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Smooth modeling of solidification based on the latent heat evolution approach

Tavakoli, R ; Sharif University of Technology | 2017

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  1. Type of Document: Article
  2. DOI: 10.1007/s00170-016-9012-7
  3. Publisher: Springer London , 2017
  4. Abstract:
  5. The regularity problem of heat conduction equation corresponding to modeling of solidification based on the latent heat evolution approach is considered in the present study. It is shown that the corresponding PDE is actually semi-smooth, an issue that has not been taken into account explicitly in the related literature. A general smoothing (regularization) strategy is introduced to solve this problem. More specifically, the smoothed version of the effective heat capacity method is presented in this work. The presented approach is applied to model the quasi steady-state heat transfer problem in the continuous casting process. Numerical experiments demonstrate the success of the presented regularization strategy. © 2016, Springer-Verlag London
  6. Keywords:
  7. Effective heat capacity ; Phase change ; Continuous casting ; Heat conduction ; Heat transfer ; Latent heat ; Solidification ; Specific heat ; Continuous casting process ; Heat conduction equations ; Numerical experiments ; Phase Change ; Regularization ; Regularization strategies ; Smoothing ; Solidification modeling ; Problem solving
  8. Source: International Journal of Advanced Manufacturing Technology ; Volume 88, Issue 9-12 , 2017 , Pages 3041-3052 ; 02683768 (ISSN)
  9. URL: https://link.springer.com/article/10.1007/s00170-016-9012-7