Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (1): 11-36.doi: https://doi.org/10.1007/s10483-015-1892-9

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Reflection and transmission of plane waves from fluid-piezothermoelastic solid interface

A. K. VASHISHTH, H. SUKHIJA   

  1. Department of Mathematics, Kurukshetra University, Kurukshetra 136119, India
  • 收稿日期:2014-06-13 修回日期:2014-10-31 出版日期:2015-01-01 发布日期:2015-01-01
  • 通讯作者: H. SUKHIJA, E-mail: hema_bajaj84@yahoo.co.in E-mail:hema_bajaj84@yahoo.co.in
  • 基金资助:
    Project supported by the Council of Scientific and Research Organization (No. 09/(105)/0173/2008/ EMR-I)

Reflection and transmission of plane waves from fluid-piezothermoelastic solid interface

A. K. VASHISHTH, H. SUKHIJA   

  1. Department of Mathematics, Kurukshetra University, Kurukshetra 136119, India
  • Received:2014-06-13 Revised:2014-10-31 Online:2015-01-01 Published:2015-01-01
  • Supported by:
    Project supported by the Council of Scientific and Research Organization (No. 09/(105)/0173/2008/ EMR-I)

摘要: The reflection and transmission of plane waves from a fluid-piezothermoelastic solid interface are studied. The expressions for amplitude ratios and energy ratios corresponding to reflected waves and transmitted waves are derived analytically. The piezo-thermoelastic solid half-space is assumed to have 6mm type symmetry and assumed to be loaded with water. The effects of angle of the incidence, the frequency, the specific heat, the relaxation time, and the thermal conductivity on the reflected and transmitted energy ratios are studied numerically for a particular model of cadmium selenide (CdSe) and water. Some special cases are also studied.

关键词: thermal conductivity, piezo-thermoelastic, reflection, transmission, relaxation time

Abstract: The reflection and transmission of plane waves from a fluid-piezothermoelastic solid interface are studied. The expressions for amplitude ratios and energy ratios corresponding to reflected waves and transmitted waves are derived analytically. The piezo-thermoelastic solid half-space is assumed to have 6mm type symmetry and assumed to be loaded with water. The effects of angle of the incidence, the frequency, the specific heat, the relaxation time, and the thermal conductivity on the reflected and transmitted energy ratios are studied numerically for a particular model of cadmium selenide (CdSe) and water. Some special cases are also studied.

Key words: transmission, thermal conductivity, piezo-thermoelastic, relaxation time, reflection

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