Abstract
In this paper, mass transfer and chemical reaction effects on laminar viscous flow through a porous channel with moving or stationary walls are studied. The governing partial differential equations of the physical problem are transformed into a set of coupled nonlinear ordinary differential equations using similarity transformation. The coupled nonlinear ordinary differential equations are solved using differential transform method (DTM). The results obtained through the approximate analytical method are compared with the results of numerical method and high accuracy of the present approximate analytical solution is observed. The valuable achievement of the present study is imbedding a precise and efficient analytical method for the flow of viscous fluid in a porous channel with a chemical reaction. Also, the effects of some pertinent parameters such as Reynolds number, Darcy number, Schmidt number and suction/injection parameter on velocity components, heat transfer, concentration, and Sherwood distribution are presented in this work.
Highlights
Most of scientific problems in fluid mechanics and dynamics are innately nonlinear
The problem of flow and mass transfer in a porous media with a chemical reaction is an example of system of coupled nonlinear differential equations which can be solved by analytical methods such as differential transform method (DTM)
Hayat and Abbas [6] studied the flow of upper-convected Maxwell (UCM) fluid in a porous channel with chemical reaction in which the effects of Deborah number, Reynolds number, Schmidt number and chemical reaction parameter on the velocity and concentration distribution are examined
Summary
Most of scientific problems in fluid mechanics and dynamics are innately nonlinear. All of these problems are displayed by partial or ordinary differential equations. The problem of flow and mass transfer in a porous media with a chemical reaction is an example of system of coupled nonlinear differential equations which can be solved by analytical methods such as DTM. Hayat and Abbas [6] studied the flow of UCM fluid in a porous channel with chemical reaction in which the effects of Deborah number, Reynolds number, Schmidt number and chemical reaction parameter on the velocity and concentration distribution are examined. Rundora and Makinde [7] investigated the thermal effects of suction or injection on an unsteady reactive variable viscosity third grade fluid in a porous media subject to convective boundary condition using finite difference method. Chinyoka and Makinde [8] presented the transient solution of the flow of a reactive variable viscosity fluid in a circular pipe with a porous wall using semi-implicit finite difference method. Other works [10-15] investigated the flow and heat transfer in the porous medium for different conditions
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