Analyzing of the effect of the dusty fluid, anisotropy and layered of the wall on the wave propagation


EROL H.

APPLIED MATHEMATICAL MODELLING, vol.36, no.6, pp.2486-2497, 2012 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 36 Issue: 6
  • Publication Date: 2012
  • Doi Number: 10.1016/j.apm.2011.09.005
  • Title of Journal : APPLIED MATHEMATICAL MODELLING
  • Page Numbers: pp.2486-2497

Abstract

This study considers the propagation of time harmonic waves in, prestressed, anisotropic elastic tubes filled with viscous fluid containing dusty particles. The fluid is assumed to be incompressible and Newtonian. The tube material is considered to be incompressible, anisotropic, and elastic. The tube is subjected to a static inner pressure P-i and an axial stretch lambda. Utilizing the theory of Superposing small deformations on large initial static deformations, differential equations governing wavepropagation inside the tube are obtained in terms of cylindrical coordinates. Analytical solutions for the equations of motion for the dust and the fluid are obtained, and expressed numerically. The dispersion relation is obtained as a function of the stretch, the thickness ratio and the parameters for dusty particles. (C) 2011 Elsevier Inc. All rights reserved.