Abstract
A theoretical study has been developed to investigate the influence of thermophoresis and couple stresses on the steady flow of non-Newtonian fluid with free convective heat and mass transfer over a channel bounded by two permeable plates. The considered non-Newtonian fluid follows a viscoelastic model. The problem is modulated mathematically by a system of non-linear differential equations pertaining to describe the continuity, momentum, energy, and concentration. These equations involve the effects of viscous dissipation and chemical reaction. The numerical solutions of the dimensionless equations are found as a function of the physical parameters of this problem. The numerical formulas of the velocity (u), temperature Φ and concentration Θ as well as skin friction coefficient T*, Nusselt number(Nu) and Sherwood number(Sh) are computed. The physical parameter's effects of the problem on these formulas are described and illustrated graphically through some figures and tables. It is observed that any increase in the thermophoretic parameter T leads to reduce in velocity profiles as well as concentration layers. In contrast, the velocity increases with increasing the couple stresses inverse parameter.
Highlights
A transport processes of non- Newtonian fluids through a vertical channel is of great interest in diverse fields like ground-water hydrology and petroleum-reservoir
In the light of the preceding studies concerned with flow between two vertical plates showing important physical phenomenas such as phenomena of thermophoresis and couple stresses on non-Newtonian fluids which affect https://rajpub.com/index.php/jap on flow motion; we found that Piazza [1] has presented thermophoresis definition which mean moving particles with thermal gradients, particle thermophoresis is a non-equilibrium cross-flow influence between heat and mass transport
The analysis of viscoelastic fluid flow on unsteady two-dimensional in a porous channel with radiative heat transfer and mass transfer has been studied by Das [3]
Summary
A transport processes of non- Newtonian fluids through a vertical channel is of great interest in diverse fields like ground-water hydrology and petroleum-reservoir. El-Dabe et al [5] have analyzed the effects of thermophoresis and hall currents on non-linear heat and mass transfer of second grade fluid flow over permeable infinite vertical plate with presence of viscous dissipation and chemical reaction.
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