含非平衡相变的移动边界问题

1、Moving Boundary Problems with Non-Equilibrium Phase ChangeGuo-Xiang WangCollege of Power and Energy EngineeringState Key Laboratory of Multi-phase flowXian Jiaotong University, Xian(Summer 2007)Description:This course introduces students the basic physics of moving boundary problems with non-equilib

2、rium phase change including rapid evaporation, melting and/or rapid solidification, and the corresponding modeling techniques. The course will provide students a systematic understanding of the common physical principles that govern various engineering processes involving non-equilibrium phase chang

3、e. Thermodynamic and kinetic conditions of non-equilibrium phase change will be discussed and representative models for melting, solidification, and evaporation will be presented. Examples are used to illustrate how to set up the right mathematical conditions at the giving moving boundary. Some basi

4、c numerical techniques of tracking a moving boundary will be also examined in detail. Textbook:No textbook is required. Handout will be given in lecture.Grading:Homework20%Project report60%Presentation20%Outline:1. Introduction to moving boundary problem with phase change2. Heat and Mass Transfer of

5、 phase change3. Thermodynamics and Kinetics of non-equilibrium phase change4. Mathematical models of several moving boundary problems with phase change*Splat solidificationDroplet evaporation and cooling in cryogen spray cooling Droplet heating, melting, and evaporation in plasma thermal sprayFlash

6、evaporation of liquid dropletIntracellular ice formation in tissueDissolution and IMC formation in composite solder5. Interface tracking techniques for moving boundary problems with phase changeFixed grid methodCoordinate transformation*: These are also the topics for student project. Two or three s

7、tudents will be grouped to conduct their project. The tasks of the project include build up the right physical model of the problem, set up the mathematic formulation of the model, and develop a one-dimensional code to perform a detailed numerical analysis.含非平衡相变的移动边界问题教学大纲第一章 带相变移动边界问题简介 2学时第二章 相变过

8、程的热质传递 2学时第三章 非平衡相变的热力学和动力学2学时第四章 几类带相变移动边界问题的数学模型6学时1) 薄片材料快速凝固2) 低温喷雾冷却过程中的液滴蒸发和冷却 3) 等离子热喷涂中的液滴加热、熔化和蒸发4) 液滴闪蒸5) 组织细胞内冰的形成6) 复合焊锡材料中液滴溶解与金属间化合物（IMC）的形成第五章 带相变的移动边界问题界面追踪技术4学时1) 固定网格法2) 坐标变换References:1. G.X. Wang and V. Prasad, 2000, “Rapid Solidification: Fundamentals and Modeling,” Annual Revie

9、w in Heat Transfer, (Ed. C.L. Tien), Vol. 11, pp. 207-305, 2000.2. G.-X. Wang and V. Prasad, 2000, “Microscale Heat and Mass Transfer and Non-Equilibrium Phase Change in Rapid Solidification,” Mater. Sci. Eng. A, Vol. 292, No. 2, pp. 142-148.3. G. Aguilar, B. Majaron, W. Verkruysse, Y. Zhou, J.S. Ne

10、lson, and E.J. Lavernia, Theoretical and experimental analysis of droplet diameter, temperature, and evaporation rate evolution in cryogenic sprays, Intern. J. Heat Mass Transfer, Vol. 44, pp. 3201-3211, 2001.4. S.S. Sazhin, T. Kristyadi, W.A. Abdelghaffar, M.R. Heikal, “Models for fuel droplet heat

11、ing and evaporation: comparative analysis,” Fuel, Vol. 85, pp. 1613-1630, 2006. 5. D. Turnbull and J.C. Fisher, “Rate of Nucleation in Condensed Systems,” J. Chem. Phys., Vol. 17, pp. 71-73, 1949.6. M. Toner, E.G. Cravalho, and M. Karel, “Thermodynamics and Kinetics of Intracellular Ice Formation du

12、ring Freezing of Biological Cells,” J. Appl. Phys., Vol. 67, pp. 1582-1593.7. Y.P. Wan, V. Prasad, G.-X. Wang, S. Sampath, and J. Fincke, 1999, "Modeling of Powder Particle Heating and Evaporation in Plasma Spraying Process", J. Heat Transfer, Vol. 121, pp. 691-699.8. C.G. Levi and R. Mehr

13、abian, “Heat Flow during Rapid Solidification of Undercooled Metal Droplets, Metall. Trans. A, Vol. 13A, pp. 221-234, 1982.9. C.G. Levi, “The Evolution of Microcrystalline structures in supercooled metal powders,” Metall. Trans. A, Vol. 19A, pp. 699-708.10. V.R. Voller, C.R. Swaminathan, and B.G. Th

14、omas, “Fixed Grid Techniques for Phase Change Problems: A Review,” Int. J. Num. Methods Eng., Vol. 30, pp. 875-898, 1990.11. G.X. Wang, V. Prasad, and E.F. Matthys, 1997, “An InterfaceTracking Numerical Method for Rapid Planar Solidification of Binary Alloys with Application to Microsegregation,” Mater. Sci. Eng. A, Vol. A225, pp.4758.12. G.X. Wang and E.F. Matthys, 1992, “Numer