APPLICATION OF HEAT-BALANCE INTEGRAL METHOD TO CONJUGATE THERMAL EXPLOSION

Abstract

Conjugate thermal explosion is an extension of the classical theory, proposed and studied recently by the author. The paper reports application of heat-balance integral method for developing phase portraits for systems undergoing conjugate thermal explosion. The heat-balance integral method is used as an averaging method reducing partical differential equation problem to the set of first-order ordinary differential equations. The latter reduced problem allows natural interpretation in appropriately chosen phase space. It is shown that, with the help of heat-balance integral technique, conjugate thermal explosion problem can be described with a good accuracy by the set of non-linear first-order differential equations involving complex error function. Phase trajectories are presented for typical regimes emerging in conjugate thermal explosion. Use of heat-balance integral as a spatial averaging method allows efficient description of system evolution to be developed.

Keywords

Dates

  • Submission Date2008-01-15
  • Revision Date2008-03-10
  • Acceptance Date2008-03-10

DOI Reference

10.2298/TSCI0902073N

References

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