Minghan Xu

Ph.D. (he/him)



Development of analytical solution for a two-phase stefan problem in artificial ground freezing using singular perturbation theory


Journal article


Minghan Xu, Saad Akhtar, Ahmad F Zueter, Victor Auger, Mahmoud A Alzoubi, Agus P Sasmito
Journal of Heat Transfer, vol. 142, American Society of Mechanical Engineers Digital Collection, 2020


Cite

Cite

APA   Click to copy
Xu, M., Akhtar, S., Zueter, A. F., Auger, V., Alzoubi, M. A., & Sasmito, A. P. (2020). Development of analytical solution for a two-phase stefan problem in artificial ground freezing using singular perturbation theory. Journal of Heat Transfer, 142. https://doi.org/10.1115/1.4048137


Chicago/Turabian   Click to copy
Xu, Minghan, Saad Akhtar, Ahmad F Zueter, Victor Auger, Mahmoud A Alzoubi, and Agus P Sasmito. “Development of Analytical Solution for a Two-Phase Stefan Problem in Artificial Ground Freezing Using Singular Perturbation Theory.” Journal of Heat Transfer 142 (2020).


MLA   Click to copy
Xu, Minghan, et al. “Development of Analytical Solution for a Two-Phase Stefan Problem in Artificial Ground Freezing Using Singular Perturbation Theory.” Journal of Heat Transfer, vol. 142, American Society of Mechanical Engineers Digital Collection, 2020, doi:10.1115/1.4048137.


BibTeX   Click to copy

@article{xu2020a,
  title = {Development of analytical solution for a two-phase stefan problem in artificial ground freezing using singular perturbation theory},
  year = {2020},
  journal = {Journal of Heat Transfer},
  publisher = {American Society of Mechanical Engineers Digital Collection},
  volume = {142},
  doi = {10.1115/1.4048137},
  author = {Xu, Minghan and Akhtar, Saad and Zueter, Ahmad F and Auger, Victor and Alzoubi, Mahmoud A and Sasmito, Agus P}
}

  • This paper proposes a singular perturbation solution for a two-phase Stefan problem that describes outward solidification in AGF. 
  • The singular perturbation method separates two distinct temporal scales to capture the subcooling and freezing stages in the ground. 
  • The ground was considered as a porous medium with volume-averaged thermophysical properties. 
  • Stefan number was assumed to be small, and effects of a few site-dependent parameters were investigated. 
  • The analytical solution was verified by numerical results and found to have similar conclusions yet with much lesser computational cost. 

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