The inward solidification of a liquid cylinder with periodic axial perturbation of the boundary temperature or heat flux

This paper considers the inward solidification of liquid cylinders (initial ly at fusion temperature) whose boundary values vary slightly with position axially and periodically along the cylinder. It is therefore analogous to the work of Gammon and Howarth [1] who considered similar problems, but wit h angular variation around the cylinder. As in [1] the problems are solved analytically in the large Stefan number approximation, and in terms of line arised perturbations of the slight axial variation. This preliminary invest igation will form the thermal element of a subsequent investigation into th e thermo-elastic stresses and contact pressure in a solidifying cylindrical ingot, following the methods of Hector et al. [5] (C) 2000 Elsevier Scienc e Ltd.