Reflection/transmission of plane waves at the interface of an ideal fluid and nonlocal piezothermoelastic medium

Abstract

Purpose

This paper aims to study the variation of energy ratios of different reflected and transmitted waves by calculating the amplitude ratios.

Design/methodology/approach

This investigation studied the reflection and transmission of plane waves on an interface of nonlocal orthotropic piezothermoelastic space (NOPHS) and fluid half-space (FHS) in reference to dual-phase-lag theory under three different temperature models, namely, without-two-temperature, classical-two-temperature, and hyperbolic-two-temperature with memory-dependent derivatives (MDDs).

Findings

The primary (P) plane waves propagate through FHS and strike at the interface x₃ = 0. The results are one wave reflected in FHS and four waves transmitted in NOPHS. It is noticed that these ratios are observed under the impact of nonlocal, dual-phase-lag (DPL), two-temperature and memory-dependent parameters and are displayed graphically. Some particular cases are also deduced, and the law of conservation of energy across the interface is justified.

Research limitations/implications

According to the available literature, there is no substantial research on the considered model incorporating NOPHS and FHS with hyperbolic two-temperature, DPL and memory.

Practical implications

The current model may be used in various fields, including earthquake engineering, nuclear reactors, high particle accelerators, aeronautics, soil dynamics and so on, where MDDs and conductive temperature play a significant role. Wave propagation in a fluid-piezothermoelastic media with different characteristics such as initial stress, magnetic field, porosity, temperature, etc., provides crucial information about the presence of new and modified waves, which is helpful in a variety of technical and geophysical situations. Experimental seismologists, new material designers and researchers may find this model valuable in revising earthquake estimates.

Social implications

The researchers may classify the material using the two-temperature parameter and the time-delay operator, where the parameter is a new indication of its capacity to transmit heat in interaction with various materials.

Originality/value

The submitted manuscript is original work done by the team of said authors and each author contributed equally to preparing this manuscript.

Citation

Gupta, V., Kumar, R., Kumar, M., Pathania, V. and Barak, M.S. (2023), "Reflection/transmission of plane waves at the interface of an ideal fluid and nonlocal piezothermoelastic medium", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 33 No. 2, pp. 912-937. https://doi.org/10.1108/HFF-04-2022-0259