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Research Papers: Flows in Complex Systems

Corrugated Truncated Triangular Tabs for Supersonic Jet Control

[+] Author and Article Information
P. Arun Kumar

e-mail: arunkumr@iitk.ac.in

E. Rathakrishnan

Professor
e-mail: erath@iitk.ac.in
High Speed Aerodynamics Laboratory,
Indian Institute of Technology Kanpur,
Kanpur 208016, India

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received October 8, 2012; final manuscript received April 11, 2013; published online June 10, 2013. Assoc. Editor: Chunill Hah.

J. Fluids Eng 135(9), 091104 (Jun 10, 2013) (11 pages) Paper No: FE-12-1502; doi: 10.1115/1.4024204 History: Received October 08, 2012; Revised April 11, 2013

An experimental investigation has been carried out to assess the effectiveness of truncated triangular tabs, provided with corrugations (semicircular, triangle, and square shapes) all along their edges, capable of shedding small-scale vortices of continuously varying size, in enhancing the mixing of axi-symmetric Mach 2 jet, at different levels of expansion. The performance of all the tabs were found to be effective only in the near-field of the jet at all levels of expansion of the present investigation. Both the semicircular and square corrugated tabs were found to bifurcate the jet, in two parts (lobes), at x/D ≤ 1, than the triangular corrugated tab, at all the nozzle pressure ratios (NPRs) of the present study. Among the controlled jets, the semicircular corrugated tab is found to be the best mixing promoter at NPRs 6 and 7, for the Mach 2 jet. However at NPRs 4, 5 and 8, the mixing promoting performance of uncorrugated tabs is the best; as high as 91% reduction in jet core length is achieved with semicircular corrugations. Therefore, the mixing promoting capability of truncated triangular tabs with semicircular corrugated tab assumes a maximum, around the overexpansion level with adverse pressure gradient of around 10% (corresponding to NPR7). Shadowgraph images reveal, that the waves prevailing in the near-field for the controlled jets are rendered weaker than those of uncontrolled jet.

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References

Figures

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Fig. 1

Schematic diagram of the tabs used; (a) uncorrugated tab, (b) semicircular corrugated tab, (c) triangular corrugated tab, and (d) square corrugated tab

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Fig. 2

Centerline pressure decay of Mach 2.0 jet at NPR4; ◊ – uncontrolled jet, ★ – jet controlled with truncated vertex isosceles triangular tabs, ○ – jet controlled with semicircular corrugated tabs, Δ – jet controlled with triangular corrugated tabs, and □ – jet controlled with square corrugated tabs

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Fig. 3

Mach disk like wave structure formation for Mach 2 jet at NPR4

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Fig. 4

Centerline pressure decay of Mach 2.0 jet at NPR5; ◊ – uncontrolled jet, ★ – Jet controlled with truncated vertex isosceles triangular tabs, ○ – jet controlled with semicircular corrugated tabs, Δ – jet controlled with triangular corrugated tabs, and □ – jet controlled with square corrugated tabs

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Fig. 5

Centerline pressure decay of Mach 2.0 jet at NPR6; ◊ – uncontrolled jet, ★ – jet controlled with truncated vertex isosceles triangular tabs, ○ – jet controlled with semicircular corrugated tabs, Δ – jet controlled with triangular corrugated tabs, and □ – jet controlled with square corrugated tabs

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Fig. 6

Centerline pressure decay of Mach 2.0 jet at NPR7; ◊ – uncontrolled jet, ★ – jet controlled with truncated vertex isosceles triangular tabs, ○ – jet controlled with semicircular corrugated tabs, Δ – jet controlled with triangular corrugated tabs, and □ – jet controlled with square corrugated tabs

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Fig. 7

Centerline pressure decay of Mach 2.0 jet at NPR8; ◊ – uncontrolled jet, ★ – jet controlled with truncated vertex isosceles triangular tabs, ○ – jet controlled with semicircular corrugated tabs, Δ – jet controlled with triangular corrugated tabs, and □ – jet controlled with square corrugated tabs

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Fig. 8

Core length reduction caused by; ★ – jet controlled with truncated vertex isosceles triangular tabs, ○ – jet controlled with semicircular corrugated tabs, Δ – jet controlled with triangular corrugated tabs, and □ – jet controlled with square corrugated tabs

