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
Volume 2, Issue 2, April 2013, Pages: 54-63
Received: May 16, 2013; Published: May 30, 2013
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Authors
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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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
Keywords
Radiation Effect, Porous Plate, Heat Generation, Natural Convection, Variable Viscosity
To cite this article
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, Applied and Computational Mathematics. Vol. 2, No. 2, 2013, pp. 54-63. doi: 10.11648/j.acm.20130202.16
References
[1]
J. H. Merkin, ''Free convection with blowing and suction,'' International journal of heat and mass transfer, Vol 15, No.1, 1972, pp989-999.
[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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