Moradi Amir, Ahmadikia Hossein
Young Researchers Club, Islamic Azad University, Arak Branch, Iran.
Proc Inst Mech Eng H. 2012 May;226(5):406-16. doi: 10.1177/0954411912441305.
The bioheat transfer with phase change in biological tissues during the freezing process is simulated by the dual phase lag conduction heat transfer model. A numerical algorithm based on the enthalpy method is established to solve the solidification of biological tissues. The linearly temperature-dependent enthalpy (non-isothermal phase change) is considered here. The results of the parabolic heat conduction model for a slice of cucumber are compared with the experimental data. A comparison between dual phase lag and hyperbolic solutions with small values of relaxation times is applied in order to verify the corresponding parabolic solutions accuracy of the dual phase lag and hyperbolic solutions. The heating source effect owing to blood perfusion and metabolic heat on the heat transfer in a biological tissue subject to freezing process is studied. The relaxation time has an important influence on the transient temperature and temperature gradient. A major discrepancy among bioheat transfer models is found for zones closer to the cooling boundary. The heat source term, owing to blood flow and metabolism in a phase change problem in the biological tissue, has a significant influence on thermal effects of the subject tissue.
采用双相滞后热传导模型对生物组织冷冻过程中的相变生物传热进行了模拟。建立了基于焓法的数值算法来求解生物组织的凝固问题。这里考虑了线性温度依赖焓（非等温相变）。将黄瓜片的抛物线热传导模型结果与实验数据进行了比较。为了验证双相滞后和双曲解相应抛物线解的精度，对具有小弛豫时间值的双相滞后和双曲解进行了比较。研究了在冷冻过程中生物组织传热过程中血液灌注和代谢热引起的热源效应。弛豫时间对瞬态温度和温度梯度有重要影响。在靠近冷却边界的区域发现了生物传热模型之间的主要差异。在生物组织的相变问题中，由于血流和代谢产生的热源项对受试组织的热效应有显著影响。
