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Numerical study on unstable surfaces of oblique detonations
Teng, Hong Hui1; Jiang, Zong Lin1; Ng, Hoi Dick2; Teng, HH (reprint author),Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China
Source PublicationJOURNAL OF FLUID MECHANICS
2014-04-01
Volume744Pages:111-128
ISSN0022-1120
AbstractIn this study, the onset of cellular structure on oblique detonation surfaces is investigated numerically using a one-step irreversible Arrhenius reaction kinetic model. Two types of oblique detonations are observed from the simulations. One is weakly unstable characterized by the existence of a planar surface, and the other is strongly unstable characterized by the immediate formation of the cellular structure. It is found that a high degree of overdrive suppresses the formation of cellular structures as confirmed by the results of many previous studies. However, the present investigation demonstrates that cellular structures also appear with degree of overdrive of 2.06 and 2.37, values much higher than similar to 1.8 suggested previously in the literature for the critical value defining the instability boundary of oblique detonations. This contradiction could be explained by the use of differently shaped walls, a straight wall used in this study and a custom-designed curved wedge system so as to induce straight oblique detonations in previous studies. Another possible reason could be due to the low and possibly insufficient resolution used in previously published studies. Hence, simulations with different grid sizes are also performed to examine the effect of resolution on the numerical solutions. Using the present results, analysis also shows that although the characteristic lengths of unstable surfaces are different when the incident Mach number changes, these length scales are proportional to tangential velocities. Hence, the interior time determined by the overdrive degree is identified, and its limitation as the instability parameter is discussed.; In this study, the onset of cellular structure on oblique detonation surfaces is investigated numerically using a one-step irreversible Arrhenius reaction kinetic model. Two types of oblique detonations are observed from the simulations. One is weakly unstable characterized by the existence of a planar surface, and the other is strongly unstable characterized by the immediate formation of the cellular structure. It is found that a high degree of overdrive suppresses the formation of cellular structures as confirmed by the results of many previous studies. However, the present investigation demonstrates that cellular structures also appear with degree of overdrive of 2.06 and 2.37, values much higher than similar to 1.8 suggested previously in the literature for the critical value defining the instability boundary of oblique detonations. This contradiction could be explained by the use of differently shaped walls, a straight wall used in this study and a custom-designed curved wedge system so as to induce straight oblique detonations in previous studies. Another possible reason could be due to the low and possibly insufficient resolution used in previously published studies. Hence, simulations with different grid sizes are also performed to examine the effect of resolution on the numerical solutions. Using the present results, analysis also shows that although the characteristic lengths of unstable surfaces are different when the incident Mach number changes, these length scales are proportional to tangential velocities. Hence, the interior time determined by the overdrive degree is identified, and its limitation as the instability parameter is discussed.
KeywordCompressible Flows Detonation Waves
Subject AreaMechanics ; Physics
DOI10.1017/jfm.2014.78
URL查看原文
Indexed BySCI
Language英语
WOS IDWOS:000333188800008
WOS KeywordONE-DIMENSIONAL DETONATIONS ; IDEALIZED DETONATIONS ; 2-DIMENSIONAL DETONATIONS ; NONLINEAR STABILITY ; SHOCK-WAVES ; SIMULATIONS ; ACCURACY ; WEDGE ; COMBUSTION ; RESOLUTION
WOS Research AreaMechanics ; Physics
WOS SubjectMechanics ; Physics, Fluids & Plasmas
Funding OrganizationNational Natural Science Foundation of China NSFC(11372333 ; Natural Sciences and Engineering Research Council of Canada (NSERC) ; 51376165 ; 11102216)
DepartmentLHD激波与爆轰物理
Classification一类
Citation statistics
Cited Times:49[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/48740
Collection高温气体动力学国家重点实验室
Corresponding AuthorTeng, HH (reprint author),Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China
Affiliation1.Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China
2.Concordia Univ, Dept Mech & Ind Engn, Montreal, PQ H3G 1M8, Canada
Recommended Citation
GB/T 7714
Teng, Hong Hui,Jiang, Zong Lin,Ng, Hoi Dick,et al. Numerical study on unstable surfaces of oblique detonations[J]. JOURNAL OF FLUID MECHANICS,2014,744:111-128.
APA Teng, Hong Hui,Jiang, Zong Lin,Ng, Hoi Dick,&Teng, HH .(2014).Numerical study on unstable surfaces of oblique detonations.JOURNAL OF FLUID MECHANICS,744,111-128.
MLA Teng, Hong Hui,et al."Numerical study on unstable surfaces of oblique detonations".JOURNAL OF FLUID MECHANICS 744(2014):111-128.
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