Abstract
MODELLING FLOW CHARACTERISTICS IN UNSTEADY MHD TWO--PHASE NANOFLUID FLOW AND HEAT TRANSFER BETWEEN PARALLEL PLATES USING SEMI-ANALYTICAL SCHEME
*Liberty Ebiwareme, Kubugha Wilcox Bunonyo and Onengiyeofori Anthony Davies
ABSTRACT
The aim of this article is to investigate heat transfer and flow of unsteady MHD two-phase nanofluid transversed between two parallel plates. Mathematical formulation and analysis have been performed in the presence of magnetic field. The governing flow partial differential equations corresponding to the mass conservation, momentum, energy, and concentration are reduced to a set of nonlinear differential equations using self-similar transformations. Resulting nonlinear system is solved for the approximate analytical solution using semi-analytical iteration method. Embedded parameters of interest like Eckert number, Squeeze number, Prandtl number, Schmidt number, Brownian motion parameter, thermophoresis parameter and Hartmann number are examined in detail and given physical interpretation using graphs and tables. Analysis of flow characteristics when compared with available results in literature showed excellent agreement. Furthermore, the presence of Hartmann and Squeeze number decreased the velocity profile of the fluid. Temperature profile is increased with increase in Eckert and Prandtl numbers but decelerate with increased Squeeze and Hartmann numbers, whereas concentration profile and Schmidt vary correspondingly.
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