| Summary: | 碩士 === 大同大學 === 化學工程學系(所) === 98 === In this study, the temperature profiles between a heat source and a blood vessel and between two heat sources in an in vitro tissue during hyperthermia treatment have been investigated.
The research work includes developing a mathematical model and solving the transient temperature profiles around the heat source by numerical method, starting from room temperature with a long heating followed by three cycles of non-heating and heating.
The mathematical model for temperature profiles between a heat source and a blood vessel has three parameters, including heat conductivity of tissue (k), heat transfer coefficient between tissue and atmosphere (h), and heat transfer coefficient between tissue and blood vessel (hb). The temperature dependence of heat conductivity reported in the literature was used in this study to calculate k as function of temperature, the value of h was adopted from previous study, and single-parameter data regression was used to obtain hb. It has been found that the heat transfer coefficient between tissue and blood vessel (hb) increases with increasing blood velocity, and it becomes infinite when the velocity of blood exceeds 1000 ml/min.
The mathematical model for temperature profiles between two heat sources has two parameters, heat conductivity of tissue (k) and heat transfer coefficient between tissue and atmosphere (h). Again, k was adopted from literature and single-parameter data regression was used to obtain the value of h. The results give that h*=170 W/m2-K, and the average error is 3.33℃. If the value of h is adopted from that of single heat source experiment (h=167.7 W/m2-K), the average error increases only 0.010C.
Therefore, we can conclude that the temperature profiles between two heat sources in an in vitro tissue can be calculated from the parameters for single heat source. In addition, we can also use the results of two heat sources to predict the temperature profiles among multiple heat sources, that are parallel and equally spaced, by use of symmetry principle.
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