Eur. Phys. J. Plus (2016) 131: 338
https://doi.org/10.1140/epjp/i2016-16338-5

Regular Article

The flow of micropolar fluids through a microparallel corrugated channel

School of Mathematical Science, Inner Mongolia University, 010021, Hohhot, PR China

^* e-mail: jianyj@imu.edu.cn

Received: 4 June 2015
Accepted: 28 August 2016
Published online: 27 September 2016

Abstract

The flow of micropolar fluids through a microparallel channel with corrugated walls is performed in this paper. The corrugations of the two walls are described as periodic sinusoidal waves with small amplitude and phase difference . The flow generated by the constant pressure gradient is assumed to be steady and unidirectional. Approximate analytical solutions of velocity, vorticity of micro-rotation and volume flow rate are obtained by perturbation techniques. The effects of the corrugation on the flow are graphically analyzed by using numerical computation. The dependences of velocity, vorticity of micro-rotation and leading-order perturbations to the mean velocity of micropolar fluids on the Reynolds number Re, the phase difference of the two corrugated walls and couple stress parameter s₀ are explained graphically.