Mathematical Analysis of Effect of Viscous dissipation on Transient MHD convective Heat transfer through a porous medium in a vertical channel
Abstract
We analysed the unsteady MHD free connective flow through a porous medium in a vertical channel with the unsteadiness in the flow is due to the travelling thermal wave imposed on the wall y = L. The coupled MHD equations governing the flow and heat transfer have been solved by using a perturbation technique with the aspect ratio as perturbation parameter. The expression for the velocity, the temperature, the shear stress and the rate of heat transfer are derived and are analysed for different variations of the governing parameters G,R,a and g.
References
[2] Barletta,Antonio , Combined forced and free convection with viscous dissipation in a vertical circular duct., Int.J.Heat and Mass Transfer,42,No.12,pp.2243-2253,(1999).
[3] Bulent Yesilata , Effect of viscous dissipation on polymeric flows between two rotating Coaxial parallel discs., Int.Comm. Heat and Mass Transfer, 29, No.29, No.5,
pp.589- 600,(2002).
[4] El-Hakein, M.A., Viscous dissipation effects on MHD free convection flow over a non-isothermal surface in a micropolar fluid. Int.Comm.Heat and Mass Transfer ,27, No,4 pp.581-590,(2000).
[5] Israel-Cookey ,C. , Influence of viscous dissipation and radiation on unsteady MHD free convection flow past an infinite heated vertical plate in a porous medium with time-dependent suction.,Int.J.Heat and Mass Transfer,46,No.13,pp.2305-2311,(2003).
[6] Rossie di Schio,Baletta,A,Hahne,E and Spindler,K , Analysis of the effect of viscous dissipation for laminar flow in Stadium –shaped ducts, Int.Comm.Heat Mass Transfer,28, No.4, pp.449-459,(2001).
[7] Chen, C. H. Laminar mixed convection adjacent to vertical, continuously stretching sheets. Heat and Mass Transfer, 33(5-6), 471–476 (1998)
[8] Elbashbeshy, E. M. A. and Bazid, M. A. A. Heat transfer over an unsteady stretching surface.Heat and Mass Transfer, 41(1), 1–4 (2004)
[9] Sharidan, S., Mahmood, T., and Pop, I. Similarity solutions for the unsteady boundary layer flow and heat transfer due to a stretching sheet. International Journal of Applied Mechanics and Engineering, 11(3), 647–654 (2006)
[10] Tsai, R., Huang, K. H., and Huang, J. S. Flow and heat transfer over an unsteady stretching surface with a non-uniform heat source. International Communications in Heat and Mass Transfer,35(10), 1340–1343 (2008)
[11] Ishak, A., Nazar, R., and Pop, I. Hydromagnetic flow and heat transfer adjacent to a stretching vertical sheet. Heat and Mass Transfer, 44(8), 921–927 (2008)
[12] Aziz, A. A similarity solution for laminar thermal boundary layer over a flat plate with a convective surface boundary condition. Communications in Nonlinear Science and Numerical Simulation,14(4), 1064–1068 (2009)
[13] Chen, C. H. Combined heat and mass transfer in MHD free convection from a vertical surface with Ohmic heating and viscous dissipation. International Journal of Engineering Science, 42(7),699–713 (2004)
[14] Pal, D. and Hiremath, P. S. Computational modelling of heat transfer over an unsteady stretching surface embedded in a porous medium. Meccanica, 45(3), 415–424 (2010)
[15] Veena, P. H., Subhas-Abel, M., Rajagopal, K., and Pravin, V. K. Heat transfer in a visco-elastic,fluid past a stretching sheet with viscous dissipation and internal heat generation. Zeitschrift f¨ur,Angewandte Mathematik und Physik (ZAMP), 57(3), 447–463 (2006)
[16] Palani, G. and Ganesan, P. Heat transfer effects on dusty gas flow past a semi-infinite inclined,plate. Forsch Ingenieurwes, 71, 223–230 (2007)
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