On the effect of temperature dependent thermal conductivity on temperature rise of biologic tissues during microwave heating

Abstract

We consider the effect of temperature dependent thermal conductivity on temperature rise in biologic tissues during microwave heating. The method of asymptotic expansion is used for finding solution. An appropriate matching procedure was used in our method. Our result reveals the possibility of multiple solutions and it gives insight to avoiding hot-spot in the tissues. Clearly some tissues are heat sensitive while others are heat resistant.



Journal of the Nigerian Association of Mathematical Physics Vol. 8 2004: pp. 181-186