Numerical Study of Darcy Forchheimer Unsteady Mixed Convection Flow of Nanofluid with An Exponentially Decreasing Free-Stream Velocity Distribution

Abstract

The present study is on mixed convection nanofluid flow with an exponentially decreasing velocity distribution embedded in a Darcy Forchheimer permeable medium. The nanofluid saturates the porous medium through Darcy Forchheimer relation. In a high flow situation the effect of inertia is necessary to be considered by including an additional velocity squared term in the momentum equation known as Forchheimer extension. The equations governing the flow are made dimensionless using suitable nonsimilarity transformation. The resulting coupled nonlinear partial differential equations are solved by quasilinearization technique in combination with the implicit finite difference method. Numerical computations are done for different parameters. The effect of Forchheimer, porosity, Lewis number, thermophoresis, and Brownian motion parameters on the velocity, temperature, and concentration gradient are graphically studied for the considered unsteady nanofluid flow and compared with the existing results and are found to be in good agreement. © 2020 by Begell House, Inc.