Capillarity-Limited Steady-State Dendritic Growth. Part 1. Theoretical Development.
Abstract
A set of integro-differential equations describing steady-state nonisothermal dendritic growth is developed via a time-dependent approach. The steady-state equations are studied in detail for the case of isotropic, capillarity-limited growth, and it is shown that the equations assume a form particularly suitable for solution by successive linearization about the known isothermal solution. Of major importance is that the conditions necessary for the existence of a solution to the linearized equations provide a theoretical estimate of the relationship between growth rate and supercooling. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 24, 1974
- Accession Number
- AD0780781
Entities
People
- Gerald E. Nash
Organizations
- United States Naval Research Laboratory