dc.description.abstract | In this paper, the unsteady two-dimensional Jeffery-Hamel flow of an incompressible non-Newtonian fluid, with nonlinear viscosity and skin friction, flowing through
a divergent conduit in the presence of a constant applied magnetic field in the direction perpendicular to the fluid motion is studied. The resulting nonlinear partial
differential equations governing this flow problem are reduced into a system of nonlinear ordinary differential equations using similarity transformation. The resulting
boundary value problem is solved numerically using the collocation method and
implemented in MATLAB using the bvp4c inbuilt function to obtain the numerical solution. The effect of varying Reynolds number Re, Hartmann number Ha,
Prandtl number Pr, Eckert number Ec, and unsteadiness parameter λ on the fluid
velocity, fluid temperature, skin-friction, and heat transfer rate are presented in form
of graphs and tables; and are discussed. From the results, it is noted that there aresignificant effects of pertinent parameters on the flow variables. This study provides
useful information for engineering, technological, and industrial applications such
as in hydromagnetic power generators. | en_US |