Wave propagation in an initially stressed rotating thermo-diffusive medium with two-temperature and micro-concentrations. Issue 4 (28th August 2020)

• Record Type: Journal Article
• Authors: Sheoran, Devender; Kumar, Ramesh; Kumar, Sunil; Kalkal, Kapil Kumar
• Is Part Of: International journal of numerical methods for heat & fluid flow. Volume 31:Issue 4(2021)
• Page Start: 1245
• Page End: 1267
• Publication Date: 2020-08-28
• Subjects: Diffusion -- Reflection -- Initial stress -- Two-temperature -- Angular velocity -- Micro-concentrations; Heat -- Transmission -- Mathematics -- Periodicals; Fluid dynamics -- Mathematics -- Periodicals; 536.2
• DOI: 10.1108/HFF-05-2020-0305
• Languages: English
• ISSNs: 0961-5539

Abstract

Abstract : Purpose: The purpose of this paper is to study the reflection of plane waves in an initially stressed rotating thermoelastic diffusive medium with micro-concentrations and two-temperature. Design/methodology/approach: A two-dimensional model of generalized thermoelasticity is considered. The governing equations are transformed into the non-dimensional forms using the dimensionless variables. Then, potential functions are introduced for the decoupling of the waves. Further, appropriate boundary conditions are assumed to completely solve the problem. Finally, numerical computations are performed using MATLAB. Findings: The problem is solved analytically and it is found that there exist five coupled waves in addition to an independent micro-concentration wave in the considered medium. The amplitude ratios and energy ratios of these reflected waves have also been computed numerically for a specific material. Originality/value: The modulus values of amplitude ratios are presented graphically to exhibit the effects of angular velocity, initial stress, two-temperature, diffusion and micro-concentration parameters. The expressions of energy ratios obtained in explicit form are also depicted graphically as functions of angle of incidence. The law of conservation of energy at the free surface during reflection phenomenon is also verified.