Vascular Countercurrent Network for 3-D Triple-Layered Skin Structure with Radiation Heating

A mathematical model for skin burn injury induced by radiation heating, where the skin was considered to be a 3-D triple-layered structure with embedded three-level dendritic countercurrent vascular network, has been developed. Since there are up to seven levels of arteries and veins, the motivation of this study is to extend the model to a more complex case that considers a seven-level dendritic countercurrent vascular network, where the dimensions and blood flow of the blood vessels are determined based on the constructal theory of multi-scale tree-shaped heat exchangers. The method is illustrated by an example.