Thermal diffusion and chemical reaction effects on unsteady flow past a vertical porous plate with heat source dependent in slip flow regime
DOI:
https://doi.org/10.3329/jname.v13i1.20773Keywords:
Free convection, heat and mass transfer, slip flow regime, thermal diffusion, heat source, chemical reactionAbstract
The present study investigates an analytical solution of free convective unsteady fluid flow in presence of thermal diffusion and chemical reaction effects past a vertical porous plate with heat source dependent in slip flow regime. The plate is assumed to move with a constant velocity in the direction of fluid flow, while free stream velocity is assumed to follow exponentially increasing small perturbation law. The velocity, temperature and concentration profiles are presented graphically for different values of the parameters entering into the problem. Finally the effects of pertinent parameters on the skin friction coefficient, Nusselt number and Sherwood numbers distributions are derived and have shown through graphs and tables by using perturbation technique.
Downloads
247
208
References
Chambre P L and Young J D (1958), on the diffusion of a chemically reactive species in a laminar boundary layer flow. Physics of Fluids 1, 48 -54.http://dx.doi.org/10.1063/1.1724336
Das U N, Deka R K and Soundalgekar V M (1994), Effects of mass transfer on flow past an impulsively started infinite vertical plate with constant heat flux and chemical reaction. Forschung in ingenieurwesen 60, 284-287. http://dx.doi.org/10.1007/BF02601318
Anjalidevi S P and Kandasamy R (2000), Effects of chemical reaction heat and mass transfer on MHD flow past a semi-infinite plate. Z.Angew. Math. Mech., 80:697-701.
Muthucumaraswamy R and Ganesan P (2001), First order chemical reaction on flow past an impulsively started vertical plate with uniform heat and mass flux. Acta Mechanica 147, 45-57. http://dx.doi.org/10.1007/BF01182351
Sharma PR and Pankaj Mathur (1995), Steady laminar free convection flow of an electrically conducting fluid along a porous hot vertical plate in the presence of heat source/sink. Indian J. Pure Appl. Math., 26(11), pp. 1125.
Varshney NK and Shilendra Kumar (2004), Effect of thermal diffusion on steady laminar free convective flow along a moving porous hot vertical plate in the presence of heat source with mass transfer. Acta Ciencia Indica, XXX M No.2, pp.489
Basant Kumar Mishra (2005), Heat transfer in MHD free convection flow over an infinite vertical plate with time-dependent suction. Acta Ciencia Indica, XXXI M No.2, pp.371.
Sharma PR and Singh G (2008), Unsteady MHD free convective flow and heat transfer along a vertical porous plate with variable suction and internal heat generation. Int. J. of. Appl. Math and Mech., 4(5), pp.1.
Sharma. P K and Chaudary. R C(2003), Effect of variable suction on transient free convection viscous incompressible flow past a vertical plate with periodic temperature variations in slip-flow regime, Emirates J. Engineering Research, Vol. 8, PP 33-38.
Sharma. P K(2005), Fluctuating thermal and mass diffusion on unsteady free convective flow past a vertical plate in slip-flow regime, Latin American Applied Research, Vol.35, PP 313-319.
Pal. D and Talukdar B (2010), Perturbation analysis of unsteady Magneto hydrodynamic convective heat and mass transfer in a boundary layer slip flow past a vertical permeable plate with thermal radiation and chemical reaction, Communications in Nonlinear Science and Numerical Simulation,15,1813-1830. DOI: 10.1016/j.cnsns.2009.07.011
Das, S. S. and Mitra, M.,(2009), Unsteady mixed convective MHD flow and mass transfer past an accelerated infinite vertical plate with suction, Ind. J. Sci. Tech., Vol. 2, No. 5, pp. 18 22.
Das, S. S.Satapathy, A., Das, J. K. and Panda, J. P. (2009), Mass transfer effects on MHD flow and heat transfer past a vertical porous plate through a porous medium under oscillatory suction and heat source, Int. J. Heat Mass Transfer, Vol. 52, pp. 5962 5969. DOI: 10.1016/j.ijheatmasstransfer.2009.04.038
Das, S. S., Satapathy, A., Das, J. K. and Sahoo, S. K. (2007), Numerical solution of unsteady free convective MHD flow past an accelerated vertical plate with suction and heat flux, J. Ultra Sci. Phys. Sci., Vol. 19, No. 1, pp. 105 112.
Das, S. S., Sahoo, S. K. and Dash, G. C., (2006), Numerical solution of mass transfer effects on an unsteady flow past an accelerated vertical porous plate with suction, Bull. Malays. Math. Sci. Soc., Vol. 29, No. 1, pp. 33 42.
Gireesh kumar, J., Satyanarayana, P. V. and Ramakrishna, S., (2009), Effects of chemical reaction and mass transfer on MHD unsteady free convection flow past an infinite vertical plate with constant suction and heat sink, J .Ultra Scientist, Vol. 21, No. 3, pp. 12 28.
Hayat, T., Mustafa, M. and Pop, I., (2010), Heat and mass transfer for Soret and Dufour effects on mixed convection boundary layer flow over a stretching vertical surface in a porous medium filled with a visco elastic fluid, Communications in Nonlinear Science and Numerical Simulation, Vol. 15, No. 5, pp. 1183 1196
Hemant Poonia and R. C. Chaudhary, (2010), MHD free convection and mass transfer flow over an infinite vertical porous plate with viscous dissipation, Theoret. Appl. Mech., Vol. 37, No. 4, pp. 263 287.
Satya Sagar Saxena and G. K. Dubey,(2009), Unsteady MHD heat and mass transfer free convection flow of polar fluids past a vertical moving porous plate in a porous medium with heat generation and thermal diffusion, Advances in Applied Science Research,2 (4):259-278
Rushi kumar B (2013), MHD boundary layer flow on heat and mass transfer over a stretching sheet with slip effect. Journal of Naval Architecture and marine engineering ,vol10,No2,16-26
Downloads
Published
How to Cite
Issue
Section
License
Please download the Copyright Transfer Agreement and send it after duly filled in.
Link to FaceBook
