Effects of viscous dissipation on natural convection flow along a sphere with radiation and heat generation
DOI:
https://doi.org/10.3329/jname.v10i1.12809Keywords:
Natural convection, viscous dissipation, radiation, heat generation, skin-friction, Nusselt numberAbstract
The effects of viscous dissipation on free convection flow along a sphere with radiation and heat generation have been investigated in this paper. The governing equations with associated boundary conditions for this phenomenon are converted to dimensionless forms using a suitable transformation. The transformed non-linear equations are then solved using the implicit finite difference method. Numerical results of the velocity and temperature profiles, skin friction coefficient and surface temperature profiles for different values of the of viscous dissipation parameter Vd ( 0.0 to 4.0), radiation parameter Rd (0.0 to 1.0), the Prandlt number Pr (0.72 to7.0)and the heat generation parameter Q (0.2 to 0.6) are presented graphically. Detailed discussion is given for the effects of the aforementioned parameters. Significant effect is found in the velocity and temperature profiles, skin friction coefficient and surface temperature distribution for the Prandtl number, heat generation and radiation parameters.
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References
Gebhart, B., Effects of viscous dissipation in natural convection, J. Fluid Mech., Vol. 14, pp. 225-232, (1962).
Gebhart, B. and Mollendorf, J., Viscous dissipation in external natural convection flows, J. Fluid Mech., Vol.38, pp. 97-107, (1969).
Zakerullah, M., Viscous dissipation and pressure work affects in axisymmetric natural convection flows, J. Bangladesh Math. Soc. (Ganit) Vol. 2. No.1, pp.43-, (1972).
Huang, M.J. and Chen, C.K., Laminar free convection from a sphere with blowing and suction, J.Heat Transfer,Vol.109,pp.529-532,(1987).
Nazar, R., Amin, N., Grosan,T. and Pop , I., Free convection boundary layer on isothermal sphere in a micropolar fluid , Heat Transfer,29,Proceeding of the twelve International conference (2002).
Nazar, R., Amin, N., Grosan, T. and Pop, I., Free convection boundary layer on isothermal sphere in a micropolar fluid, Int.Comm. Heat Mass Transfer, 29(3) ,pp.377-386,(2002).
Molla, M. M., Hossain, M. A. and Yao, L .S., Natural convection flow along a vertical wavy surface with heat generation/absorption, International Journal of Thermal Science.43(2004)157-163.
Molla, M. M., Taher, M. A., Chowdhury, M. M. K. and Hossain, M. A., Magneto hydrodynamic natural convection flow on a sphere in presence of heat generation, Nonlinear Analysis: Modeling and Control, Vol. 10, No 4, pp. 349-363, (2005).
Alam, M. M., Alim, M .A., and Chowdhury, M .M .K .,Effect of pressure stress work & viscous dissipation in natural convection flow along a vertical flat plate with heat conduction, Journal of Naval Architecture and Marine Engineering , December(2006)
Molla, M. M., Hossain, M. A., Paul and Manosh .C., Natural convection flow from an isothermal horizontal circular cylinder in presence of heat generation, International Journal of Engineering Science 44(13-14):949-958.(2006)
Alam, M. M., Alim, M .A., and Chowdhury, M .M .K .,Viscous dissipation effects on MHD natural convection flow along a sphere, Journal of Mechanical Engineering,vol.ME36,DEC.(2006)
Alam, M. M., Alim, M .A., and Chowdhury, M .M .K .,Viscous dissipation effects on MHD natural convection flow over a sphere in the presence of heat generation, Nonlinear Analysis: Modelling and Control, Vol. 12, No 4, pp. 447-459, (2007).
Akhter, Tahmina and Alim, M.A., Effects of Radiation on natural convection flow around a sphere with uniform surface heat flux, Journal of Mechanical Engineering,vol.ME39,No.1,June.(2008).
Alim M. A., Rahman, M. M. and Aktar, S., Viscous dissipation effects on natural convection flow along a sphere with radiation heat loss, the 4th BSME-ASME International Conference on Thermal Engineering (27-29 December), 2008, Dhaka, Bangladesh.
Keller, H.B., Numerical methods in boundary layer theory, Annual Rev. Fluid Mechanics, pp. 417433, (1978).
Cebeci, T. and Bradshaw, P., Physical and Computational Aspects of Convective Heat Transfer, Springer, New York, (1984)
Siegel, R. and Howell , J.R.,Thermal Radiation Heatb Transfer, McGraw-Hill, New York,(1972)
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