Minghan Xu

Ph.D. (he/him)



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


Journal article


Minghan Xu, Saad Akhtar, Ahmad F Zueter, Mahmoud A Alzoubi, Laxmi Sushama, Agus P Sasmito
Applied Mathematics and Computation, vol. 408, Elsevier, 2021, p. 126343


Cite

Cite

APA   Click to copy
Xu, M., Akhtar, S., Zueter, A. F., Alzoubi, M. A., Sushama, L., & Sasmito, A. P. (2021). Asymptotic analysis of a two-phase Stefan problem in annulus: Application to outward solidification in phase change materials. Applied Mathematics and Computation, 408, 126343. https://doi.org/10.1016/j.amc.2021.126343


Chicago/Turabian   Click to copy
Xu, Minghan, Saad Akhtar, Ahmad F Zueter, Mahmoud A Alzoubi, Laxmi Sushama, and Agus P Sasmito. “Asymptotic Analysis of a Two-Phase Stefan Problem in Annulus: Application to Outward Solidification in Phase Change Materials.” Applied Mathematics and Computation 408 (2021): 126343.


MLA   Click to copy
Xu, Minghan, et al. “Asymptotic Analysis of a Two-Phase Stefan Problem in Annulus: Application to Outward Solidification in Phase Change Materials.” Applied Mathematics and Computation, vol. 408, Elsevier, 2021, p. 126343, doi:10.1016/j.amc.2021.126343.


BibTeX   Click to copy

@article{xu2021a,
  title = {Asymptotic analysis of a two-phase Stefan problem in annulus: Application to outward solidification in phase change materials},
  year = {2021},
  journal = {Applied Mathematics and Computation},
  pages = {126343},
  publisher = {Elsevier},
  volume = {408},
  doi = {10.1016/j.amc.2021.126343},
  author = {Xu, Minghan and Akhtar, Saad and Zueter, Ahmad F and Alzoubi, Mahmoud A and Sushama, Laxmi and Sasmito, Agus P}
}

  • 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.

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