Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2740

Full Length Research Paper

Propagation of plane magneto-thermo-elastic waves in a rotating, electrically conducting and transversely isotropic medium

A. Jahangir*, A. Khan*, S. Islam**, and M. Khan*
  *Department of Mathematics, COMSATS, Institute of Information Technology, Islamabad, Pakistan. **Department of Mathematics, Abdul Wali Khan University, Mardan, kpk, Pakistan.
Email: [email protected]

  •  Accepted: 28 February 2012
  •  Published: 16 March 2012

Abstract

 

In this article, plane wave propagation, in a rotating perfectly electrically conducting unbounded transversely isotropic mediums in the presence of initially applied uniform magnetic field is studied. A general dispersion relation with complex coefficients is obtained for magneto-thermo-elastic waves. Axis of rotation, axis of symmetry and propagation of waves are chosen along z-axis. Four waves propagate in the medium when body is rotating about axis of symmetry. Two of them are elastic waves which depend on the initially applied magnetic field and the frequency of rotation. Remaining two are thermal waves which are independent of magnetic field and rotation. Numerical results for magnesium as a model material are presented.

 

Key words: Transversely isotropic, dispersion relation, energy dissipation, magneto-thermo-elastic wave, generalized thermo-elasticity.