Bounds and approximate solutions to linear problems with nonlinear boundary conditions: Solidification of a slab
David Glasser, Jochen Kern · AIChE Journal · 1978
Abstract In solidification, one is primarily interested in the movement of the solid‐liquid interface and not in the details of the internal temperature distribution. This is parallelled in many other processes of practical interest. Because of the linearity of the governing equation, one may readily obtain an integral relationship between the system variables, as expressed by the moment equations. By further introducing physically reasonable assumptions, one obtains bounding or approximate solutions, some of which are simple but accurate analytic expressions.