A study on oscillating second-kind boundary condition for Pennes equation considering thermal relaxation

To study the effects of the thermal relaxation, the blood perfusion and the oscillating of ambient heat flux on the living tissue temperature in detail, we analytically investigated the one-dimensional CV model, a thermal wave model presented by Cattaneo and Vernott, for Pennes’ bio-heat transfer equation under oscillating second-kind boundary condition. The results showed that the blood perfusion has the effect of maintaining the tissue’s temperature. The heat propagation velocity decreases with the thermal relaxation time, while the absolute value of tissue’s mean excess temperature at steady state increases with the thermal relaxation time. When the ambient heat flux oscillates, the tissue’s temperature oscillates in the same period with a lag time. The results obtained in this paper are valuable for the research reference on the topic of tumor hyperthermia, heat injury, etc.