Hybrid Laplace transform technique for Stefan problems with radiation-convection boundary condition

Chen Han-Taw, Lin Jae-Yuh

研究成果: Article同行評審

6 引文 斯高帕斯(Scopus)

摘要

The hybrid application of the Laplace transform technique and the finite difference method (FDM) to one-dimensional Stefan problems involving the radiative and convective boundary condition is studied. The radiative term is linearized by Taylor's series approximation, and then the above hybrid method is used. This scheme is obtained by the use of the Laplace transform technique for the time-dependent terms and the fixed-grid FDM for space domain. It can be found from various illustrated examples that excellent agreement is obtained between the present results and those of early works. For the phase-change problem subjected to the nonlinear boundary condition, three or four iterations are required to obtain a convergent result at a specific time. The present analysis also demonstrates that the application of the Laplace transform technique is no longer limited to phase-change problems with the linear boundary condition.

原文English
頁(從 - 到)3345-3351
頁數7
期刊International Journal of Heat and Mass Transfer
35
發行號12
DOIs
出版狀態Published - 1992 十二月

All Science Journal Classification (ASJC) codes

  • 凝聚態物理學
  • 機械工業
  • 流體流動和轉移過程

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