Complex Freezing-Melting Interfaces in Fluid Flow

On the importance of solid deformations in convection-dominated liquid/solid phase change of pure materials

“…Finally, in 1986, with the well-known experiment of melting (solidification) of a pure gallium slab heated (cooled) from a vertical side [23], Gau & Viskanta definitely confirmed the importance of natural convection even in this case of low Prandtl material. Then, the analysis of the mechanisms of solidifying/melting systems, both via experimental work and via numerical simulation, has been especially focused on the characterization of the fluid dynamics of the melt and its effects on the process [20], and, in most cases, the processes have been classified as convection dominated ones [33].…”

A Predictive Model for Heat Flow During Crystallization of Semi-Crystalline Polymers

“…Modes of Energy Flow; conduction [9][10][11][12], convection [13][14][15][16][17][18] and natural convection [19][20][21][22] 2. Type of Problem Formulation; enthalpy [10,23,24] or temperature [11,25] 3.…”

“…at Monash University on April 12, 2015 jtc.sagepub.com Downloaded from Before we proceed to the next time step, we update our solid and liquid domain using the new position of the interface [Equations (16) and (17)]. This requires that the mesh distribution in each domain be updated after each time step.…”

Numerical simulation of simultaneous freezing–melting problems with natural convection

“…In the analytical solution the temperature distribution and the rate of displacement of the interfaces are described by a set of four expressions of the type erf(t) and a set of constants to be determined by the material properties and initial temperatures (Carslaw and Jaeger, 1959). After the analytical solution was published, several experimental and analytical studies were performed by Epstein (1977) and Epstein and Cheung (1983), considering initially solid bodies in contact with a flow of initially molten material. An outstanding aspect of the simultaneous phase change systems is that the frozen liquid layer (crust) does not have a solid surface to stick to, hence a force may remove (mechanical stability) the crust (Epstein, 1977).…”