Melting and solidification with internal radiative transfer—A generalized phase change model

On the hypothesis of internal phase change

“…Melting could occur, for example, inside the solid if the internal temperature of the substance is higher than its fusion temperature provided that heat is generated inside the material leading to its internal melting. This phenomenon has been discussed during the least three decades [1][2][3][4][5][6][7][8]; however, the hypothesis still remains unvalidated, because there are no experimental data to definitively confirm this hypothesis.…”

“…Diaz and Viskanta [5,6] investigated the melting of n-octadecane by an external radiation source and observed no gmushyh (two-phase) region and no internal melting occurred in their experiments. Chan et al [7] argued that g...the macroscopic end results are obvious, namely, radiant heat sources produce internal melting.h However, their supposition remains to be proven theoretically or experimentally.…”

Analysis of solidification and melting of PCM with energy generation

“…Some studies are driven by interest in microwave thawing and laser heating [2][3][4] as well as nuclear reactor core disruptive accidents [5][6][7][8]. Related studies on phase change due to attenuation of external radiation flux in non-opaque media find applications in energy storage in solar collectors [9][10][11].…”

“…Complicating factors such as geometry, temperature dependent properties, liquid motion, radiation flux in non-opaque media, and material with internal heat source/sink, are usually accounted for using numerical or finite difference techniques [2][3][4][5][6][7][8][9][10][11][12][13][14][15]. On the other hand there are numerous approximate analytic solutions based on a variety of mathematical techniques such as integral, variational, perturbation, and quasi-steady.…”

Front tracking method in modeling transport phenomena accompanying liquid–solid phase transition in binary alloys and semitransparent media

“…The phase change process in semi-transparent materials, such as melting or solidification, may occur with either discrete SLI [2,3] or with an isothermal two-phase zone developing between pure liquid and pure solid phases and induced by volumetric thermal radiation [4][5][6][7]. In pure or doped semi-transparent materials under strictly controlled conditions (e.g.…”