Advertisement

Temperature field of a three-layer sphere

  • V. V. Mel’nikov
Article
  • 43 Downloads

Abstract

This paper presents a solution of the problem of unsteady heat transfer in a three-layer hollow sphere in a central-symmetric formulation with various time-dependent boundary conditions on the inner and outer surfaces. In each layer of the sphere there is heat release of known intensity which depends on the radial coordinate and time. The solution is obtained by a finite integral transform on the radial coordinate. A numerical solution is presented for one version of the boundary conditions.

Key words

unsteady heat transfer three-layer sphere integral transformation boundary conditions 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    A. V. Lykov, Theory of Heat and Mass Transfer [in Russian], Gosénergoizdat, Moscow (1963).Google Scholar
  2. 2.
    A. V. Lykov, Theory of Heat Conduction [in Russian], Vysshaya Shkola, Moscow (1967).Google Scholar
  3. 3.
    V. A. Kudinov, B. V. Averin, and E. V. Stefanyuk, “Analytical solutions of heat-conduction problems with a variable initial condition based on the determination of the temperature perturbation front,” Inzh.-Fiz. Zh., 80, No. 1, 27–35 (2007).Google Scholar
  4. 4.
    V. V. Melnikov, “Unsteady heat transfer in a hollow composite cylinder,” J. Appl. Mech. Tech. Phys., 46, No. 2, 257–266 (2005).ADSGoogle Scholar
  5. 5.
    V. V. Mel’nikov, “Unsteady heat transfer in a system of three coaxial cylinders,” Inz.-Fiz. Zh., 80, No. 1, 140–148 (2007).Google Scholar

Copyright information

© MAIK/Nauka 2009

Authors and Affiliations

  1. 1.All-Russia Research Institute of Technical PhysicsSnezhinskRussia

Personalised recommendations