Accession Number : AD0780781

Title :   Capillarity-Limited Steady-State Dendritic Growth. Part 1. Theoretical Development.

Descriptive Note : Semifinal rept. Oct 72-Oct 73,

Corporate Author : NAVAL RESEARCH LAB WASHINGTON D C

Personal Author(s) : Nash,Gerald E.

Report Date : 24 MAY 1974

Pagination or Media Count : 56

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)

Descriptors :   *Dendritic structure, *Crystal growth, *Solidification, Capillarity, Metals, Diffusion, Microstructure, Phase transformations, Supercooling, Numerical analysis, Differential equations

Subject Categories : Properties of Metals and Alloys
      Crystallography

Distribution Statement : APPROVED FOR PUBLIC RELEASE