Non-Fourier analysis of skin biothermomechanics

Analysis of Thermal Damage in a Laser-Irradiated Based on the Non-Fourier Model

“…As the literature [4] did, this paper would develop (1) in the second-order Taylor series expansion for a more general form. Thus, it is rewritten as…”

“…Antaki [2] used the DPL model to interpret heat conduction in processed meat that was interpreted with the thermal wave model. Xu et al [4] presented a system discussion on the application of the DPL model in the biothermomechanical behavior of skin tissue. Liu and his co-workers [5,6] did an extension study for exploring whether the DPL thermal behavior exists in tissue.…”

Solution of dual phase lag equation by means of the boundary element method using discretization in time

“…The dual phase lag equation describes a number of thermal problems, among others the heat transfer in microscale [1,2] or thermal phenomena occurring in living organisms subjected to strong external heat sources [3,4]. So far, this equation supplemented by boundary and initial conditions solved mainly by using the finite difference method [5][6][7].…”

Solution of hyperbolic bioheat transfer problems by numerical green's functions: the ExGA-linear θ method

“…However, there are some applications of extremely short time duration or at very low temperature (e.g., cryogenic surgery, laserinduced thermal damage, etc.) for which the parabolic Pennes bioheat equation, which assumes an infinite thermal speed of propagation according to Fourier's law, is not adequate and the mathematical model may be more accurately described by the hyperbolic bioheat equation (Lu, Liu and Zeng, 1998;Liu, Chen and Xu, 1999;Tunga, 2009;Özen, Helhel and Çerezci, 2008;Liu, 2008;Xu, Seffen and Lu, 2008;Zhou, Zhang and Chen, 2009). The hyperbolic bioheat equation is characterised by the finite thermal speed of propagation of the thermal waves due to the application of a modified Fourier's law (Cattaneo, 1958).…”