Laminar Viscous Flow of Micropolar Fluid through Non-Darcy Porous Medium Undergoing Uniform Suction or Injection

Document Type : Research Article

Authors

1 DEPT. OF MECH. ENGR., UNIVERSITY OF LAGOS, NIGERIA.

2 DEPT. OF MECH. ENGR., YABA COLLEGE OF TECHNOLOGY, LAGOS

Abstract

In this study, the flow of micropolar fluid, driven by suction or injection through a non-Darcy porous medium with high mass transfer is considered. The micropolar fluid flow is described by coupled systems of higher order, nonlinear, ordinary differential equations. Therefore the variation of parameters method (VPM) is utilized in generating analytical solutions to the mathematical models arising from flow and rotation of the micropolar fluid. As the VPM is a relatively easy, yet efficient approach of analyzing both strongly and weakly dependent nonlinear equations with a rapid convergence rate. Pertinent rheological fluid parameter effects such as non-Darcy parameter and Reynolds number on flow and rotation are examined using the obtained analytical solutions. Observations from graphical representation of result illustrate flow increase during injection and slight radial velocity decrease for suction flow. Reynolds parameter effect on fluid particles micro rotation also shows decrease in rotation profile during injection while during suction increased particle rotation is observed as a result of high mass transfer. Results obtained from study compared against existing works in literature prove to be in satisfactory agreement. Therefore this paper can be used to further study of micropolar fluids applications such as blood flow, lubricants and micro channel flows amongst others.

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