)
DOI	10.11648/j.acm.20130202.16
Page(s)	54-63
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), 2013. Published by Science Publishing Group

Keywords

Radiation Effect, Porous Plate, Heat Generation, Natural Convection, Variable Viscosity

References

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[2]	H. T. Lin, W. S. Yu, ''Free convection on horizontal plate with blowing and suction,'' Transactions on ASME journal of Heat Transfer, Vol.110, No.3, 1988, pp793-796.
[3]	M. Anwar Hossain, Khalil Khanafer, Kambiz Khafai, ''The effect of radiation on free convection flow with variable viscosity from a
[4]	Md. Anwar Hossain, Md. Sazzad Munir, D. A. S. Rees, ''Flow of viscous incompressible fluid with temperature dependent viscosity and thermal conductivity past a permeable wedge with variable heat flux,'' International Journal of Thermal science, Vol. 39, No. 6, 2000, pp635-644.
[5]	M. A. Hosain, H.S. Takhar, ''Radiation effect on mixed convection along a vertical plate with uniform surface Temparatue,'' Journal of Heat and Mass Transfer, Vol.31, No.4, 2001, pp 243-248.
[6]	J. Gary, D.R. Kassory, H. Tadjeran, A. Zebib, ''The effect of significant viscosity variation on convective heat transport in water-saturated porous media,'' Journal of Fluid Mechanics, Vol.117, 1982, pp 233–249.
[7]	K.N. Mehta, S. Sood, ''Transient free convection flow with temperature dependent viscosity in a fluid saturated porous medium,'' International Journal of Engineering and Science, Vol.30, 1992, pp1083–1087.
[8]	N.G. Kafoussius, E.W. Williams, ''The effect of temperature-dependent viscosity on the free convective laminar boundary layer flow past a vertical isothermal flat plate, ''Acta Mech, Vol.110, 1995, pp123–137.
[9]	M. A. Hossain, M. A. Alim, D. A. S. Rees, ''The effect of radiation on free convection flow from a porous vertical plate,'' International Journal of Heat and Mass Transfer, Vol.42, No.1, 1999, pp181-191.
[10]	K. Vejravelu, A. Hadjinicolaou, '' Heat transfer in a viscous fluid over a stretching sheet with viscous dissipation and internal heat generation,'' International Communications in Heat and Mass Transfer, Vol.20, No.3, 1993, pp417-430.
[11]	M. M. Molla, M. A. Hossain, M. A. Taher, ''Magnetohydrodynamic natural convection flow on a sphere with uniform heat flux in presence of heat generation,'' Acta Mechanica, Vol.186, 2006, pp75-86.
[12]	H.B. Keller, ''Numerical methods in boundary layer theory,'' Annual Review of Fluid Mechanics, January 1978, 417-433.
[13]	Özisik M. Necati, ''Radiative Transfer and Interactions with Conduction and Convection,'' New York: John Wiley, 1973.
[14]	V.P. Carey, J.C. Mollendorf, ''Natural convection in liquid with temperature dependent viscosity,'' Proceeding of 6th International Heat Transfer Conference, Toronto, 2, 1978, pp. 211–217.
[15]	T. Cebeci, P. Bradshaw, ''Physical and Computational Aspects of Convective Heat Transfer,'' Springer, New York, 1984.

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Amena Ferdousi, M. Mostafizur Rahman, Mohammad Salek Parvez, M. A. Alim. (2013). The Effect of Radiation on Natural Convection Flow of Fluid with Variable Viscosity from a Porous Vertical Plate in Presence of Heat Generation. Applied and Computational Mathematics, 2(2), 54-63. https://doi.org/10.11648/j.acm.20130202.16

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ACS Style

Amena Ferdousi; M. Mostafizur Rahman; Mohammad Salek Parvez; M. A. Alim. The Effect of Radiation on Natural Convection Flow of Fluid with Variable Viscosity from a Porous Vertical Plate in Presence of Heat Generation. Appl. Comput. Math. 2013, 2(2), 54-63. doi: 10.11648/j.acm.20130202.16

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AMA Style

Amena Ferdousi, M. Mostafizur Rahman, Mohammad Salek Parvez, M. A. Alim. The Effect of Radiation on Natural Convection Flow of Fluid with Variable Viscosity from a Porous Vertical Plate in Presence of Heat Generation. Appl Comput Math. 2013;2(2):54-63. doi: 10.11648/j.acm.20130202.16

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@article{10.11648/j.acm.20130202.16,
  author = {Amena Ferdousi and M. Mostafizur Rahman and Mohammad Salek Parvez and M. A. Alim},
  title = {The Effect of Radiation on Natural Convection Flow of Fluid with Variable Viscosity from a Porous Vertical Plate in Presence of Heat Generation},
  journal = {Applied and Computational Mathematics},
  volume = {2},
  number = {2},
  pages = {54-63},
  doi = {10.11648/j.acm.20130202.16},
  url = {https://doi.org/10.11648/j.acm.20130202.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20130202.16},
  abstract = {This paper presents a new extension for the effect of radiation on natural convection flow with variable viscosity from a porous vertical plate in presence of heat generation. The governing boundary layer equations are first transformed into a non dimensional form and the resulting non linear system of partial differential equations are then solved numerically using finite difference method together with Keller-Box scheme. The numerical results show that the variable viscosity affects the surface shear stress and the rate of heat transfer, which are here in terms of skin friction coefficient and local Nusselt number. It affects velocity as well as temperature profiles also. These are shown graphically and tabular form for a selection of parameters set of consisting of viscosity variation parameter, heat generation parameter Q, radiation effect Rd , Prandtl number Pr},
 year = {2013}
}

