含非平衡相變的移動(dòng)邊界問(wèn)題

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.含非平衡相變的移動(dòng)邊界問(wèn)題教學(xué)大綱第一章 帶相變移動(dòng)邊界問(wèn)題簡(jiǎn)介 2學(xué)時(shí)第二章 相變過(guò)

8、程的熱質(zhì)傳遞 2學(xué)時(shí)第三章 非平衡相變的熱力學(xué)和動(dòng)力學(xué)2學(xué)時(shí)第四章 幾類帶相變移動(dòng)邊界問(wèn)題的數(shù)學(xué)模型6學(xué)時(shí)1) 薄片材料快速凝固2) 低溫噴霧冷卻過(guò)程中的液滴蒸發(fā)和冷卻 3) 等離子熱噴涂中的液滴加熱、熔化和蒸發(fā)4) 液滴閃蒸5) 組織細(xì)胞內(nèi)冰的形成6) 復(fù)合焊錫材料中液滴溶解與金屬間化合物（IMC）的形成第五章 帶相變的移動(dòng)邊界問(wèn)題界面追蹤技術(shù)4學(xué)時(shí)1) 固定網(wǎng)格法2) 坐標(biāo)變換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