Rapid Melting and Solidification of a Surface Due to a Moving Heat Flux,
Abstract
Rapid melting and solidification of a semi-infinite substrate subjected to a high intensity heat flux over a circular region on its bounding surface moving with a constant velocity is considered. General expressions are developed for the coefficients in the finite difference equation governing the heat transfer in moving orthogonal curvilinear coordinate systems. These expressions are reduced to their specific forms in terms of dimensionless nodal temperature and enthalpy for a moving oblate spheroidal coordinate system. Quasi-steady state conditions are assumed and the thermal properties of the substrate in the liquid and solid phase are considered constant and equal. It is also assumed that the substrate, pure aluminum used as example, melts and solidifies at a single temperature. Temperature distributions in the molten region and the adjacent heat affected zone are computed along with the liquid-solid interface shape, its velocity and other important solidification variables. Both uniform and Gaussian heat flux distributions within the circular region are considered. The results are presented in their most general form - in terms fo dimensionless numbers when possible.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 22, 1979
- Accession Number
- ADA092142
Entities
People
- R. Mehrabian
- S. C. Hsu
- S. Kou
Organizations
- University of Illinois Urbana–Champaign