The role of porous media in modeling flow and heat transfer in biological tissues

A general bioheat transfer model based on the theory of porous media

https://digitalcommons.unl.edu/cgi/viewcontent.cgi?article=1105&context=mechengfacpub

A peridynamic formulation for transient heat conduction in bodies with evolving discontinuities

Generalized dual-phase lag bioheat equations based on nonequilibrium heat transfer in living biological tissues

Analytical characterization of heat transport through biological media incorporating hyperthermia treatment

As an alternative to the existing bioheat transfer models a new system of two energy equations is proposed by considering the human body as a deformable porous medium. One equation is developed for the blood and the other for the peripheral skeletal tissue. It includes such significant factors as the vascular geometry and size, the blood flow and direction, thermal diffusion and the local thermal nonequilibrium between the blood and peripheral tissue. Discussion and application of both equations are given.

Bioheat equation of the human thermal system

Based on the dispersion model rather than on the conventional plug-flow model, a method of predicting the transient behaviour of parallel and counterflow heat exchangers is developed, whereby the effects of shell-side flow maldistribution and the finite heat capacities of both fluids, tube bundle and shell are considered. The final solution has been obtained by numerical inversion of the Laplace transform, to determine the transient responses to arbitrary inlet temperature variations. The experiment was carried out in a one pass tube heat exchanger. The comparison between theoretical and experimental results is presented and the feasibility of this method is discussed

Yimin Xuan

Papers

Bioheat equation of the human thermal system

Transient behaviour of shell and tube heat exchangers