Two-temperature theory in magneto-thermoelasticity with fractional order dual-phase-lag heat transfer

A new theory of two-temperature generalized thermoelasticity is constructed in the context of a new consideration of dual-phase-lag heat conduction with fractional orders. The theory is then adopted to study thermoelastic interaction in an isotropic homogenous semi-infinite generalized thermoelastic solids with variable thermal conductivity whose boundary is subjected to thermal and mechanical loading. The basic equations of the problem have been written in the form of a vector-matrix differential equation in the Laplace transform domain, which is then solved by using a state space approach. The inversion of Laplace transforms is computed numerically using the method of Fourier series expansion technique. The numerical estimates of the quantities of physical interest are obtained and depicted graphically. Some comparisons of the thermophysical quantities are shown in figures to study the effects of the variable thermal conductivity, temperature discrepancy, and the fractional order parameter.

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Heat Transfer Analysis in Human Skin Subjected to Flash Fire: Investigation of Dual Phase Lag Phenomenon

Proceedings of the 15th International Heat Transfer Conference ◽

10.1615/ihtc15.cnd.009253 ◽

2014 ◽

Author(s):

Uday Raj ◽

Prabal Talukdar ◽

Apurba Das ◽

R. Alagirusamy

Keyword(s):

Heat Transfer ◽

Human Skin ◽

Heat Transfer Analysis ◽

Phase Lag ◽

Dual Phase ◽

Fire Investigation ◽

Flash Fire

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

Scientific Reports ◽

10.1038/s41598-020-73086-0 ◽

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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