Type
ArticleKAUST Department
Applied Mathematics and Computational Science ProgramComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Date
2015-12-11Online Publication Date
2015-12-11Print Publication Date
2016-03Permanent link to this record
http://hdl.handle.net/10754/621624
Metadata
Show full item recordAbstract
The existence and structure of a steady-state gaseous detonation propagating in a packed bed of solid inert particles are analyzed in the one-dimensional approximation by taking into consideration frictional and heat losses between the gas and the particles. A new formulation of the governing equations is introduced that eliminates the difficulties with numerical integration across the sonic singularity in the reactive Euler equations. With the new algorithm, we find that when the sonic point disappears from the flow, there exists a one-parameter family of solutions parameterized by either pressure or temperature at the end of the reaction zone. These solutions (termed “set-valued” here) correspond to a continuous spectrum of the eigenvalue problem that determines the detonation velocity as a function of a loss factor.Citation
Semenko R, Faria LM, Kasimov AR, Ermolaev BS (2015) Set-valued solutions for non-ideal detonation. Shock Waves 26: 141–160. Available: http://dx.doi.org/10.1007/s00193-015-0610-3.Sponsors
The research reported in this publication was supported by the King Abdullah University of Science and Technology (KAUST).Publisher
Springer NatureJournal
Shock WavesarXiv
1312.2180ae974a485f413a2113503eed53cd6c53
10.1007/s00193-015-0610-3