Mahmoud Alzoubi - Development of analytical solution for a two-phase

Journal article

Minghan Xu, Saad Akhtar, Ahmad F. Zueter, Victor Auger, M. Alzoubi, A. Sasmito
Journal of Heat Transfer, vol. 142(12), 2020

DOI

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APA Click to copy
Xu, M., Akhtar, S., Zueter, A. F., Auger, V., Alzoubi, M., & Sasmito, A. (2020). Development of analytical solution for a two-phase Stefan problem in artificial ground freezing using singular perturbation theory. Journal of Heat Transfer, 142(12).

Chicago/Turabian Click to copy
Xu, Minghan, Saad Akhtar, Ahmad F. Zueter, Victor Auger, M. Alzoubi, and A. Sasmito. “Development of Analytical Solution for a Two-Phase Stefan Problem in Artificial Ground Freezing Using Singular Perturbation Theory.” Journal of Heat Transfer 142, no. 12 (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, no. 12, 2020.

BibTeX Click to copy

@article{minghan2020a,
  title = {Development of analytical solution for a two-phase Stefan problem in artificial ground freezing using singular perturbation theory},
  year = {2020},
  issue = {12},
  journal = {Journal of Heat Transfer},
  volume = {142},
  author = {Xu, Minghan and Akhtar, Saad and Zueter, Ahmad F. and Auger, Victor and Alzoubi, M. and Sasmito, A.}
}

Abstract

Artificial ground freezing (AGF) has historically been used to stabilize underground structure. Numerical methods generally require high computational power to be applicable in practice. Therefore, it is of interest to develop accurate and reliable analytical frameworks for minimizing computational cost. This paper proposes a singular perturbation solution for a two-phase Stefan problem that describes outward solidification in AGF. Specifically, 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. Further, 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.