Talk Abstract:
Experimentally Validated Numerical Simulations of the Diffraction
of Detonations
Martin
Sichel
Professor Emeritus
Department of Aerospace Engineering
The University of Michigan
Results are presented of numerical simulations of the diffraction
which occurs when a detonation propagating through a hydrogen-oxygen
mixture in a tube suddenly comes into contact with a bounding
hydrogen-oxygen mixture. These simulations are, in part, validated
by experimental observations of this diffraction process. The
nature of the diffraction which occurs depends on whether the
equivalence ratio of the primary mixture in the tube is equal
to or greater than the rquivalence ratio of the secondary bounding
mixture. When the equivalence ratios are equal the resultant
diffraction is identical to that which occurs when a detonation
propagates from a tube into a larger bounding region. When the
equivalence ratio of the mixture in the tube is greater than
that of the bounding mixture the diffraction results in the
formation of an oblique shock-oblique detonation complex in
the bounding mixture which is identical to that which will occur
in oblique detonations generated by a high speed wedge as, for
example, in oblique detonation ram jets. The results of experimental
studies of these diffraction processes using a layered detonation
tube and a laser framing camera are first described. It has
been possible to numerically simulate the unsteady diffractions
which occur using the Flux Corrected Transport Algorithm together
with a simplified two step model of the governing hydrogen-oxygen
kinetics. The results of these simulations are presented.
The simulations reproduced the oblique shock/detonation complex
observed when the bounding mixture is leaner than that the mixture
in the tube. When both mixtures are stoichiometric a key issue
is whether the detonation will be re-ignited as it expands into
the larger bounding region. Experiments indicate that the cellular
structure of the detonation plays a key role in this process
and these results are reproduced by the numerical simulations,
and in some cases an almost one on one agreement between simulation
and experiment has been obtained.
Based on the work of: Dr. E.S. Oran, The Naval Research Laboratory,
Dr. David Jones, Aeronautical and Maritime Research Laboratory,
Australia, and Dr. N.A. Tonello, The University of Michigan.
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1999-2000
Reactive Flow and Transport Phenomena
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