Heat and Mass Transfer Study of Multiphase Flow of Viscous and Viscoelastic Fluids

Abstract

As per this study, we investigate the flow behavior of two immiscible, electrically conducting fluids - one viscous fluid and one viscoelastic fluid - within a porous medium between two infinite horizontal plates. The research examines how these two fluids flow, given their different properties, in a confined porous space. As per the configuration, there are two fluid layers: the lower layer contains viscous fluid, and the upper layer contains viscoelastic fluid. As per the setup, these layered arrangements experience heat and mass transfer effects due to the various physical forces acting on them. The governing equations for flow, momentum, and energy transport are formulated as nonlinear coupled partial differential equations. This system itself describes the transport phenomena further through mathematical modeling. These equations are actually solved using mathematical methods with proper boundary conditions. The solutions definitely follow standard analytical approaches. We observe that the final expressions contain only coefficients, which we evaluate numerically for different parameter combinations. Also, basically, the coefficients are analyzed in detail using the same tabulated data format. Further, the changes in velocity and temperature profiles are shown in graphs to study how each fluid region itself responds to the physical parameters.