Abstract: In the present study, a numerical analysis on free convection Casson fluid flow from a spinning cone in non-Darcy porous medium with radiation, partial slip, cross diffusion and viscous dissipation is considered. The surface of the cone is heated under linear surface heat flux (LSHF). The boundary layer partial differential equations were converted into a system of ordinary differential equations which were then solved using spectral relaxation method (SRM). In this study, we demonstrate the accuracy of the SRM as an alternative method in solving boundary value problems. The results obtained in this study were compared with others in the literature and found to be in excellent agreement. The boundary layer velocity, temperature and concentration profiles are computed for different values of the physical parameters. In particular, the effect of the Casson parameter, spin parameter, Eckert number, Soret number, velocity slip factor, thermal slip factor and concentration slip factor on velocity, temperature and concentration profiles was studied. It is shown that increasing the Casson parameter decrease velocity profiles. Increasing the velocity slip factor tend to assist the flow, while increasing the thermal and concentration slip factors tend to reduce temperature and concentration profiles respectively.
Keywords: Casson fluid, spinning cone, partial slip, Spectral relaxation method REFERENCES [1] Narayana M, Awad F.G, Sibanda P, Free magneto hydrodynamic flow and convection from a vertical spinning cone with cross diffusion effects, Applied Mathematical Modelling, 37, (2013), pp. 2662-2678. [1] Narayana M, Awad F.G, Sibanda P, Free magneto hydrodynamic flow and convection from a vertical spinning cone with cross diffusion effects, Applied Mathematical Modelling, 37, (2013), pp. 2662-2678. [2] Pramanic S, Casson fluid flow and heat transfer past an exponentially porous stretching surface in the presence of thermal radiation,Ain Shams Engineering journal, 5, (2014), pp. 205-212 . [3] Ece C.M, Free convection flow about a cone under mixed thermal boundary conditions and a magnetic field, Applied Mathematical Modelling, 29, (2005), pp. 1121-1134. [4] Cheng C.Y, Natural convection boundary layer flow in a micropolar fluid over a vertical permeable cone with variable wall temperature,International Communications in Heat and Mass Transfer, 38, (2011), pp. 429-433. [5] Cheng C.Y, Natural convection heat transfer of Non-Newtonian fluids in a porous media from a vertical cone under mixed boundary conditions,International communications in Heat and Mass Transfer,36, (2009), pp. 693-697. [6] Cheng C.Y, Soret and Dufour’s effects on free convection boundary layer over a vertical cylinder in a saturated porous medium, International communications in Heat and Mass Transfer,37,(2010), pp. 796-800. [7] Alim M. A, Alam M, Chowdhury M.K, Pressure work effect on Natural convection flow from a vertical circular cone with suction and nonuniform surface temperature, Journal of Mechanical Engineering,ME36, (2006), pp. 6-11. [8] Narayana M, Sibanda P, On the solution of double diffusive convective flow due to a cone by a linearization method, Journal of Applied Mathematics,
Cite this paper
Gilbert Makanda, Precious Sibanda. (2016) Numerical Analysis of Free Convection Casson Fluid Flow from a Spinning Cone in non-Darcy Porous Medium with Partial Slip and Viscous Dissipation Effects. International Journal of Mathematical and Computational Methods, 1 , 221-230

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