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Journal of engineering physics

, Volume 8, Issue 4, pp 324–328 | Cite as

Transient heat conduction in hollow spheres with a moving inner boundary

  • G. A. Surkov
Article

Abstract

The finite integral transform method is used to obtain the solution of unsteady heat conduction problems for a hollow sphere with a moving internal boundary and various boundary conditions at the outer surface. For the solution of the problems of interest integral transform formulas are presented with kernels (16), (20), and (24) and the corresponding inversion formulas (18), (22), (26), (29) and characteristic equations (17), (21), (25), (28), (31), (33).

Keywords

Boundary Condition Statistical Physic Heat Conduction Outer Surface Characteristic Equation 
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.

Nomenclature

a,λ

thermal diffusivity and conductivity

tϕ

temperature of phase transformation

ρ

density

α

heat transfer coefficient

Q

total quantity of heat passing through inner boundary

F

latent heat of phase transformation

Fo(1,τ)=/R12, Fo(i,τ)=ατ/ri2, Fo(i,τi)=ατai/ri2

Fourier numbers

Bi2=αR2

Biot number

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References

  1. 1.
    G. A. Surkov and V. I. Krylovich, Inzh. -fiz. zhurn., No. 6, 1964.Google Scholar
  2. 2.
    G. A. Surkov, Inzh. -fiz. zhurn., no. 3, 1964.Google Scholar

Copyright information

© The Faraday Press, Inc. 1966

Authors and Affiliations

  • G. A. Surkov
    • 1
  1. 1.Institute of Heat and Mass Transfer AS BSSRMinsk

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