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Fig. 9

Centerline pressure decay of Mach 2.0 controlled jet with semicircular corrugation; Δ – isosceles triangular tabs with sharp vertex [17], and □ – isosceles triangular tabs with truncated vertex; (a) NPR4, (b) NPR5, (c) NPR6, (d) NPR7, (e) NPR8

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Fig. 10

Centerline pressure decay of Mach 2.0 controlled jet with triangular corrugation; Δ – isosceles triangular tabs with sharp vertex [17], and □ – isosceles triangular tabs with truncated vertex; (a) NPR4, (b) NPR5, (c) NPR6, (d) NPR7, (e) NPR8

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Fig. 11

Centerline pressure decay of Mach 2.0 controlled jet with square corrugation; Δ – isosceles triangular tabs with sharp vertex [17], and □ – isosceles triangular tabs with truncated vertex; (a) NPR4, (b) NPR5, (c) NPR6, (d) NPR7, (e) NPR8

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Fig. 12

Core length reduction caused by; Δ – isosceles triangular tabs with sharp vertex [17], and □ – isosceles triangular tabs with truncated vertex; (a) Semicircular corrugation, (b) Triangular corrugation, (c) Square corrugation

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Fig. 13

Effectiveness of truncated isosceles triangular tabs (corresponding corrugation) with sharp isosceles triangular tabs; (a) Semicircular corrugation, (b) Triangular corrugation, (c) Square corrugation

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Fig. 14

Comparison of pressure profiles along the tabs of Mach 2.0 jet at NPR4; ◊ – uncontrolled jet, ★ – jet controlled with truncated vertex isosceles triangular tabs, ○ – jet controlled with semicircular corrugated tabs, Δ – jet controlled with triangular corrugated tabs, and □ – jet controlled with square corrugated tabs; (a) x = D = 1, (b) x = D = 2, (c) x = D = 4, (d) x = D = 8

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Fig. 15

Comparison of pressure profiles along the tabs of Mach 2.0 jet at NPR6; ◊ – uncontrolled jet, ★ – jet controlled with truncated vertex isosceles triangular tabs, ○ – jet controlled with semicircular corrugated tabs, Δ – jet controlled with triangular corrugated tabs, and □ – jet controlled with square corrugated tabs; (a) x = D = 1, (b) x = D = 2, (c) x = D = 4, (d) x = D = 8

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Fig. 16

Shadowgraph visualization of Mach 2 jet at NPR4; (a) Uncontrolled jet, (b) Jet controlled with truncated vertex isosceles triangular tabs; viewed along the tabs (xy-plane), (c) Jet controlled with truncated vertex isosceles triangular tabs; viewed normal the tabs (xz-plane), (d) Jet controlled with semicircular corrugated tabs; viewed along the tabs (xy-plane), (e) Jet controlled with semicircular corrugated tabs; viewed normal the tabs (xz-plane), (f) Jet controlled with triangular corrugated tabs; viewed along the tabs (xy-plane), (g) Jet controlled with triangular corrugated tabs; viewed normal the tabs (xz-plane), (h) Jet controlled with square corrugated tabs; viewed along the tabs (xy-plane), (i) Jet controlled with square corrugated tabs; viewed normal the tabs (xz-plane)

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Fig. 17

Shadowgraph visualization of Mach 2 jet at NPR8; (a) Uncontrolled jet, (b) Jet controlled with truncated vertex isosceles triangular tabs; viewed along the tabs (xy-plane), (c) Jet controlled with truncated vertex isosceles triangular tabs; viewed normal the tabs (xz-plane), (d) Jet controlled with semicircular corrugated tabs; viewed along the tabs (xy-plane), (e) Jet controlled with semicircular corrugated tabs; viewed normal the tabs (xz-plane), (f) Jet controlled with triangular corrugated tabs; viewed along the tabs (xy-plane), (g) Jet controlled with triangular corrugated tabs; viewed normal the tabs (xz-plane), (h) Jet controlled with square corrugated tabs; viewed along the tabs (xy-plane), (i) Jet controlled with square corrugated tabs; viewed normal the tabs (xz-plane)

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