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A Novel Model of Plane Waves of Two-temperature Fiber-reinforced Thermoelastic Medium under the Effect of Gravity with Three-phase-lag Model
Faculty
Science
Year:
2019
Type of Publication:
ZU Hosted
Pages:
4788-4806
Authors:
Mohamed Ibrahim Ahmed Othman
Staff Zu Site
Abstract In Staff Site
Journal:
Int. J. Numerical Methods for Heat and Fluid Flow Emerald Publishing Limited
Volume:
29
Keywords :
, Novel Model , Plane Waves , Two-temperature Fiber-reinforced
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.
Author Related Publications
Mohamed Ibrahim Ahmed Othman, "Effect of Magnetic Field on Thermoelastic Micro-Elongated Solid with Diffusion under Dual-Phase-Lag Model", World Scientific Publishing Company, 2021
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Mohamed Ibrahim Ahmed Othman, "Refined multi-phase-lags theory and Thomson effect on a micropolar thermoelastic medium with voids", Elsevier, 2021
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Mohamed Ibrahim Ahmed Othman, "Thermoelastic Theories on the Refracted Waves in Microstretch Thermoelastic Diffusion Media", World Scienti¯c Publishing Company, 2022
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Mohamed Ibrahim Ahmed Othman, "On the Effect of Thomson and Initial Stress in a Thermo-Porous Elastic Solid under G-N Electromagnetic Theory", www.mdpi.com/journal/symmetry, 2019
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Mohamed Ibrahim Ahmed Othman, "Analysis on plane waves through magneto-thermoelastic microstretch rotating medium with temperature dependent elastic properties", ElSevier, 2018
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Department Related Publications
Samia Saeed Mohammed Mohamed Ghoneim Hilal, "Effects of phase-lags, rotation, and temperaturedependent properties on plane waves in a magneto-microstretch thermoelastic medium", https://www.tandfonline.com/action/journalInformation?journalCode=twrm20, 2021
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Samia Saeed Mohammed Mohamed Ghoneim Hilal, "Fractional derivative heat transfer for rotating modified couple stress magneto-thermoelastic medium with two temperatures", https://www.tandfonline.com/action/journalInformation?journalCode=twrm20, 2020
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Samia Saeed Mohammed Mohamed Ghoneim Hilal, "Influence of gravity on generalized magneto-thermoelastic medium for three-phase-lag model", www.elsevier.com/locate/cam, 2016
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Samia Saeed Mohammed Mohamed Ghoneim Hilal, "A novel model of plane waves of two-temperature fiber-reinforced thermoelastic medium under the effect of gravity with three-phase-lag model", Emerald Publishing Limited 0961-5539, 2019
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Samia Saeed Mohammed Mohamed Ghoneim Hilal, "Modeling of memory dependent derivative in a rotating magneto thermoelastic diffusive medium with variable thermal conductivity", Techno-Press, Ltd., 2020
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