Drag-induced Melt Removal

We consider an infinite slab of isotropic homogenous solid of width VK pressed against a moving hot plate (Fig. 5.12). A highly sheared, thin film of melt is formed between the 

We are seeking a solution for the rate of melting and the temperature distribution of the emerging melt. Clearly, these variables will be functions of the physical properties of the solid, the plate temperature and velocity, and the width of the solid slab. 

The drag-removal melting mechanism was discovered and mathematically modeled by Tadmor (27) in connection to melting in SSEs (see Section 9.3). It was further rehned, experimentally, verihed, and formulated as a self-contained computer package by Tadmor et al. (28-31). Later Vermeulen et al. (32), and Sundstrom and Lo (26) and Sundstrom and Young (33) analyzed the problem both experimentally and theoretically Mount (34) measured experimental rates of melting, and Pearson (35) analyzed the theoretical problem mathematically in detail, as shown in Fig. 5.12. In this section we follow Pearson s discussion. 

The solid interface has a small velocity in the negative y direction that may slowly vary with x. Yet the solid is rigid enough to sustain the shear stresses in the him and to prohibit the development of an x-direction interface velocity. We are now in a position to state the 

Power Law (or Newtonian) fluid with temperature-dependent viscosity  

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Fig. 5.3 Schematic representation of drag-induced melt removal and pressure-induced melt removal mechanisms.

Removal of the melt, also discussed in Section 5.1, is made possible, in principle, by two mechanisms drag-induced flow and pressure-induced flow (Fig. 5.4). In both cases, the molten layer must be sheared, leading to viscous dissipation. The latter provides an additional, important source of thermal energy for melting, the rate of which can be controlled externally either by the velocity of the moving boundary in drag-induced melt removal or the external force applied to squeeze the solid onto the hot surface, in pressure-induced melt removal. 

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