Asymptotic analysis of a two-phase Stefan problem in annulus: Application to outward solidification in phase change materials

作者：

Highlights：

• An approximate analytical solution for a two-phase Stefan problem is developed based on asymptotic analysis with fully phase-dependent thermophysical properties.

• The presented asymptotic solution models outward solidification in cylindrical coordinates for phase change materials (PCMs).

• The analytical solution has an excellent agreement with numerical results by the enthalpy method, yet with much lesser computational cost.

• A wide range of thermophysical properties, geometric ratios, and Stefan numbers for the applications of PCMs are investigated.

摘要

•An approximate analytical solution for a two-phase Stefan problem is developed based on asymptotic analysis with fully phase-dependent thermophysical properties.•The presented asymptotic solution models outward solidification in cylindrical coordinates for phase change materials (PCMs).•The analytical solution has an excellent agreement with numerical results by the enthalpy method, yet with much lesser computational cost.•A wide range of thermophysical properties, geometric ratios, and Stefan numbers for the applications of PCMs are investigated.

论文关键词：Phase change,Two-phase Stefan problems,Outward solidification,Analytical solution,Asymptotic analysis,Phase change material (PCM)

论文评审过程：Received 2 November 2020, Revised 20 April 2021, Accepted 2 May 2021, Available online 23 May 2021, Version of Record 23 May 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126343