Phase change materials (PCMs) having a large latent heat during solid-liquid phase
transition are promising for thermal energy storage applications. However, the relatively low …

In this paper, the transient temperature response of a cracked plate under thermal shock is
investigated. To eliminate the problems caused by the assumption of infinite heat …

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 …

In recent years, investigations of nanoscale heat transfer have been regarded as a critical
challenge for thermal engineering applications. Therefore, improving the thermal conduction …

Stefan problems provide one of the most fundamental frameworks to capture phase change
processes. The problem in cylindrical coordinates can model outward solidification, which …

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 …

We investigate the one-dimensional growth of a solid into a liquid bath, starting from a small
crystal, using the Guyer-Krumhansl and Maxwell-Cattaneo models of heat conduction. By …

We model the growth of a one-dimensional solid by considering a modified Fourier law with
a size-dependent effective thermal conductivity and a Newton cooling condition at the …

Using an approach based on the diffusion analog of the Cattaneo–Vernotte differential
model, we find the exact analytical solution to the corresponding time-dependent linear …

We describe the nonlocal heat transport across a thin film in contact with two thermal baths
using discrete variable model. The effective thermal conductivities, the boundary …