Abstract
A slab, whose material properties are dependent on both temperature and position, is insulated on one face and heated on the other according to either prescribed heat flux or temperature, so that eventually it begins to melt. After melting has started, a portion of the molten material is instantaneously removed at some prescribed rate. It is shown that the solution of this melting problem is unique, and that, under certain conditions, larger rates of heating and/or ablation result in larger rates of melting and in higher temperatures. In order to arrive at these results just stated, it is first necessary to prove a uniqueness theorem and a comparison theorem for the nonlinear Fourier heat-conduction equation under various boundary conditions.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
