Wave Propagation at the Boundary Surface of Inviscid Fluid Half-Space and Thermoelastic Diffusion Solid Half-Space with Dual-Phase-Lag Models

Subject Areas : Engineering

R  Kumar ¹ (Department of Mathematics, Kurukshetra University Kurukshetra-136119, Haryana ,India)
V  Gupta ² (Indira Gandhi National College, Ladwa(Dhanora), Haryana ,India)

Received: 2015-06-20 Accepted : 2015-08-17 Published : 2015-09-30

Keywords: energy, Amplitude, Thermoelasticity, Reflection, Transmission, Fluid, Elastic,

Abstract :

The present investigation deals with the reflection and transmission phenomenon due to incident plane longitudinal wave at a plane interface between inviscid fluid half-space and a thermoelastic diffusion solid half-space with dual-phase-lag heat transfer (DPLT) and dual-phase-lag diffusion (DPLD) models. The theory of thermoelasticity with dual-phase-lag heat transfer developed by Roychoudhary [10] has been employed to develop the equation for thermoelastic diffusion with dual-phase-lag heat transfer and dual-phase-lag diffusion model. Amplitude ratios and energy ratios of various reflected and transmitted waves are obtained. It is found that these are the functions of angle of incidence, frequency of incident wave and are influenced by thermoelastic diffusion properties of media. The nature of dependence of amplitude ratios and energy ratios with the angle of incidence have been computed numerically for a particular model. The variations of energy ratios with angle of incidence are also shown graphically. The conservation of energy at the interface is verified. Some special cases are also deduced from the present investigation.

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