先进材料疑固实验室 Laboratory of Advanced Materials Solidification 1896 1920 1987 2006 Transport phenomena in solidification(1) Dr.Mingxu Xia nced Ma 上浒充通大学 SHANGHAI JIAO TONG UNIVERSITY
1896 1920 1987 2006 Transport phenomena in solidification (1) Dr. Mingxu Xia
先进材料疑固实验室 Outline Laboratory of Advanced Materials Solidification Brief introduction Momentum transfer Energy transfer ⊕ Mass transfer Commonalities among phenomena 上游充通大￥ SHANGHAI JIAO TONG UNIVERSITY
Outline Brief introduction Momentum transfer Energy transfer Mass transfer Commonalities among phenomena
先进材料疑固实验室 Brief introduction Laboratory of Advanced Materials Solidification Transport phenomena concerns the exchange of mass,energy, and momentum between observed and studied systems.While it draws from fields as diverse as continuum mechanics and thermodynamics. Mass,momentum,and energy transport all share a very similar mathematical framework,and the parallels between them are exploited in the study of transport phenomena to draw deep mathematical connections that often provide very useful tools in the analysis of one field that are directly derived from the others. 上浒充通大学 SHANGHAI JIAO TONG UNIVERSITY
Brief introduction Transport phenomena concerns the exchange of mass, energy, and momentum between observed and studied systems. While it draws from fields as diverse as continuum mechanics and thermodynamics. Mass, momentum, and energy transport all share a very similar mathematical framework, and the parallels between them are exploited in the study of transport phenomena to draw deep mathematical connections that often provide very useful tools in the analysis of one field that are directly derived from the others
先进材料疑固实验室 Brief introduction Laboratory of Advanced Materials Solidification Theoretical framework: Three phenomena: Three experimental laws: Momentum transport Newton's law of viscosity Energy transport *Fourier law of heat conduction Mass transport Fick's first law Three conservation laws: Three analytic methods: Conservation law of mass The overall balance method Newton's first law Micro-element balance method The 1st law of Thermodynamics *Shell balance method 上游文通大学 SHANGHAI JIAO TONG UNIVERSITY
Brief introduction Three phenomena： Momentum transport Energy transport Mass transport Three experimental laws: Newton’s law of viscosity Fourier law of heat conduction Fick’s first law Three analytic methods： The overall balance method Micro-element balance method Shell balance method Three conservation laws： Conservation law of mass Newton’s first law The 1st law of Thermodynamics Theoretical framework:
先进材料疑固实验室 Brief introduction Laboratory of Advanced Materials Solidification Every aspect of transport phenomena is grounded in two primary concepts:the conservation laws and the constitutive equations. Almost all of these physical phenomena ultimately involve systems seeking their lowest energy state in keeping with the principle of minimum energy. ory a vanced Materi 上浒充通大学 SHANGHAI JIAO TONG UNIVERSITY
Brief introduction Every aspect of transport phenomena is grounded in two primary concepts : the conservation laws and the constitutive equations. Almost all of these physical phenomena ultimately involve systems seeking their lowest energy state in keeping with the principle of minimum energy