Solving a phase change problem in materials with internal heat generation
Organizer
Speaker
Lyudmyla Barannyk
Time
Thursday, July 10, 2025 2:00 PM - 3:00 PM
Venue
A6-101
Online
Zoom 482 240 1589
(BIMSA)
Abstract
We investigate the evolution of the solid-liquid front during melting and solidification in materials with internal heat generation in a cylinder. On the outer boundary of the cylinder we prescribe temperature, heat flux or consider a convective boundary condition. We use a sharp interface approach and assume that the motion of the front is slow relative to the temperature variations in both phases of the material. We derive infinite series solutions for the temperature in each phase as well as a nonlinear first-order differential equation that models the propagation of the interface. Additionally we solve the problem using the catching of the front into a node and the Ansys Fluent enthalpy-porosity method to compute solutions numerically. The latter incorporates a mushy zone that is a mixed solid-liquid transition zone. All three methods provide consistent results, especially when the mushy zone is taken into account. The series and front catching solutions develop a finite time overheated zone during melting, whereas the enthalpy solutions do not exhibit this phenomenon. We show that the evolution of the overheated and mushy zones is very similar in shape and time for prescribed temperature and heat flux boundary conditions.