Propagation of surface waves in generalized thermoelastic media under influence of magnetic field and rotation and its applications in engineering and geophysics

• M. M. Amin ^[1] ; Amir Mohamed Abdel Allah Nasr ^[1] ; A. A. El-Bary ^[3] ; S. M. Abo-Dahab ^[2]
  1. [1] Northern Border University

     Northern Border University

     Arabia Saudí

     
  2. [2] South Valley University

     South Valley University

     Egipto

     
  3. [3] Arab Academy for Science and Technology

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• Localización: Mechanics based design of structures and machines, ISSN 1539-7734, Vol. 50, Nº. 10, 2022, págs. 3417-3440
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • This paper aims to study the propagation of surface waves in generalized magneto-thermoelastic media under influence of magnetic field and rotation and its applications in Engineering, Geophysics, and Petroleum extracting. The governing equations are considered for generalized thermoelastic problem under magnetic field and rotation and solved to obtain the general solution in x-z plane. The Lame’s potential method considering harmonic functions for the physical quantities is used to obtain the secular equation and then the velocity and attenuation coefficient for the types of waves: Stoneley, Love, and Rayleigh. The appropriate boundary conditions at an interface between two dissimilar half-spaces are satisfied with appropriate particular solutions to obtain the frequency equation of the surface wave in the medium. Some special cases as: Stoneley waves, Rayleigh and Love waves also discussed and presented graphically to show the physical meaning of the external parameters effect on the petroleum extracting phenomena and its contributions in KSA vision 2030 in crystal, Iron and steel. A comparison is made with the previous results considering LS model and the absence of rotation that deduces to the previous results as a special case from the present study. Also, if the magnetic field and rotation vanish, the results obtained in the present work are discussed.

    Experimentally, the results obtained agree with the labs results obtained.

    The results obtained indicate to a significant impact of the magnetic field and rotation on the waves propagation phenomenon that contributes on the industries and related topics.