Abstract

In the present article, the effect of Joule heating and thermophoresis on unsteady natural convection flow of electrically conducting fluid along a vertical plate is analyzed. In addition, double stratification and a Darcy–Brinkman porous medium are considered. Initially, the governing nonlinear time-dependent equations are transformed into a set of dimensionless equations by using nondimensional transformations and then solved numerically by an accurate, efficient, and unconditionally stable implicit finite difference scheme. The behavior of flow characteristics (specifically, Nusselt number, Sherwood number, and local and average skin friction) with pertinent flow parameters is discussed through graphs. The outcome of the exploration may be beneficial for applications of engineering, biotechnology, and chemical industries.

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