Stefan problems for the diffusion–convection equation with temperature-dependent thermal coefficients

Error estimates of finite element methods for nonstationary thermal convection problems with temperature-dependent coefficients

An integral equation model for Stefan problems with multiple phases

A boundary element formulation for the solution of multiple moving boundary problems is presented and tested herein. A heat transfer problem involving heating of solid, melting of solid and vaporisation of liquid is considered. Numerical results show that the boundary element method is more suitable and more accurate than both finite difference and finite element methods for this kind of problems

Temperature-Dependent Dispersion Coefficients of Alkali Metals Using Equation of State

In this study, a temperature-dependent of the dispersion coefficients is calculated from equation state.The Lennard-Jones LJ (12-6-3) effective pair potential function and simple thermodynamic argumentwith the input PVT data of liquid metals are used to calculate the dispersion coefficients. The dispersioncoefficients ( , , ) 3 6 12 C C C are found to be a linear function of 1/T1+α , where T is...

The Classical One-phase Stefan Problem with Temperature-dependent Thermal Conductivity and a Convective Term

We study a one-phase Stefan problem for a semi-infinite material with temperaturedependent thermal conductivity and a convective term with a constant temperature boundary condition or a heat flux boundary condition of the type −q0/ √ t (q0 > 0) at the fixed face x = 0. We obtain in both cases sufficient conditions for data in order to have a parametric representation of the solution of the simi...

Variation of Parameters Method for Thermal Analysis of Straight Convective- Radiative Fins with Temperature Dependent Thermal Conductivity

In this study, thermal performance across straight convecting- radiating fin with temperature dependent thermal conductivity is considered. The variation of parameters (VPM) is adopted to analyze the nonlinear higher order differential equations arising due to thermal conductivity and heat transfer coefficient on temperature distribution. Pertinent parameters such as thermo geometric and radiat...