Mathematical model of micropolar fluid in two-phase immiscible fluid flow through porous channel

doi:10.1007/s10483-018-2351-8

Abstract

Abstract: This paper is concerned with the flow of two immiscible fluids through a porous horizontal channel. The fluid in the upper region is the micropolar fluid/the Eringen fluid, and the fluid in the lower region is the Newtonian viscous fluid. The flow is driven by a constant pressure gradient. The presence of micropolar fluids introduces additional rotational parameters. Also, the porous material considered in both regions has two different permeabilities. A direct method is used to obtain the analytical solution of the concerned problem. In the present problem, the effects of the couple stress, the micropolarity parameter, the viscosity ratio, and the permeability on the velocity profile and the microrotational velocity are discussed. It is found that all the physical parameters play an important role in controlling the translational velocity profile and the microrotational velocity. In addition, numerical values of the different flow parameters are computed. The effects of the different flow parameters on the flow rate and the wall shear stress are also discussed graphically.

Key words: aerodynamics, aeroacoustics, shear flow, non-linear interaction, unsteady flow, immiscible fluid, micropolarity parameter, porous medium, couple stress, micropolar fluid

2010 MSC Number:

P. K. YADAV, S. JAISWAL, B. D. SHARMA. Mathematical model of micropolar fluid in two-phase immiscible fluid flow through porous channel. Applied Mathematics and Mechanics (English Edition), 2018, 39(7): 993-1006.

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