Melting Model for a Conventional Transition Section Using Screw Rotation Physics

1 Melting Model for a Conventional Transition Section Using Screw Rotation Physics 

In the classical literature analysis the system equations were manipulated to eliminate V y, the velocity of the solid bed consumption in the thickness direction (y direction), from the analysis by using the assumption that the solid bed reorganizes. This allowed a straightforward differential analysis and a closed form solution in the cross-channel x direction for solids melting. In this analysis, the y-direction velocity V y is retained as a variable because this facilitates the calculation of the change in bed thickness, which was found to be very important in the reevaluation of the literature data, as shown in Figs. 6.9 and 6.10. 

The nomenclature used here follows that used by Tadmor and Klein [8] as much as possible. Where deviations occur, a full explanation will be presented. A nomenclature list is presented at the end of the chapter. 

The velocity of the solid bed in the z direction, was defined by Tadmor and Klein. This velocity is set using the mass flow rate and the cross-sectional area at the entry to the transition section. 

The velocity of the solid bed in the x direction, due to screw rotation is as follows  

---