MHD Mixed Convective Flow of a Second Grade Fluid in the Presence of Nonlinearized Thermal Radiation, Thermal diffusion and Diffusion thermo Effects
1 Department of Mathematical Sciences, Federal University, Dutsin-Ma, P.M.B. 5001, Dutsin-Ma, Katsina State, Nigeria
2 2Department of Mathematics, Kano University of Science and Technology, P.M.B. 3244, Wudil, Kano State, Nigeria
* Corresponding author: ibaoku@fudutsinma.edu.ng
2 2Department of Mathematics, Kano University of Science and Technology, P.M.B. 3244, Wudil, Kano State, Nigeria
* Corresponding author: ibaoku@fudutsinma.edu.ng
Abstract
The implicit finite difference method of Crank-Nicolson type
is employed to examine heat and mass transfer in a transient
magnetohydrodynamic mixed convective flow of a viscoelastic
second grade fluid past a vertical porous plate in the presence of
nonlinearized thermal radiation, thermal diffusion and diffusion
thermo effects. The governing coupled nonlinear time-based
partial differential equations are non-dimensionalized by using
appropriate dimensionless variables to obtain the dimensionless
highly nonlinear partial differential forms of momentum, energy
and species concentration equations. These equations are solved
numerically in the presence of buoyancy force. The influences
of different emerging parameters such as the suction parame
ter, second grade parameter, Prandtl number, Lewis number,
thermal radiation parameter, temperature difference parameter,
Dufour number, Soret number, mixed convection parameter
and concentration buoyancy parameter on velocity, temperature
and species concentration profiles are plotted and discussed.
Keywords
MHD; Mixed Convection; Second Grade; Nonlinear Thermal Radiation; Thermal Diffusion; Diffusion thermo.
How to Cite
Baoku, I. G., & Falade, K. I. (2017). MHD Mixed Convective Flow of a Second Grade Fluid in the Presence of Nonlinearized Thermal Radiation, Thermal diffusion and Diffusion thermo Effects. Nigerian Journal of Mathematics and Applications, 26(1), 173−190.
I. G. Baoku, and K. I. Falade, "MHD Mixed Convective Flow of a Second Grade Fluid in the Presence of Nonlinearized Thermal Radiation, Thermal diffusion and Diffusion thermo Effects," Nigerian Journal of Mathematics and Applications, vol. 26, no. 1, pp. 173−190, September 2017.