Casson fluid flow over a vertical cone with non-uniform heat source/sink and high order chemical reaction
DOI:
https://doi.org/10.3329/jname.v12i2.25269Keywords:
Finite Difference Method, Soret and Dufour effects, Casson fluid, non-uniform heat source/sink, high order chemical reactionAbstract
The present investigation deals with the study of unsteady, free convective Casson fluid flow over a vertical cone saturated with porous medium in the presence of non-uniform heat source/sink, high order chemical reaction and cross diffusion effects. The numerical computation for the governing equations has been performed using an implicit finite difference method of Crank-Nicolson type. The influence of various physical parameters on velocity, temperature and concentration distributions is illustrated graphically and the physical aspects are discussed in detail. Results indicate that temperature dependent heat source/sink plays a vital role on controlling the heat transfer however the surface-dependent heat source/sink also has notable influence on the heat transfer characteristics. It is to be noted that high order chemical reaction has the tendency to dilute the influence of chemical reaction parameter on the species concentration.
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Abolbashari, M. H., Freidoonimehr, N., Nazari, F. and Rashidi, M. M. (2015): Analytical Modeling of Entropy Generation for Casson Nano-fluid Flow Induced by a Stretching Surface, Advanced Powder Technology, Vol. 26, pp. 542-552. doi:10.1016/j.apt.2015.01.003
Alam, M. S., Rahman, M. M. and Sattar, M. A. (2009): Transient magnetohydrodynamic free convective heat and mass transfer flow with thermophoresis past a radiate inclined permeable plate in the presence of variable chemical reaction and temperature dependent viscosity, Nonlinear Analysis Modeling and Control, Vol. 14, pp. 3-20.
Animasaun, I.L. (2015): Effects of thermophoresis, variable viscosity and thermal conductivity on free convective heat and mass transfer of non-darcian MHD dissipative Casson fluid flow with suction and nth order of chemical reaction, Journal of the Nigerian Mathematical Society, Vol. 34, No. 1, pp. 11-31. doi:10.1016/j.jnnms.2014.10.008
Das, S. S. (2009): Effect of suction and injection on MHD three dimensional Couette flow and heat transfer through a porous medium, Journal of Naval Architecture and Marine Engineering, Vol. 6, pp. 41-51. doi:10.3329/jname.v6i1.2570
Mukhopadhyay, S. and Vajravelu, K. (2013): Diffusion of chemically reactive species in Casson fluid flow over an unsteady permeable stretching surface, Journal of Hydrodynamics, Vol. 25, No. 4, pp. 591-598. doi:10.1016/S1001-6058(11)60400-X
Nandeppanavar, M. M., Vajravelu, K. and Abel, M. S. (2011): Heat transfer in MHD viscoelastic boundary layer flow over a stretching sheet with thermal radiation and non-uniform heat source/sink, Communications in Nonlinear Science and Numerical Simulation, Vol. 16, No. 9, pp. 3578-3590. doi:10.1016/j.cnsns.2010.12.033
Okedoye, A. M. (2014): Unsteady MHD mixed convection flow past an oscillating plate with heat source/sink, Journal of Naval Architecture and Marine Engineering, Vol. 11, pp. 167-176. doi:10.3329/jname.v11i2.6477
Pal, D. and Mondal, H. (2010): Effect of variable viscosity on MHD non-Darcy mixed convective heat transfer over a stretching sheet embedded in a porous medium with Non-uniform heat source/sink, Communications in Nonlinear Science and Numerical Simulation, Vol. 15, No. 6, pp. 1553-1564. doi:10.1016/j.cnsns.2009.07.002
Pal, D. and Mondal, H. (2011): Effects of Soret Dufour, chemical reaction and thermal radiation on MHD non-Darcy unsteady mixed convective heat and mass transfer over a stretching sheet, Communications in Nonlinear Science and Numerical Simulation, Vol. 16, No. 4, pp. 1942-1958. doi:10.1016/j.cnsns.2010.08.033
Postelnicu, A. (2004): Influence of a magnetic field on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects, International Journal of Heat and Mass Transfer, Vol. 47, No. 6-7, pp. 1467- 1472. doi:10.1016/j.ijheatmasstransfer.2003.09.017
Prasad, V. R., Rao, A. S., Reddy, N. B. and Beg, O.A. (2013): Modelling laminar transport phenomena in a Casson rheological fluid form an isothermal sphere with partial slip in a non- Darcy porous medium, Journal of Theoretical and Applied Mechanics, Vol. 40, No. 4, pp. 469-510. doi:10.2298/TAM1304469P
Raju, M. C. and Varma, S. V. K. (2014): Soret effects due to natural convection in a non-Newtonian fluid flow in porous medium with heat and mass transfer, Journal of Naval Architecture and Marine Engineering, Vol. 11, pp. 147-156. doi:10.3329/jname.v11i2.17563
RamReddy, C., Murthy, P. V. S. N., Chamkha, A. J. and Rashad, A. M. (2013): Soret effect on mixed convection flow in a nano-fluid under convective boundary condition, International Journal of Heat and Mass Transfer, Vol. 64, pp. 384-392. doi:10.1016/j.ijheatmasstransfer. 2013.04.032
Rashidi, M. M., Rahimzadeh, N., Ferdows, M., Uddin, M. J. and Beg, O. A. (2012): Group theory and differential transform analysis of mixed convective heat and mass transfer from a horizontal surface with chemical reaction effects, Chemical Engineering Communication, Vol. 199, No. 8, pp. 1012-1043. doi:10.1080/00986445.2011.636850
Rahman, M. M., Uddin, M. J. and Aziz, A. (2009): Effects of variable electric conductivity and non-uniform heat source (or sink) on convective micropolar fluid flow along an inclined flat plate with surface heat flux, International Journal of Thermal Sciences, Vol. 48, pp. 2331-2340. doi:10.1016/j.ijthermalsci.2009.05.003
Rahman, M. M. and Al-Lawatia, M. (2010): Effects of higher order chemical reaction on micropolar fluid flow on a power law permeable stretched sheet with variable concentration in a porous medium, The Canadian Journal of Chemical Engineering, Vol. 88, No. 1, pp. 23-32. doi:10.1002/cjce.20244
RushiKumar, B. and Sivaraj, R. (2013): Heat and mass transfer in MHD viscoelastic fluid flow over a vertical cone and flat plate with variable viscosity, International Journal of Heat and Mass Transfer, Vol. 56, pp. 370-379. doi:10.1016/j.ijheatmasstransfer. 2012.09.001
Sivaraj, R. and RushiKumar, B. (2013): Chemically reacting dusty viscoelastic fluid flow in an irregular channel with convective boundary, Ain Shams Engineering Journal, Vol. 4, pp. 93-101. doi:10.1016/j.asej.2012.06.005
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