Interaction of a planar reacting shock wave with an isotropic turbulent vorticity field

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dc.contributor.author Huete Ruiz de Lira, César
dc.contributor.author Jin, Tai
dc.contributor.author Martínez Ruiz, Daniel
dc.contributor.author Luo, Kun
dc.date.accessioned 2021-05-10T10:00:28Z
dc.date.available 2021-05-10T10:00:28Z
dc.date.issued 2017-11-09
dc.identifier.bibliographicCitation Physical review E, 96(5), 053104, Nov. 2017, 20 pp.
dc.identifier.issn 2470-0045
dc.identifier.issn 2470-0053 (online)
dc.identifier.uri http://hdl.handle.net/10016/32575
dc.description.abstract Linear interaction analysis (LIA) is employed to investigate the interaction of reactive and nonreactive shock waves with isotropic vortical turbulence. The analysis is carried out, through Laplace-transform technique, accounting for long-time effects of vortical disturbances on the burnt-gas flow in the fast-reaction limit, where the reaction-region thickness is significantly small in comparison with the most representative turbulent length scales. Results provided by the opposite slow-reaction limit are also recollected. The reactive case is here restricted to situations where the overdriven detonation front does not exhibit self-induced oscillations nor inherent instabilities. The interaction of the planar detonation with a monochromatic pattern of perturbations is addressed first, and then a Fourier superposition for three-dimensional isotropic turbulent fields is employed to provide integral formulas for the amplification of the kinetic energy, enstrophy, and anisotropy downstream. Transitory evolution is also provided for single-frequency disturbances. In addition, further effects associated to the reaction rate, which have not been included in LIA, are studied through direct numerical simulations. The numerical computations, based on WENO-BO4-type scheme, provide spatial profiles of the turbulent structures downstream for four different conditions that include nonreacting shock waves, unstable reacting shock (sufficiently high activation energy), and stable reacting shocks for different detonation thicknesses. Effects of the propagation Mach number, chemical heat release, and burn rate are analyzed.
dc.description.sponsorship This work was supported by the Ministry of Science, MEC (Grant No. ENE2015-65852-C2-1-R), and Fundación Iberdrola España (BINV-ua37crdy), Spain (C.H. and D.M-R), by the National Natural Science Foundation of China (Grants No. 51576176 and No. 91541202) and by the Special Program for Applied Research on Super Computation of the NSFC-Guangdong Joint Fund (T.J. and K.L).
dc.format.extent 20
dc.language.iso eng
dc.publisher American Physical Society (APS)
dc.rights © 2017 American Physical Society
dc.subject.other Mach number
dc.subject.other Turbulence
dc.subject.other Shock waves
dc.title Interaction of a planar reacting shock wave with an isotropic turbulent vorticity field
dc.type article
dc.subject.eciencia Física
dc.identifier.doi https://doi.org/10.1103/PhysRevE.96.053104
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. ENE2015-65852-C2-1-R
dc.type.version publishedVersion
dc.identifier.publicationfirstpage 1
dc.identifier.publicationissue 5, 053104
dc.identifier.publicationlastpage 20
dc.identifier.publicationtitle PHYSICAL REVIEW E
dc.identifier.publicationvolume 96
dc.identifier.uxxi AR/0000020662
dc.contributor.funder Ministerio de Educación y Ciencia (España)
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