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 …
Analysis of the ultrafast transient heat transport in sub 7-nm SOI FinFETs technology nodes using phonon hydrodynamic equation
During the last ten years, the miniaturization of nanoscale field-effect transistors (FETs)
predicted by Moore's law has confronted an aggressive scaling down of the FET architecture …
predicted by Moore's law has confronted an aggressive scaling down of the FET architecture …
Discrete heat conduction equation: Dispersion analysis and continuous limits
SL Sobolev - International Journal of Heat and Mass Transfer, 2024 - Elsevier
The dispersion relation in ω-k space has been derived and analyzed for discrete heat
conduction equation (DE). The DE is inherently nonlocal both in time and space and can be …
conduction equation (DE). The DE is inherently nonlocal both in time and space and can be …
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 …
Heat transport on ultrashort time and space scales in nanosized systems: Diffusive or wave-like?
SL Sobolev, W Dai - Materials, 2022 - mdpi.com
The non-Fourier effects, such as wave-like temperature propagation and boundary
temperature jumps, arise in nanosized systems due to the multiple time and space scales …
temperature jumps, arise in nanosized systems due to the multiple time and space scales …
Consistent description of phase-change processes in substances with density contrast: a finite volume based approach
Phase-change is an important phenomenon and usually it causes a concomitant change in
the density of the underlying materials. As applications of phase-change grow, it is important …
the density of the underlying materials. As applications of phase-change grow, it is important …
The Stefan problem with variable thermophysical properties and phase change temperature
TG Myers, MG Hennessy… - International Journal of …, 2020 - Elsevier
In this paper we formulate a Stefan problem appropriate when the thermophysical properties
are distinct in each phase and the phase-change temperature is size or velocity dependent …
are distinct in each phase and the phase-change temperature is size or velocity dependent …
Heat conduction across 1D nano film: Local thermal conductivity and extrapolation length
SL Sobolev, IV Kudinov - International Journal of Thermal Sciences, 2021 - Elsevier
We analyze the short scale effects on the 1D steady-state heat conduction across a nano
film using discrete variable model (DVM). The DVM allows for both diffusive and ballistic …
film using discrete variable model (DVM). The DVM allows for both diffusive and ballistic …
[HTML][HTML] Moving Taylor series for solving one-dimensional one-phase Stefan problem
A Elsaid, SM Helal - Alexandria Engineering Journal, 2022 - Elsevier
In this work, a modified form of Taylor series is proposed which we call the moving Taylor
series. We prove theorems that formulate coefficients of the proposed series along with the …
series. We prove theorems that formulate coefficients of the proposed series along with the …
Discrete heat equation for a periodic layered system with allowance for the interfacial thermal resistance: General formulation and dispersion analysis
SL Sobolev - Physical Review E, 2024 - APS
Discrete heat equations for the multilayered periodic systems with allowance for the thermal
resistance between the layers and corresponding dispersion relations in ω− k space have …
resistance between the layers and corresponding dispersion relations in ω− k space have …