Sahm
P. R.
occurs
fact
parameter v
length scales
2022-01-01T19:27
liquid solid interface
dendritic growth
alloy dendritic growth theory
microstruetural length scale
https://scigraph.springernature.com/explorer/license/
intermediate veloicities
growth
temperature
solute redistribution
undercooling
composition
interpretation
zone boundary
number
non-equilibrium occurs
In order to apply solidification theory to the interpretation of micro- structures produced by rapid solidification, several modifications are required. Different degrees of non-equilibrium occur during solidification and constitute a hierarchy which is followed with increasing solidification rate. Analytical expressions are given for a model of non-equilibrium interface conditions which describe the temperatures and compositions at the liquid solid interface as a function of solidification velocity. For solidification at intermediate veloicities (≃10 cm/s) the assumption of local interfacial equilibrium remains valid but microstructures are often produced under conditions where the solute Peclet number Pc= V1/2D, is greater than one. The parameters V, 1 and D are the solidification velocity, relevant microstruetural length scale and liquid diffusion coefficient respectively. This fact requires that several topics in solidification theory be modified. Such a modification is presented for alloy dendritic growth theory. For alloys solidifying dendritically into undercooled melts, solute redistribution dominates the relatinship between growth rate and initial undercooling when the initial undercooling is smaller than the alloy freezing range (difference between liquidus and solidus temperatures). This fact has several important consequences for the eutectic coupled zone boundaries and for arrayed dendritic growth.
alloy
chapter
V1/2D
false
growth theory
range
theory
interfacial equilibrium
diffusion coefficient
different degrees
alloy freezing range
order
chapters
en
solidification rate
microstructure
modification
1986
formation
81-109
Peclet number
microstructure formation
initial undercooling
growth rate
freezing range
https://doi.org/10.1007/978-94-009-4456-5_5
coefficient
interface conditions
assumption
non-equilibrium interface conditions
dendritic growth theories
local interfacial equilibrium
hierarchy
expression
rate
1986-01-01
rapid solidification
liquid diffusion coefficient
model
consequences
solute Peclet number
veloicities
undercooled melt
velocity
topic
relevant microstruetural length scale
solidification velocity
scale
interface
solidification theory
function
conditions
solidification
analytical expressions
melt
degree
important consequences
boundaries
relatinship
redistribution
equilibrium
Microstructure Formation in Rapidly Solidified Alloys
solid interface
Boettinger
W. J.
Materials Engineering
pub.1001658689
dimensions_id
978-94-009-4456-5
Science and Technology of the Undercooled Melt
978-94-010-8483-3
Engineering
Coriell
S. R.
Springer Nature - SN SciGraph project
C. M.
Adam
H.
Jones
Metallurgy Division, National Bureau of Standards, 20899, Gaithersburg, MD, USA
Metallurgy Division, National Bureau of Standards, 20899, Gaithersburg, MD, USA
Springer Nature
10.1007/978-94-009-4456-5_5
doi