EFFECT OF THE ROTATION ON WAVE MOTION THROUGH CYLINDRICAL BORE IN A MICROPOLAR POROUS MEDIUM-Reference-Cited by-同舟云学术

EFFECT OF THE ROTATION ON WAVE MOTION THROUGH CYLINDRICAL BORE IN A MICROPOLAR POROUS MEDIUM

Published:2011-08-10 Issue:20 Volume:25 Page:2713-2728
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

MAHMOUD S. R.¹,ABD-ALLA A. M.²,EL-SHEIKH M. A.²

Affiliation:

1. Mathematics Deparment, Faculty of Education, King Abdul Aziz University, Kingdom of Saudi Arabia

2. Mathematics Department, Faculty of Science, Taif University, Kingdom of Saudi Arabia

Abstract

In the present paper, we have studied the propagation of axial symmetric cylindrical surface waves through rotating cylindrical bore in a micropolar porous medium of infinite extent possessing cubic symmetry. The frequency equation for surface wave propagation in the micropolar porous medium has been derived and liquid filled bore are derived. The effect of the rotation on phase velocity of surface wave has been studied in detail. Radius of bore and other material parameters for empty and liquid filled bore are derived. A particular case of interest has been deduced. Numerical results have been obtained and illustrated graphically to understand the behavior of phase velocity versus wave number of a wave. The results have indicated that the effect of rotation on phase velocity is highly pronounced. Comparisons are made in the absence of rotation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979211101739

Reference16 articles.

1. Theory of Elasticity for Scientists and Engineers

2. Linear elastic materials with voids

3. Plane waves in nonlocal micropolar elasticity

4. Some results in micropolar thermoelasticity

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