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Russian Aeronautics

, Volume 61, Issue 2, pp 252–256 | Cite as

Critical Conditions of Thermal Explosion Considering Space-Temporal Nonlocality

  • V. A. KudinovEmail author
  • A. V. Eremin
  • I. V. Kudinov
  • V. V. Zhukov
Aircraft and Rocket Engine Theory
  • 11 Downloads

Abstract

The equation for locally non-equilibrium heat exchange with nonlinear internal heat source was obtained by using Fourier’s law formula with the relaxation of heat flux and temperature gradient. The thermal conductivity problem for the infinite plate was studied by the numerical method at nonsymmetrical boundary conditions of the third kind. The conclusion was made that the thermal explosion delay time considerably increased as compared to the case of neglecting the space-temporal nonlocality.

Keywords

local non-equilibrium heat exchange nonlinear internal heat source relaxation factors estimation of thermal explosion possibility 

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References

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Copyright information

© Allerton Press, Inc. 2018

Authors and Affiliations

  • V. A. Kudinov
    • 1
    Email author
  • A. V. Eremin
    • 1
  • I. V. Kudinov
    • 1
  • V. V. Zhukov
    • 1
  1. 1.Samara State Technical UniversitySamaraRussia

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