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Analysis of plane Couette flow using micropolar fluid theory

Kim Y. J.

International Journal of Applied Mechanics and Engineering

2002

Vol. 7, Spec. is

73-79

In this study, fluid flow behavior in microchannel is examined because of its relevance to the design and development of micro-devices. Previous research has indicated that micropolar fluid theory may provide a better model of fluid flow in microfluidic devices than classical Navier-Stokes theory. An analysis of the plane Couette flow between two parallel plates of a viscous, incompressible, micropolar fluid is presented. The effects of non-zero values of micro-gyration vector and pressure gradient on the flow fields and skin friction are studied. Numerical results of velocity profiles of micropolar fluids are compared with the corresponding flow problems for a Newtonian fluid. Analytical results show that the skin friction increases by increasing the parameter of micro-gyration vector on the wall (n), and decreases by increasing values of micropolar parameter (b). It is also seen that the value of couple stress coefficient decreases as the model parameter (m) increases.