Theoretical Study of Slightly Underexpanded Jets from Elliptical Nozzles

The flow features of shock-containing jets from elliptical convergent nozzles operating under slightly off-design conditions have been studied analytically, where the jet mixing layer is approximated by a vortex sheet and the shock-cell structure is confined to the interior of the vortex sheet. Pert...

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Bibliographic Details
Published inTRANSACTIONS OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES Vol. 67; no. 1; pp. 32 - 39
Main Authors ISLAM, Muhammad Minarul, NAGATA, Tatsuya, NAKAO, Shinichiro, MIYAZATO, Yoshiaki
Format Journal Article
LanguageEnglish
Published Tokyo THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES 2024
Japan Science and Technology Agency
Subjects
Aspect ratio
Conservation equations
Convergent nozzles
Eigenvalues
Eigenvectors
Elliptical Supersonic Jet
Jets
Mach number
Pressure ratio
Shock Wave
Shock-cell Spacing
Theoretical Analysis
Vortex sheets
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Summary:The flow features of shock-containing jets from elliptical convergent nozzles operating under slightly off-design conditions have been studied analytically, where the jet mixing layer is approximated by a vortex sheet and the shock-cell structure is confined to the interior of the vortex sheet. Perturbation conservation equations are solved using eigenfunction expansion, and shock-cell structures for the elliptical jets are obtained explicitly. Only the first Fourier mode of the eigenvalue problem is considered for simplicity. The effects of flow parameters such as the nozzle pressure ratio, aspect ratio, and design Mach number on the shock-cell structure and shock-cell spacings are investigated.
ISSN:0549-3811
2189-4205
DOI:10.2322/tjsass.67.32