Adjoint-based optimisation of detonation initiation by a focusing shock wave

An optimisation study of a shock-wave-focusing geometry is presented in this work. The configuration serves as a reliable and deterministic detonation initiator in a pulsed detonation engine. The combustion chamber consists of a circular pipe with one convergent–divergent axisymmetric nozzle, acting...

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Bibliographic Details
Published in:Shock waves 2021-10, Vol.31 (7), p.789-805
Main Authors: Bengoechea, S., Reiss, J., Lemke, M., Sesterhenn, J.
Format: Article
Language:English
Subjects:
Acoustics
Chemical reactions
Combustion chambers
Condensed Matter Physics
Engineering
Engineering Fluid Dynamics
Engineering Thermodynamics
Fluid- and Aerodynamics
Heat and Mass Transfer
Kinetics
Optimization
Original Article
Polynomials
Pulsed detonation wave engines
Temperature dependence
Thermodynamics
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Summary:An optimisation study of a shock-wave-focusing geometry is presented in this work. The configuration serves as a reliable and deterministic detonation initiator in a pulsed detonation engine. The combustion chamber consists of a circular pipe with one convergent–divergent axisymmetric nozzle, acting as a focusing device for an incoming shock wave. Geometrical changes are proposed to reduce the minimum shock wave strength necessary for a successful detonation initiation. For that purpose, the adjoint approach is applied. The sensitivity of the initiation to flow variations delivered by this method is used to reshape the obstacle’s form. The thermodynamics is described by a higher-order temperature-dependent polynomial, avoiding the large errors of the constant adiabatic exponent assumption. The chemical reaction of stoichiometric premixed hydrogen-air is modelled by means of a one-step kinetics with a variable pre-exponential factor. This factor is adapted to reproduce the induction time of a complex kinetics model. The optimisation results in a 5% decrease of the incident shock wave threshold for the successful detonation initiation.
ISSN:0938-1287
1432-2153
DOI:10.1007/s00193-020-00973-w