Analytically solving a three-dimensional (3-D) bioheat transfer problem with phase change during a freezing process is extremely difficult but theoretically important. The moving heat source model and the Green func...Analytically solving a three-dimensional (3-D) bioheat transfer problem with phase change during a freezing process is extremely difficult but theoretically important. The moving heat source model and the Green function method are introduced to deal with the cryopreservation process of in vitro biomaterials. Exact solutions for the 3-D temperature transients of tissues under various boundary conditions, such as totally convective cooling, totally fixed temperature cooling and a hybrid between them on tissue surfaces, are obtained. Furthermore, the cryosurgical process in living tissues subject to freezing by a single or multiple cryoprobes is also analytically solved. A closed-form analytical solution to the bioheat phase change process is derived by considering contributions from blood perfusion heat transfer, metabolic heat generation, and heat sink of a cryoprobe. The present method is expected to have significant value for analytically solving complex bioheat transfer problems with phase change.展开更多
为解决现有开式热源塔冬季运行时塔内溶液吸湿量大而影响系统运行安全的缺陷,本文设计了一种具有预凝功能的新型热源塔结构,分析了新型塔的运行过程,并对比研究了新型塔和普通塔在不同进口溶液温度、空气流量和溶液流量下的运行性能。...为解决现有开式热源塔冬季运行时塔内溶液吸湿量大而影响系统运行安全的缺陷,本文设计了一种具有预凝功能的新型热源塔结构,分析了新型塔的运行过程,并对比研究了新型塔和普通塔在不同进口溶液温度、空气流量和溶液流量下的运行性能。实验结果表明,新型塔具有更强的换热性能和更低的溶液吸湿性。进口溶液温度由1℃上升到3℃时,新型塔的换热量相比于普通塔增加了0.62~0.24 k W,溶液吸湿量平均减少了0.13 g/s;空气流量由1.41 kg/s升高到2.17 kg/s,新型塔的换热量相比于普通塔增加了0.79~0.84 k W,溶液再生量平均增加了0.1 g/s;溶液流量由0.36 kg/s升高到0.68 kg/s,新型塔的换热量相比于普通塔增加了0.57~0.63 k W,溶液吸湿量平均减少了0.11 g/s。展开更多
The accurate analyses for a plate fin heat sink with the ability to control the temperature of the avionics devices within a pre-set controllable temperature range are required both in the process of circuit design an...The accurate analyses for a plate fin heat sink with the ability to control the temperature of the avionics devices within a pre-set controllable temperature range are required both in the process of circuit design and for the real-time temperature monitoring purposes. In order to provide an insight into the behavior of the temperature of a plate fin heat sink subjected non-uniform heat density on the surfaces, it is necessary to obtain accurate analytical solutions yielding explicit formulas relating the dissipated power to the temperature rise at any point of avionics devices. This paper presents a method for thermal simulation of a plate fin heat sink using an analytical solution of the three-dimensional heat equation resulting from an appropriate plate fin heat sink transient thermal model. The entire solution methodology is illustrated in detail on the particular examples of the plate fin heat sink subjected non-uniform heat density on the surfaces. The transient temperature profiles are obtained for different positions at the surface of the plate fin heat sink. The analytical results are compared with measurements made on the surface of the cold plate and it is found that they are in good agreement with an error of less than 3 K.展开更多
基金Project supported by the National Natural Science Foundation of China (No. 50776097)
文摘Analytically solving a three-dimensional (3-D) bioheat transfer problem with phase change during a freezing process is extremely difficult but theoretically important. The moving heat source model and the Green function method are introduced to deal with the cryopreservation process of in vitro biomaterials. Exact solutions for the 3-D temperature transients of tissues under various boundary conditions, such as totally convective cooling, totally fixed temperature cooling and a hybrid between them on tissue surfaces, are obtained. Furthermore, the cryosurgical process in living tissues subject to freezing by a single or multiple cryoprobes is also analytically solved. A closed-form analytical solution to the bioheat phase change process is derived by considering contributions from blood perfusion heat transfer, metabolic heat generation, and heat sink of a cryoprobe. The present method is expected to have significant value for analytically solving complex bioheat transfer problems with phase change.
文摘为解决现有开式热源塔冬季运行时塔内溶液吸湿量大而影响系统运行安全的缺陷,本文设计了一种具有预凝功能的新型热源塔结构,分析了新型塔的运行过程,并对比研究了新型塔和普通塔在不同进口溶液温度、空气流量和溶液流量下的运行性能。实验结果表明,新型塔具有更强的换热性能和更低的溶液吸湿性。进口溶液温度由1℃上升到3℃时,新型塔的换热量相比于普通塔增加了0.62~0.24 k W,溶液吸湿量平均减少了0.13 g/s;空气流量由1.41 kg/s升高到2.17 kg/s,新型塔的换热量相比于普通塔增加了0.79~0.84 k W,溶液再生量平均增加了0.1 g/s;溶液流量由0.36 kg/s升高到0.68 kg/s,新型塔的换热量相比于普通塔增加了0.57~0.63 k W,溶液吸湿量平均减少了0.11 g/s。
基金Aeronautical Science Foundation of China (2008ZC52024)
文摘The accurate analyses for a plate fin heat sink with the ability to control the temperature of the avionics devices within a pre-set controllable temperature range are required both in the process of circuit design and for the real-time temperature monitoring purposes. In order to provide an insight into the behavior of the temperature of a plate fin heat sink subjected non-uniform heat density on the surfaces, it is necessary to obtain accurate analytical solutions yielding explicit formulas relating the dissipated power to the temperature rise at any point of avionics devices. This paper presents a method for thermal simulation of a plate fin heat sink using an analytical solution of the three-dimensional heat equation resulting from an appropriate plate fin heat sink transient thermal model. The entire solution methodology is illustrated in detail on the particular examples of the plate fin heat sink subjected non-uniform heat density on the surfaces. The transient temperature profiles are obtained for different positions at the surface of the plate fin heat sink. The analytical results are compared with measurements made on the surface of the cold plate and it is found that they are in good agreement with an error of less than 3 K.