Thermal stability of a disturbed fluid flow
T. A. Bodnar'
Institute of Technology at the Altai State Technical University, Biisk 659305
Pages: 432-438
Abstract
Stability of periodic solutions of a
non-self-similar nonlinear problem is
studied. The problem describes the
thermal state of an axial fluid flow
with continuously distributed sources of
heat. The flow experiences the action of
external low-amplitude perturbations
changing in time in accordance with
known periodic laws. The spectral
problem is solved by the method of
parametrix, and the critical conditions
of the thermal explosion are determined
in the linear approximation. Stability
of the periodic solution at the critical
point is evaluated using the known
theorem of factorization, which takes
into account the effect of nonlinear
terms of the heat-balance equation. The
calculation results show that the
periodic solution is stable if the total
action of external periodic
perturbations at the critical point is
directed to reduction of the fluid-flow
temperature.
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