Browsing by Author "Orndorff, C"
Now showing 1 - 1 of 1
Results Per Page
Sort Options
Item Open Access Thermal analysis in a triple-layered skin structure with embedded vasculature, tumor, and gold nanoshells(International Journal of Heat and Mass Transfer, 2017-08-01) Orndorff, C; Ponomarev, S; Dai, W; Bejan, A© 2017 Elsevier Ltd Obtaining accurate temperature distributions in living tissue related to hyperthermia skin cancer treatment without using an intruding sensor is a challenge. Here, we report a mathematical model that can accurately determine the temperature distribution in the tumor region and surrounding normal tissue. The model is based on a modified Pennes’ equation for the bioheat transfer in a 3-D triple-layered skin structure embedded with a vascular countercurrent network and a tumor appearing in the subcutaneous region. The vascular network is designed based on the constructal theory of multi-scale tree-shaped heat exchangers. The tumor is injected with gold nanoshells in order to be heated quickly. The proposed model is implemented numerically using a stable finite difference scheme. The method is demonstrated and tested by an example.