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TY  - JOUR
T1  - The Effect of Radiation on Natural Convection Flow of Fluid with Variable Viscosity from a Porous Vertical Plate in Presence of Heat Generation
AU  - Amena Ferdousi
AU  - M. Mostafizur Rahman
AU  - Mohammad Salek Parvez
AU  - M. A. Alim
Y1  - 2013/05/30
PY  - 2013
N1  - https://doi.org/10.11648/j.acm.20130202.16
DO  - 10.11648/j.acm.20130202.16
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 54
EP  - 63
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20130202.16
AB  - This paper presents a new extension for the effect of radiation on natural convection flow with variable viscosity from a porous vertical plate in presence of heat generation. The governing boundary layer equations are first transformed into a non dimensional form and the resulting non linear system of partial differential equations are then solved numerically using finite difference method together with Keller-Box scheme. The numerical results show that the variable viscosity affects the surface shear stress and the rate of heat transfer, which are here in terms of skin friction coefficient and local Nusselt number. It affects velocity as well as temperature profiles also. These are shown graphically and tabular form for a selection of parameters set of consisting of viscosity variation parameter, heat generation parameter Q, radiation effect Rd , Prandtl number Pr
VL  - 2
IS  - 2
ER  -

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Author Information

Amena Ferdousi

Faculty of Electronics and Electrical Engineering, Eastern University, Dhaka, Bangladesh
M. Mostafizur Rahman

Department of Computer Science and Engineering, Daffodil International University, Dhaka, Bangladesh
Mohammad Salek Parvez

Department of Natural Sciences, Daffodil International University, Dhaka, Bangladesh
M. A. Alim

Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh

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APA Style

Amena Ferdousi, M. Mostafizur Rahman, Mohammad Salek Parvez, M. A. Alim. (2013). The Effect of Radiation on Natural Convection Flow of Fluid with Variable Viscosity from a Porous Vertical Plate in Presence of Heat Generation. Applied and Computational Mathematics, 2(2), 54-63. https://doi.org/10.11648/j.acm.20130202.16

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ACS Style

Amena Ferdousi; M. Mostafizur Rahman; Mohammad Salek Parvez; M. A. Alim. The Effect of Radiation on Natural Convection Flow of Fluid with Variable Viscosity from a Porous Vertical Plate in Presence of Heat Generation. Appl. Comput. Math. 2013, 2(2), 54-63. doi: 10.11648/j.acm.20130202.16

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AMA Style

Amena Ferdousi, M. Mostafizur Rahman, Mohammad Salek Parvez, M. A. Alim. The Effect of Radiation on Natural Convection Flow of Fluid with Variable Viscosity from a Porous Vertical Plate in Presence of Heat Generation. Appl Comput Math. 2013;2(2):54-63. doi: 10.11648/j.acm.20130202.16

Copy | Download

@article{10.11648/j.acm.20130202.16,
  author = {Amena Ferdousi and M. Mostafizur Rahman and Mohammad Salek Parvez and M. A. Alim},
  title = {The Effect of Radiation on Natural Convection Flow of Fluid with Variable Viscosity from a Porous Vertical Plate in Presence of Heat Generation},
  journal = {Applied and Computational Mathematics},
  volume = {2},
  number = {2},
  pages = {54-63},
  doi = {10.11648/j.acm.20130202.16},
  url = {https://doi.org/10.11648/j.acm.20130202.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20130202.16},
  abstract = {This paper presents a new extension for the effect of radiation on natural convection flow with variable viscosity from a porous vertical plate in presence of heat generation. The governing boundary layer equations are first transformed into a non dimensional form and the resulting non linear system of partial differential equations are then solved numerically using finite difference method together with Keller-Box scheme. The numerical results show that the variable viscosity affects the surface shear stress and the rate of heat transfer, which are here in terms of skin friction coefficient and local Nusselt number. It affects velocity as well as temperature profiles also. These are shown graphically and tabular form for a selection of parameters set of consisting of viscosity variation parameter, heat generation parameter Q, radiation effect Rd , Prandtl number Pr},
 year = {2013}
}

Copy | Download

TY  - JOUR
T1  - The Effect of Radiation on Natural Convection Flow of Fluid with Variable Viscosity from a Porous Vertical Plate in Presence of Heat Generation
AU  - Amena Ferdousi
AU  - M. Mostafizur Rahman
AU  - Mohammad Salek Parvez
AU  - M. A. Alim
Y1  - 2013/05/30
PY  - 2013
N1  - https://doi.org/10.11648/j.acm.20130202.16
DO  - 10.11648/j.acm.20130202.16
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 54
EP  - 63
PB  - Science Publishing Group
SN  - 2328-5613
UR  - https://doi.org/10.11648/j.acm.20130202.16
AB  - This paper presents a new extension for the effect of radiation on natural convection flow with variable viscosity from a porous vertical plate in presence of heat generation. The governing boundary layer equations are first transformed into a non dimensional form and the resulting non linear system of partial differential equations are then solved numerically using finite difference method together with Keller-Box scheme. The numerical results show that the variable viscosity affects the surface shear stress and the rate of heat transfer, which are here in terms of skin friction coefficient and local Nusselt number. It affects velocity as well as temperature profiles also. These are shown graphically and tabular form for a selection of parameters set of consisting of viscosity variation parameter, heat generation parameter Q, radiation effect Rd , Prandtl number Pr
VL  - 2
IS  - 2
ER  -

Copy | Download