A two-dimensional transient model for convective heat transfer and surface tension driven fluid flow is developed. The model describes the transient behavior of the heat transfer process of a stationary band source. Semi-quantitative understanding of scanning is obtained by a coordinate transformation. The non-dimensional forms of the equations are derived and four dimensionless parameters are identified, namely, Peclet number (Pe), Prandtl number (Pr), surface tension number (S), and dimensionless melting temperature (T//m*). Their governing characteristics and their effects on pool shape, cooling rate, velocity field, and solute redistribution are discussed. A numerical solution is obtained and presented. Quantitative effects of Prandtl number and surface tension number on surface velocity, surface temperature, pool shape, and cooling rate are presented graphically.
|Original language||English (US)|
|Number of pages||10|
|Journal||Metallurgical transactions. A, Physical metallurgy and materials science|
|State||Published - Dec 1 1983|
|Event||Symp on Fluid Flow at Solid-Liq Interfaces - Philadelphia, PA, USA|
Duration: Oct 5 1983 → Oct 5 1983
ASJC Scopus subject areas