Abstract
In the last 20 years the method of high-speed (as a rule, higher than 103 K/sec) metal solidification from the liquid state has found wide application in manufacture of materials. It offers the possibility to fix metastable phases, to extend the range of solid solutions, to form an amorphous state, and thereby to obtain materals whose physicomechanical properties are superior to those of traditional alloys [1]. Methods of high-speed solidification are also employed in the manufacture of either disperse particles (powders) or continuous products (strips, sheets, wires).
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Abbreviations
- A:
-
area, m2
- a:
-
acceleration, m/sec2
- B, b:
-
width, m
- C:
-
heat capacity, J/(kg·K)
- f:
-
resistance coefficient
- D:
-
diameter, m
- g:
-
gravitational acceleration, m/sec2
- H, h:
-
height, m
- K, k:
-
coefficients
- L,l :
-
length, m
- Δl :
-
free height of the melt, m
- M:
-
output, kg/sec
- m:
-
number of grooves
- m:
-
mass flow rate of the liquid, kg/sec
- n:
-
rotation frequency, sec−1
- P:
-
pressure, N/m2
- ΔP:
-
pressure difference, N/m2
- Q:
-
heat flux, W
- q:
-
specific heat flux, W/m2
- R:
-
radius, m
- r:
-
latent heat of crystallization, J/kg
- r* :
-
latent heat of vaporization, J/kg
- s:
-
width of the connecting neck of the grooves, m
- T:
-
temperature, K
- ΔT:
-
temperature gradient, K
- t:
-
groove width, m
- t(x):
-
width of the liquid layer in any cross section of a groove, m
- W:
-
volume, m3
- x:
-
coordinate, m
- Π:
-
porosity
- Πp:
-
permeability, m2
- α:
-
heat transfer coefficient, W/(m2·K)
- β:
-
half-angle at the vertex of a triangular groove, deg
- γ:
-
angle of onset of gripping of the liquid-metal strip, deg
- δ:
-
thickness, m
- θ:
-
wetting angle, deg
- λ:
-
thermal conductivity, W/ (m·K)
- μ:
-
dynamic viscosity, N/ (secm2)
- v :
-
kinematic viscosity, m2/sec
- Ξ:
-
resistance coefficient
- ρ:
-
density, kg/m3
- σ:
-
surface tension, N/m
- τ:
-
time, sec
- ϕ:
-
angle of inclination of the side walls, deg
- Nu, Pe, Pr, Re:
-
Nusselt, Peclet, Prandtl, and Reynolds numbers
- ′:
-
radial CHP
- ′':
-
axial CHP
- a:
-
air
- in:
-
inner
- h:
-
hydraulic
- gr:
-
gravitational
- l :
-
liquid
- ev:
-
evaporator
- g:
-
groove
- ch:
-
channel
- cn:
-
condenser
- cp:
-
capillary-porous
- mo:
-
mold
- cr:
-
critical
- s:
-
strip
- gb:
-
gate box
- sa:
-
saturated (saturation)
- r:
-
rated
- se:
-
separated
- co:
-
cooling
- v:
-
vapor
- b:
-
bubble
- s.t:
-
surface tension
- re:
-
reduced
- ms:
-
melt superheating
- m:
-
melt
- hu:
-
hub
- w:
-
wall
- c:
-
centripetal
- sl:
-
slot
- max:
-
maximum
- min:
-
minimum
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Additional information
Belorussian State Polytechnic Academy, Minsk, Belarus. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 64, No. 4, pp. 492–507, April, 1993.
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Abramenko, A.N., Kalinichenko, A.S. & Krivosheev, Y.K. Cooling systems of rotating molds. J Eng Phys Thermophys 64, 401–414 (1993). https://doi.org/10.1007/BF00859228
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DOI: https://doi.org/10.1007/BF00859228