Numerical analysis of nonlinear multiphase Stefan problems

✍ Scribed by Tzai-Fu Cheng

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 202 KB
• Volume: 75
• Category: Article
• ISSN: 0045-7949
• DOI: 10.1016/s0045-7949(99)00071-1

✦ Synopsis

For some materials such as binary eutectic alloy, polymorphous materials, organic phase-change materials, and many others, the change of phases may take place over a temperature range. In the present study, a hybrid numerical method is employed to solve such multiphase Stefan problems with temperature-dependent thermal properties. The combination of Laplace transform technique, control-volume formulation and Taylor's series approximation is used to solve the nonlinear heat conduction equation. The moving heat source concept is used to treat the phase-change interface. The least-square iteration scheme is applied to determine the location of the phasechange interface. It will be found that the present hybrid numerical method is applicable to analyze nonlinear phasechange problems with more than one moving boundary.