A comprehensive review of modeling water solidification for droplet freezing applications
Various mathematical approaches undertaken to model all stages of droplet freezing are
reviewed. The literature is rife with theoretical, experimental, and numerical treatments of the …
reviewed. The literature is rife with theoretical, experimental, and numerical treatments of the …
Multi-scale analysis for solidification of phase change materials (PCMs): experiments and modeling
We present a multi-scale solidification framework for pure substances using laboratory
experiments and mathematical modeling. The multi-scale phenomena of solidification are …
experiments and mathematical modeling. The multi-scale phenomena of solidification are …
Development and validation of a semi-analytical framework for droplet freezing with heterogeneous nucleation and non-linear interface kinetics
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 …
droplet freezing. Supercooling degree of the freezing droplet is computed by coupling the 1 …
[HTML][HTML] Survival, extinction, and interface stability in a two-phase moving boundary model of biological invasion
We consider a moving boundary mathematical model of biological invasion. The model
describes the spatiotemporal evolution of two adjacent populations: each population …
describes the spatiotemporal evolution of two adjacent populations: each population …
Modeling residual thermal stresses in layer-by-layer formation of direct metal laser sintering process for different scanning patterns for 316L stainless steel
Purpose The purpose of this study is to develop a novel comprehensive three-dimensional
computational model to predict the transient thermal behavior and residual stresses …
computational model to predict the transient thermal behavior and residual stresses …
Asymptotic analysis of a two-phase Stefan problem in annulus: Application to outward solidification in phase change materials
Stefan problems provide one of the most fundamental frameworks to capture phase change
processes. The problem in cylindrical coordinates can model outward solidification, which …
processes. The problem in cylindrical coordinates can model outward solidification, which …
Development and validation of an asymptotic solution for a two-phase Stefan problem in a droplet subjected to convective boundary condition
Droplet solidification is governed by classical Stefan problems which have been commonly
treated as a single-phase problem by the majority of the studies in the literature. This …
treated as a single-phase problem by the majority of the studies in the literature. This …
Development of analytical solution for a two-phase Stefan problem in artificial ground freezing using singular perturbation theory
Artificial ground freezing (AGF) has historically been used to stabilize underground structure.
Numerical methods generally require high computational power to be applicable in practice …
Numerical methods generally require high computational power to be applicable in practice …
[HTML][HTML] A simple model for latent thermal energy storage systems with encapsulated phase-change material
FB Planella - International Journal of Heat and Mass Transfer, 2025 - Elsevier
Efficient thermal energy storage systems are called to be a key part of any successful
transition to a net zero future. Latent thermal energy storage provides high energy density …
transition to a net zero future. Latent thermal energy storage provides high energy density …
Thermal imaging-based state estimation of a Stefan problem with application to cell thawing
The Stefan problem describes the evolution of the interface between two phases of a
material undergoing phase change. Its formulation has been applied to model and solve a …
material undergoing phase change. Its formulation has been applied to model and solve a …