Flow characteristic of highly underexpanded jets from various nozzle geometries

•The effect of nozzle geometry on underexpanded jet flows is investigated using LES.•Circular and square jets both correspond to a 3D helical instability mode.•Elliptic and rectangular jets have a flapping instability in their minor axis plane.•The formation and development of the intercepting shock...

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Published inApplied thermal engineering Vol. 125; pp. 240 - 253
Main Authors Li, Xiaopeng, Zhou, Rui, Yao, Wei, Fan, Xuejun
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.10.2017
Elsevier BV
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Abstract •The effect of nozzle geometry on underexpanded jet flows is investigated using LES.•Circular and square jets both correspond to a 3D helical instability mode.•Elliptic and rectangular jets have a flapping instability in their minor axis plane.•The formation and development of the intercepting shocks are highly different.•The elliptic jet penetrates slowest, and has the largest overall mixing area. Flow characteristics of highly underexpanded jets at the same nozzle pressure ratio of 5.60 but issuing from four different nozzles, i.e., the circular, elliptic, square, and rectangular nozzles, are studied using large eddy simulations. The results show that the square jet penetrates fastest, although the turbulence transition is similar for different jets. The penetration rates of different jets show the similar linear dependency on the square root of time, but the penetration constant Γ for the noncircular jets deviates more than 5% from the theoretical value of 3.0. The circular and square jets both correspond to a three-dimensional helical instability mode, while the elliptic and rectangular jets have a two-dimensional flapping instability in their minor axis planes. All the jets undergo a Mach reflection forming the Mach disk, but the Mach disk in the elliptic and rectangular jets is not easily visible. The intercepting shocks in the square jet originate at the four corners of the nozzle exit at first, while the formation of the intercepting shocks is only observed in the major axis planes for the elliptic and rectangular jets. In addition, great differences are observed on the mixing characteristics between different jets. In particular, the elliptic jet penetrates slowest, has the shortest length of jet potential core, and takes the largest mixing area.
AbstractList •The effect of nozzle geometry on underexpanded jet flows is investigated using LES.•Circular and square jets both correspond to a 3D helical instability mode.•Elliptic and rectangular jets have a flapping instability in their minor axis plane.•The formation and development of the intercepting shocks are highly different.•The elliptic jet penetrates slowest, and has the largest overall mixing area. Flow characteristics of highly underexpanded jets at the same nozzle pressure ratio of 5.60 but issuing from four different nozzles, i.e., the circular, elliptic, square, and rectangular nozzles, are studied using large eddy simulations. The results show that the square jet penetrates fastest, although the turbulence transition is similar for different jets. The penetration rates of different jets show the similar linear dependency on the square root of time, but the penetration constant Γ for the noncircular jets deviates more than 5% from the theoretical value of 3.0. The circular and square jets both correspond to a three-dimensional helical instability mode, while the elliptic and rectangular jets have a two-dimensional flapping instability in their minor axis planes. All the jets undergo a Mach reflection forming the Mach disk, but the Mach disk in the elliptic and rectangular jets is not easily visible. The intercepting shocks in the square jet originate at the four corners of the nozzle exit at first, while the formation of the intercepting shocks is only observed in the major axis planes for the elliptic and rectangular jets. In addition, great differences are observed on the mixing characteristics between different jets. In particular, the elliptic jet penetrates slowest, has the shortest length of jet potential core, and takes the largest mixing area.
Flow characteristics of highly underexpanded jets at the same nozzle pressure ratio of 5.60 but issuing from four different nozzles, i.e., the circular, elliptic, square, and rectangular nozzles, are studied using large eddy simulations. The results show that the square jet penetrates fastest, although the turbulence transition is similar for different jets. The penetration rates of different jets show the similar linear dependency on the square root of time, but the penetration constant Γ for the noncircular jets deviates more than 5% from the theoretical value of 3.0. The circular and square jets both correspond to a three-dimensional helical instability mode, while the elliptic and rectangular jets have a two-dimensional flapping instability in their minor axis planes. All the jets undergo a Mach reflection forming the Mach disk, but the Mach disk in the elliptic and rectangular jets is not easily visible. The intercepting shocks in the square jet originate at the four corners of the nozzle exit at first, while the formation of the intercepting shocks is only observed in the major axis planes for the elliptic and rectangular jets. In addition, great differences are observed on the mixing characteristics between different jets. In particular, the elliptic jet penetrates slowest, has the shortest length of jet potential core, and takes the largest mixing area.
Author Fan, Xuejun
Zhou, Rui
Li, Xiaopeng
Yao, Wei
Author_xml – sequence: 1
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  surname: Li
  fullname: Li, Xiaopeng
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– sequence: 2
  givenname: Rui
  surname: Zhou
  fullname: Zhou, Rui
  organization: Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100094, China
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  givenname: Wei
  surname: Yao
  fullname: Yao, Wei
  organization: State Key Laboratory of High Temperature Gas Dynamics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
– sequence: 4
  givenname: Xuejun
  surname: Fan
  fullname: Fan, Xuejun
  email: xfan@imech.ac.cn
  organization: State Key Laboratory of High Temperature Gas Dynamics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
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Keywords Underexpanded jets
Nozzle geometry
Noncircular jets
Large eddy simulation
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Snippet •The effect of nozzle geometry on underexpanded jet flows is investigated using LES.•Circular and square jets both correspond to a 3D helical instability...
Flow characteristics of highly underexpanded jets at the same nozzle pressure ratio of 5.60 but issuing from four different nozzles, i.e., the circular,...
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SubjectTerms Aircraft
Flapping
Flow characteristics
Fluid dynamics
Fluid mechanics
Jet aircraft
Large eddy simulation
Mach reflection
Noncircular jets
Nozzle geometry
Nozzles
Penetration
Planes
Pressure ratio
Rectangular jets
Stability
Turbulence
Two dimensional jets
Underexpanded jets
Vortices
Title Flow characteristic of highly underexpanded jets from various nozzle geometries
URI https://dx.doi.org/10.1016/j.applthermaleng.2017.07.002
https://www.proquest.com/docview/1952163056
Volume 125
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