Contact melting materials with non-linear properties

Abstract

The effects of nonlinear thermophysical properties on thermal and flow fields of the molten thin layer produced by contact melting are investigated. The molten layer is assumed to be a non-Newtonian fluid which has temperature-dependent viscosity and thermal conductivity. Heat transfer to solid and temperature field in solid with temperature-dependent conductivity are obtained. Choosing the heating surface of parabolic shape significantly reduce calculations, since closed-form solutions are obtained. Closed-form solutions for velocity, temperature, pressure, and thickness of the molten layer, and criterions to indicate the importance of taking into account the effects of nonlinear properties are provided.