Photothermal waves for two temperature with a semiconducting medium under using a dual-phase-lag model and hydrostatic initial stress

2016 ◽  
Vol 27 (3) ◽  
pp. 482-501 ◽  
Author(s):  
Kh. Lotfy
Keyword(s):  
Initial Stress ◽  
Phase Lag ◽  
Dual Phase ◽  
Lag Model ◽  
Hydrostatic Initial Stress ◽  
Two Temperature

The initial stress effect on a thermoelastic micro-elongated solid under the dual-phase-lag model

2021 ◽  
Vol 127 (9) ◽  
Author(s):  
Mohamed I. A. Othman ◽  
Sarhan Y. Atwa ◽  
Ebtesam E. M. Eraki ◽  
Mohamed F. Ismail
Keyword(s):  
Initial Stress ◽  
Stress Effect ◽  
Phase Lag ◽  
Dual Phase ◽  
Lag Model

Effect of magnetic field and gravity on two-temperature thermomicrostretch elastic medium under dual-phase lag model

2019 ◽  
Vol 94 (1) ◽  
pp. 69-79
Author(s):  
Mohamed I. A. Othman ◽  
Magda E. M. Zidan ◽  
Ibrahim E. A. Mohamed
Keyword(s):  
Magnetic Field ◽  
Elastic Medium ◽  
Phase Lag ◽  
Dual Phase ◽  
Lag Model ◽  
Two Temperature

Two-temperature generalized magneto-thermoelastic medium for dual-phase-lag model under the effect of gravity field and hydrostatic initial stress

2016 ◽  
Vol 12 (2) ◽  
pp. 362-383 ◽  
Author(s):  
Samia M Said
Keyword(s):  
Magnetic Field ◽  
Gravity Field ◽  
Initial Stress ◽  
Mode Analysis ◽  
Phase Lag ◽  
Temperature Dependent ◽  
Content Type ◽  
Temperature Dependent Properties ◽  
Hydrostatic Initial Stress ◽  
Two Temperature

Purpose – The dual-phase-lag (DPL) model and Lord-Shulman theory with one relaxation time are applied to study the effect of the gravity field, the magnetic field, and the hydrostatic initial stress on the wave propagation in a two-temperature generalized thermoelastic problem for a medium with an internal heat source that is moving with a constant speed. The paper aims to discuss this issue. Design/methodology/approach – The exact expressions of the considered variables are obtained by using normal mode analysis. Findings – Numerical results for the field quantities are given in the physical domain and illustrated graphically in the absence and presence of the gravity field as well as the magnetic field. Comparisons are made between the results of the two different models with and without temperature dependent properties and for two different values of the hydrostatic initial stress. A comparison is also made between the results of the two different models for two different values of the time. Originality/value – In the present work, the author shall formulate a two-temperature generalized magneto-thermoelastic problem for a medium with temperature dependent properties and with an internal heat source that is moving with a constant speed under the influence of a gravity field and a hydrostatic initial stress. Normal mode analysis is used to obtain the exact expressions for the displacement components, thermodynamic temperature, conductive temperature, and stress components. A comparison is carried out between the considered variables as calculated from the generalized thermoelasticity based on the DPL model and the L-S theory in the absence and presence of a magnetic field as well as a gravity field. Comparisons are also made between the results of the two theories with and without temperature dependent properties and for two different values of hydrostatic initial stress. A comparison is also made between the results of the two different models for two different values of the time.

A fiber-reinforced thermoelastic medium with an internal heat source due to hydrostatic initial stress and gravity for the three-phase-lag model

2017 ◽  
Vol 13 (1) ◽  
pp. 83-99 ◽  
Author(s):  
Samia M. Said
Keyword(s):  
Heat Source ◽  
Initial Stress ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Phase Lag ◽  
Thermoelastic Medium ◽  
Content Type ◽  
Three Phase ◽  
Lag Model ◽  
Hydrostatic Initial Stress

Purpose The purpose of this paper is to investigate the effect of a hydrostatic initial stress and the gravity field on a fiber-reinforced thermoelastic medium with an internal heat source that is moving with a constant speed. Design/methodology/approach A general model of the equations of the formulation in the context of the three-phase-lag model and Green-Naghdi theory without energy dissipation. Findings The exact expressions for the displacement components, force stresses, and the thermal temperature for the thermal shock problem obtained by using normal mode analysis. Originality/value A comparison made between the results of the two models for different values of a hydrostatic initial stress as well as an internal heat source. Comparisons also made with the results of the two models in the absence and presence of the gravity field as well as the reinforcement.

scholarly journals The exact analytical solution of the dual-phase-lag two-temperature bioheat transfer of a skin tissue subjected to constant heat flux

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Hamdy M. Youssef ◽  
Najat A. Alghamdi
Keyword(s):  
Heat Flux ◽  
Analytical Solution ◽  
Exact Analytical Solution ◽  
Constant Heat Flux ◽  
Bioheat Transfer ◽  
Skin Tissue ◽  
Phase Lag ◽  
Dual Phase ◽  
Constant Heat ◽  
Two Temperature

Abstract This work is dealing with the temperature reaction and response of skin tissue due to constant surface heat flux. The exact analytical solution has been obtained for the two-temperature dual-phase-lag (TTDPL) of bioheat transfer. We assumed that the skin tissue is subjected to a constant heat flux on the bounding plane of the skin surface. The separation of variables for the governing equations as a finite domain is employed. The transition temperature responses have been obtained and discussed. The results represent that the dual-phase-lag time parameter, heat flux value, and two-temperature parameter have significant effects on the dynamical and conductive temperature increment of the skin tissue. The Two-temperature dual-phase-lag (TTDPL) bioheat transfer model is a successful model to describe the behavior of the thermal wave through the skin tissue.

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