Journal of engineering physics

, Volume 39, Issue 4, pp 1069–1074 | Cite as

Time to cool a cryogenic object by a gaseous cryogenic agent

  • S. P. Gorbachev
  • A. A. Krikunov
  • O. A. Goncharuk
Article
  • 19 Downloads

Abstract

Dependences to compute the cooling time of a single-channel object are obtained theoretically and confirmed experimentally.

Keywords

Statistical Physic Cooling Time Cryogenic Agent 

Notation

D

mass of helium in the channel

M

mass of metal of the channel wall

G

mass flow rate of the cryogenic agent

Gequ

equivalent mass flow rate

cp, cm

mean integrated specific heat of the cryogenic agent and the channel wall material

U

perimeter

τ

cooling time

τ1

time of the first cooling period

T2

time of the second cooling period

Θ

channel wall temperature

T

flow temperature

To

initial flow temperature

Tin

flow temperature at the channel input

W

flow velocity

L

channel length

Lin, Lout

lengths of the delivery and removal pipelines

F, Fin, Fout

cross-sectional areas of the channel being cooled, and of the delivery and removal pipelines

Fs

total heat-transfer surface

d

channel inner diameter

din, dout

inner delivery and removal pipeline diameters

P

flow pressure

P

flow pressure at the input to the element

Pout

flow pressure at the output from the element

Go, G1

initial and final flow rates of the cryogenic agent

z

a coordinate

¯z=z/L

a dimensionless coordinate

ξ

dimensionless channel length

η

dimensionless cooling time

V1

dimensionless temperature

kG,a, ku, f, m, Π, g

parameters

A, B

constants

Re

Reynolds number

R

gas constant

μ

coefficient of dynamic viscosity

λ

hydraulic drag coefficient

α

coefficient of heat elimination

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Literature cited

  1. 1.
    E. P. Serov and B. P. Korol'kov, Dynamics of Processes in Heat and Mass Transfer Apparatus [in Russian], Énergiya, Moscow (1967).Google Scholar
  2. 2.
    E. P. Serov and B. P. Korol'kov, Dynamics of Steam Generators [in Russian], Énergiya, Moscow (1972).Google Scholar
  3. 3.
    V. G. Pronko, “Cooling of components in a thermostatic system,” Proc. Fourteenth Int. Congress of Refrigeration. Vol. 1, Moscow (1975), pp. 218–223.Google Scholar
  4. 4.
    V. E. Keilin, I. A. Kovalev, and S. A. Lelekhov, “On the cooling time of circulation cryogenic systems,” Inzh.-Fiz. Zh.,27, No. 6, 1081–1089 (1974).Google Scholar
  5. 5.
    A. M. Baron et al., “Studies of cooldown of cables,” Cryogenics,17, No. 3, 161–166 (1977).Google Scholar

Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • S. P. Gorbachev
    • 1
  • A. A. Krikunov
    • 1
  • O. A. Goncharuk
    • 1
  1. 1.Fortieth Anniversary of October Balashikhinsk Scientific-Production Combine of Cryogenic Machine ConstructionUSSR

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