A novel model of plane waves of two-temperature fiber-reinforced thermoelastic medium under the effect of gravity with three-phase-lag model. Issue 12 (15th August 2019)

• Record Type: Journal Article
• Authors: Othman, Mohamed I.A.; Said, Samia; Marin, Marin
• Is Part Of: International journal of numerical methods for heat & fluid flow. Volume 29:Issue 12(2019)
• Page Start: 4788
• Page End: 4806
• Publication Date: 2019-08-15
• Subjects: Green-Naghdi theory -- Gravity -- Two-temperature -- Fiber-reinforced -- Three-phase-lag model; Heat -- Transmission -- Mathematics -- Periodicals; Fluid dynamics -- Mathematics -- Periodicals; 536.2
• DOI: 10.1108/HFF-04-2019-0359
• Languages: English
• ISSNs: 0961-5539

Abstract

Abstract : Purpose: In the present paper, the three-phase-lag (3PHL) model, Green-Naghdi theory without energy dissipation (G-N II) and Green-Naghdi theory with energy dissipation (G-N III) are used to study the influence of the gravity field on a two-temperature fiber-reinforced thermoelastic medium. Design/methodology/approach: The analytical expressions for the displacement components, the force stresses, the thermodynamic temperature and the conductive temperature are obtained in the physical domain by using normal mode analysis. Findings: The variations of the considered variables with the horizontal distance are illustrated graphically. Some comparisons of the thermo-physical quantities are shown in the figures to study the effect of the gravity, the two-temperature parameter and the reinforcement. Also, the effect of time on the physical fields is observed. Originality/value: To the best of the author's knowledge, this model is a novel model of plane waves of two-temperature fiber-reinforced thermoelastic medium, and gravity plays an important role in the wave propagation of the field quantities. It explains that there are significant differences in the field quantities under the G-N II theory, the G-N III theory and the 3PHL model because of the phase-lag of temperature gradient and the phase-lag of heat flux.