Hm. Liu et Ds. Dandy, MODELING OF LIQUID-METAL FLOW AND HEAT-TRANSFER IN DELIVERY TUBE DURING GAS ATOMIZATION, Materials science & engineering. A, Structural materials: properties, microstructure and processing, 197(2), 1995, pp. 199-208
A numerical model is developed to describe the flow and heat transfer
behavior of liquid metals in a cold delivery tube during gas atomizati
on. Numerical calculations for liquid In, Sn, Bi, Pb, Zn and Sb are pe
rformed to investigate the influence of processing parameters and mate
rial properties on the flow and cooling of the liquid metals, and to p
redict the minimum melt superheat that is necessary to prevent the liq
uid metals from premature solidification during delivery. Processing m
aps are developed to provide direct insight into the complex relations
hip between the minimum melt superheat, processing parameters and mate
rial properties. A quantitative correlation is derived from the numeri
cal results by means of a regression analysis, which facilitates appli
cation of the numerical model. The calculated results reveal that the
overpressure, tube length/diameter ratio, ambient temperature and ther
mal properties of the tube and liquid metals are the important factors
influencing liquid metal flow and heat transfer. For the materials st
udied, the minimum melt superheat ranges from 0.001T(m) to 0.17T(m), d
epending on the processing parameters and material properties. The dep
endence can be expressed using a correlation derived from the regressi
on analysis such as Delta T/T-m = 0.15(mu U-2/kc(p) rho Delta P T-m/T-
g)(0.1)(L/D)(0.3) Increasing the overpressure can effectively decrease
the minimum melt superheat, especially for a large tube length/diamet
er ratio and for materials possessing low densities. The minimum melt
superheat asymptotically approaches its final steady value with increa
sing overpressure. The minimum melt superheat can also be decreased by
reducing the tube length/diameter ratio, by selecting a smooth delive
ry tube with low thermal conductivity and a thick tube wall, and/or by
enhancing the ambient temperature. Materials with high thermal conduc
tivity, high thermal capacity and/or large density require a small mel
t superheat to prevent the liquid metals from premature solidification
, while materials with high melting temperature and/or high viscosity
require a large melt superheat.