Abstract
A numerical study on unsteady, MHD, chemically reacting, free convective, and non-Darcy flow of Casson fluid over a cone placed vertically is presented. The flow regime is influenced by double dispersion effect. The Crank–Nicolson technique is employed to solve the coupled nonlinear partial differential equations. Graphical results are obtained for various controlling parameters present in the governing equations of the problem. The graphical results are very useful to analyze the influence of various controlling parameters on Casson fluid flow. The average skin friction, rate of heat transfer coefficient, and rate of mass transfer coefficient for sundry parameters have been presented in tables below. Results indicate that enhancing the Casson fluid parameter tends to decelerate fluid flow by increasing the plastic dynamic viscosity, whereas it enhances the shear stress in the flow regime. The double dispersion effects play a vital role on sensitive controlling of energy consumptions and species concentration in a small region near to cone and plate.
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References
Afify, A.A.: Effects of variable viscosity on non-Darcy MHD free convection along a non-isothermal vertical surface in a thermally stratified porous medium. Appl. Math. Model. 31, 1621–1634 (2007)
Aly, A.M., Ahmed, S.E.: An incompressible smoothed particle hydrodynamics method for natural/mixed convection in a non-Darcy anisotropic porous medium. Int. J. Heat Mass Transf. 77, 1155–1168 (2014)
Animasaun, I.L., Adebile, E.A., Fagbade, A.I.: Casson fluid flow with variable thermo-physical property along exponentially stretching sheet with suction and exponentially decaying internal heat generation using the homotopy analysis method. J. Nigerian Math. Soc. (2015). doi:10.1016/j.jnnms.2015.02.001
Chamkha, A.J.: Unsteady MHD convective heat and mass transfer past a semi-infinite vertical permeable moving plate with heat absorption. Int. J. Engrg Sci. 42, 217–30 (2004)
Hayat, T., Asad, S., Mustafa, M., Alsaedi, A.: MHD stagnation-point flow of Jeffrey fluid over a convectively heated stretching sheet. Comput. Fluids 108, 179–185 (2015)
Kairi, R.R., Murthy, P.V.S.N.: Effect of double dispersion on mixed convection heat and mass transfer in a non-Newtonian fluid-saturated non-Darcy porous medium. J. Porous Med. 13, 749–757 (2010)
Mukhopadhyay, S., Vajravelu, K.: Diffusion of chemically reactive species in Casson fluid flow over an unsteady permeable stretching surface. J. Hydrodyn. 25, 591–598 (2013)
Murthy, P.V.S.N.: Effect of double dispersion on mixed convection heat and mass transfer in non-Darcy porous medium. ASME J. Heat Transfer 122, 476–484 (2000)
Mustafa, M., Hayat, T., Pop, I., Aziz, A.: Unsteady boundary layer flow of a Casson fluid due to an impulsively started moving flat plate. Heat Transf. Asian Res. 40, 563–576 (2011)
Nield, D.A., Bejan, A.: Convection in Porous Media. Springer-Verlag, Berlin (1992)
Narayana, P.V.S., Venkateswarlu, B., Venkataramana, S.: Effects of Hall current and radiation absorption on MHD micropolar fluid in a rotating system. Ain Shams Engrg. J. 4, 843–854 (2013)
Pal, D., Mondal, H.: 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. Commun. Nonlinear Sci. Numer. Simulat. 15, 1553–1564 (2010)
Pal, D., Mondal, H.: Influence of chemical reaction and thermal radiation on mixed convection heat and mass transfer over a stretching sheet in Darcian porous medium with Soret and Dufour effects. Energ. Convers. Manage. 62, 102–108 (2012)
Pramanik, S.: Casson fluid flow and heat transfer past an exponentially porous stretching surface in presence of thermal radiation. Ain Shams Engrg. J. 5, 205–212 (2014)
Rashidi, M.M., Rahimzadeh, N., Ferdows, M., Uddin, M.J., Beg, O.A: Group theory and differential transform analysis of mixed convective heat and mass transfer from a horizontal surface with chemical reaction effects. Chem. Engrg. Commun. 199, 1012–1043 (2012)
Rushikumar, B., Sivaraj, R.: MHD viscoelastic fluid non-Darcy flow over a vertical cone and a flat plate. Int. Commun. Heat Mass Transf. 40, 1–6 (2013)
Sivaraj, R., RushiKumar, B.: Unsteady MHD dusty viscoelastic fluid Couette flow in an irregular channel with varying mass diffusion. Int. J. Heat Mass Transfer 55, 3076–3089 (2012)
Sivaraj, R., RushiKumar, B.: Viscoelastic fluid flow over a moving vertical cone and flat plate with variable electric conductivity. Int. J. Heat Mass Transfer 61, 119–128 (2013)
Srinivas, S., Reddy, A.S., Ramamohan, T.R., Shukla, A.K.: Influence of heat transfer on MHD flow in a pipe with expanding or contracting permeable wall. Ain Shams Engrg J. 5, 817–830 (2014)
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Jasmine Benazir, A., Sivaraj, R. (2016). Influence of Double Dispersion on Non-Darcy Free Convective Magnetohydrodynamic Flow of Casson Fluid. In: Pant, M., Deep, K., Bansal, J., Nagar, A., Das, K. (eds) Proceedings of Fifth International Conference on Soft Computing for Problem Solving. Advances in Intelligent Systems and Computing, vol 436. Springer, Singapore. https://doi.org/10.1007/978-981-10-0448-3_44
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DOI: https://doi.org/10.1007/978-981-10-0448-3_44
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