Development of conjugate reduced-order models for selective artificial ground freezing: Thermal and computational analysis

AF Zueter, M Xu, MA Alzoubi, AP Sasmito - Applied Thermal Engineering, 2021 - Elsevier
Selective artificial ground freezing (S-AGF) applications usually extend to very deep levels
(more than 400 meters); numerical modeling of such large AGF applications encounters two …

Development and validation of a semi-analytical framework for droplet freezing with heterogeneous nucleation and non-linear interface kinetics

S Akhtar, M Xu, AP Sasmito - International Journal of Heat and Mass …, 2021 - Elsevier
We present a novel, semi-analytical framework which accurately predicts every stage of
droplet freezing. Supercooling degree of the freezing droplet is computed by coupling the 1 …

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

M Xu, S Akhtar, AF Zueter, MA Alzoubi… - Applied Mathematics …, 2021 - Elsevier
Stefan problems provide one of the most fundamental frameworks to capture phase change
processes. The problem in cylindrical coordinates can model outward solidification, which …

Asymptotic analysis of a two-phase Stefan problem in an annulus with the convective boundary

M Xu, S Akhtar, M Mohit, AF Zueter… - International Journal of …, 2024 - Elsevier
The Stefan problem (whether in its classical form or not) has assumed that the interface
moves instantaneously with time as a prescribed initial condition. This assumption is valid in …

Analytical Modeling of Metal Foam Composite Phase Change Materials (PCM) in Thermal Energy Storage Using Asymptotic Analysis

M Xu, S Akhtar, AF Zueter… - ASME …, 2023 - asmedigitalcollection.asme.org
The use of phase change materials (PCMs) for thermal energy storage can release or
absorb a significant amount of latent heat during the freezing or melting process, offering a …

Development of Modified Perturbation Solutions to the One-Phase Stefan Problems With a Convective Boundary

M Xu, M Mohit, S Akhtar… - ASME …, 2023 - asmedigitalcollection.asme.org
The classical Stefan problem is used to track the moving solid-liquid interface during the
freezing process. Perturbation theory has often been applied to find an approximate …

Analytical modeling of outward solidification with convective boundary in cylindrical coordinates

M Xu, S Akhtar, AF Zueter… - ASME …, 2020 - asmedigitalcollection.asme.org
Solidification consists of three stages at macroscale: subcooling, freezing and cooling.
Classical two-phase Stefan problems describe freezing (or melting) phenomenon initially …