Effects of a Slow Gas-Phase Reaction on the L(*) Instability in Solid-Propellant Rockets
Lee, Hyoung In
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https://hdl.handle.net/2142/71697
Description
Title
Effects of a Slow Gas-Phase Reaction on the L(*) Instability in Solid-Propellant Rockets
Author(s)
Lee, Hyoung In
Issue Date
1988
Department of Study
Theoretical and Applied Mechanics
Discipline
Theoretical and Applied Mechanics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Applied Mechanics
Engineering, Aerospace
Engineering, Mechanical
Abstract
L*-instability stemming from the interaction between the thermal relaxation in the solid propellant and the bulk-mode gas motion inside the combustion chamber is examined theoretically and numerically. The explosion reaction, following the quasisteady fizz reaction occurring near the burning surface, is analyzed for its unsteadiness and strong dependence on the chamber pressure and pressure transient. For this purpose, the asymptotic analysis exploiting the large activation energy of the explosion reaction is performed. The linear-stability results show that a system becomes more unstable due to the nonvanishing induction length in comparison with the quasisteady-flame limit, in addition to capturing all the trends for L*-instability obtained by the quasisteady flame theories. The current dp/dt-extinguishment criterion seems better in predicting the extinction trends in a low-pressure range than those obtained by quasisteady flame theories. By numerically solving the problem, large-amplitude, low-frequency oscillations are found to be associated with repeated extinctions and reignitions of the explosion reaction. In addition, the incomplete combustion is explained and many of the known extinction phenomena under high depressurization are captured. On the other hand, the unsteady process at the subsurface is pointed out as a possible cause for the chuffing.
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