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Journal of engineering physics

, Volume 20, Issue 5, pp 619–623 | Cite as

Analytic study of the temperature change in the flowing molten metal in sand casting

  • B. S. Churkin
Article
  • 49 Downloads

Abstract

A system of differential equations is given for the heat transfer in the flow of a liquid alloy in the channels in casting sand, and a formula is derived for the temperature of the alloy at any given point at an arbitrary instant.

Keywords

Differential Equation Heat Transfer Statistical Physic Temperature Change Analytic Study 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notation

c1

specific heat of liquid alloy, J/kg · deg

δ1

density of alloy, kg/m3

α

heat transfer coefficient, W/m2 · deg

α1

effective heat transfer coefficient, W/m2 · deg

P

channel cross-section circumference, m

F

cross-section of channel

tg

temperature at inner channel surface, °K

w

flow velocity, m/sec

R

half-thickness of channel, m

t2

temperature of mold wall, °K

τsta

time from start of alloy flowing in channel, sec

λ2

thermal conductivity of mold material, W/m · deg

t0

initial mold temperature, °K

c2

specific heat of mold material, J/kg · deg

ρ2

density of mold, kg/m3

a2

thermal diffusivity, m2/sec

km, ba

coefficients of heat accumulation by mold and alloy, W/sec1/2/m2 · deg

tin

temperature of alloy at inlet, °K

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Literature cited

  1. 1.
    A. V. Lykov, Theory of Thermal Conduction [in Russian], Vysshaya Shkola, Moscow (1967).Google Scholar
  2. 2.
    G. M. Dubitskii and B. S. Churkin, in: Advances in the Theory and Practice of Casting [in Russian], Perm (1966), pp.63–70.Google Scholar
  3. 3.
    G. M. Dubitskii and B. S. Churkin, in: Applications of Heat Physics in Casting [in Russian], Vysshaya Shkola (1966).Google Scholar

Copyright information

© Consultants Bureau, a division of Plenum Publishing Corporation 1973

Authors and Affiliations

  • B. S. Churkin
    • 1
  1. 1.S. M. Kirov Urals Polytechnical InstituteSverdlovsk

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