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Stability of micropolar fluid flow between concentric rotating cylinders

Published online by Cambridge University Press:  17 July 2009

HUEI CHU WENG ,
CHA'O-KUANG CHEN  and
MIN-HSING CHANG
HUEI CHU WENG
Affiliation:
Department of Mechanical Engineering, Chung Yuan Christian University, Chungli 32023, Taiwan, ROC
CHA'O-KUANG CHEN*
Affiliation:
Department of Mechanical Engineering, National Cheng Kung University, Tainan 70101, Taiwan, ROC
MIN-HSING CHANG
Affiliation:
Department of Mechanical Engineering, Tatung University, Taipei 10452, Taiwan, ROC
*
†Email address for correspondence: [email protected]
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Abstract

In this study, the theory of micropolar fluids is employed to study the stability problem of flow between two concentric rotating cylinders. The field equations subject to no-slip conditions (non-zero velocity and microrotation velocity components) at the wall surfaces are solved. The analytical solutions of the velocity and microrotation velocity fields as well as the shear stress difference, couple stress and strain rate for basic flow are obtained. The equations with respect to non-axisymmetric disturbances are derived and solved by a direct numerical procedure. It is found that non-zero wall-surface microrotation velocity makes the flow faster and more unstable. Moreover, it tends to reduce the limits of critical non-axisymmetric disturbances. The effect on the stability characteristics can be magnified by increasing the microstructure or couple-stress parameter or the microinertia parameter for the cases of corotating cylinders and a stationary outer cylinder or by decreasing the radius ratio or the microinertia parameter for the case of counterrotating cylinders.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 631 , 25 July 2009 , pp. 343 - 362
Copyright
Copyright © Cambridge University Press 2009

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