Acalculationmethodforsupercavityprofile aboutaslendercone-shapedprojectiletraveling inwateratsupersonicspeed

ZHANG Zhi-hong; MENG Qing-chang; GU Jian-nong; JIN Yong-gang

doi:10.11883/1001-1455(2011)01-0049-06

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ZHANG Zhi-hong, MENG Qing-chang, GU Jian-nong, JIN Yong-gang. Acalculationmethodforsupercavityprofile aboutaslendercone-shapedprojectiletraveling inwateratsupersonicspeed[J]. Explosion And Shock Waves, 2011, 31(1): 49-54. doi: 10.11883/1001-1455(2011)01-0049-06

Citation:

ZHANG Zhi-hong, MENG Qing-chang, GU Jian-nong, JIN Yong-gang. Acalculationmethodforsupercavityprofile aboutaslendercone-shapedprojectiletraveling inwateratsupersonicspeed[J]. Explosion And Shock Waves, 2011, 31(1): 49-54. doi: 10.11883/1001-1455(2011)01-0049-06

Citation:

ZHANG Zhi-hong, MENG Qing-chang, GU Jian-nong, JIN Yong-gang. Acalculationmethodforsupercavityprofile aboutaslendercone-shapedprojectiletraveling inwateratsupersonicspeed[J]. Explosion And Shock Waves, 2011, 31(1): 49-54. doi: 10.11883/1001-1455(2011)01-0049-06

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Acalculationmethodforsupercavityprofile aboutaslendercone-shapedprojectiletraveling inwateratsupersonicspeed

doi: 10.11883/1001-1455(2011)01-0049-06

1.
Departmentof Mechanics,NavalUniversityofEngineering,Wuhan430033,Hubei,China
2.
Departmentof Mechanics,NavalUniversityofEngineering,Wuhan430033,Hubei,China

Funds:

NationalNaturalScienceFoundationofChina(10772196)

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Corresponding author: ZHANG Zhi-hong
Publish Date: 2011-01-25

Abstract

Abstract

ByadoptingtheirrotationalandsteadymotionoftheidealcompressiblefluidandthesupercavitywiththeRiabushinskyschemeofclosure, anintegro-differentialequationwasderivedforthe supercavitatingflowaroundaslendercone-shapedprojectiletravelinginwateratsupersonicspeedby usingtheslender-bodytheoryandthematched-asymptotic-expansionsmethod.Thesecond-orderapproximationsolutionsforthesupercavityprofilesconsideringthecompressibilityeffectwereobtained, andthecalculationprecisionwasimproved.Theinfluencesofthefluidcompressibilityonthesupercavityprofileswereanalyzedunderthehigh- speedimpactofthegun-launchedprojectile.Thefluid compressibilitycausesslightasymmetryofthesupercavityprofile,inwhichtheforwardpartisnarrowerthanthebackwardpart. Becauseofthecompressibilityeffect,when1(Ma) 2,thesupercavityprofilewillexpandsimilarlytothesubsoniccase; thesupercavityprofilewillkeepunchangeable when(Ma) = 2;andthesupercavityprofilewilloccurtoawholecontractionwhen(Ma) 2.
- fluidmechanics,
- compressibility,
- matchedasymptoticexpansionsmethod,
- supercavity,
- supersonicspeed,
- slenderbodytheory,
- projectile