Research Papers: Flows in Complex Systems

Dynamic Behaviors of Re-Entrant Jet and Cavity Shedding During Transitional Cavity Oscillation on NACA0015 Hydrofoil

[+] Author and Article Information
Bangxiang Che

Institute of Process Equipment,
Zhejiang University,
Hangzhou 310027, China
e-mail: chebx_zju@zju.edu.cn

Linlin Cao

Institute of Process Equipment,
Zhejiang University,
Hangzhou 310027, China
e-mail: caolinlin@zju.edu.cn

Ning Chu

Institute of Process Equipment,
Zhejiang University,
Hangzhou 310027, China
e-mail: chuning@zju.edu.cn

Dmitriy Likhachev

Institute of Process Equipment,
Zhejiang University,
Hangzhou 310027, China
e-mail: 2438757704@qq.com

Dazhuan Wu

Institute of Process Equipment,
Zhejiang University,
Hangzhou 310027, China
e-mail: wudazhuan@zju.edu.cn

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received February 11, 2018; final manuscript received October 5, 2018; published online December 10, 2018. Assoc. Editor: Satoshi Watanabe.

J. Fluids Eng 141(6), 061101 (Dec 10, 2018) (12 pages) Paper No: FE-18-1097; doi: 10.1115/1.4041716 History: Received February 11, 2018; Revised October 05, 2018

Transitional cavity shedding is known as the stage of attached cavitation with high instability and distinct periodicity. In this study, we experimentally investigated the dynamic characteristics of transitional cavity (0.8L/c<1) shedding on NACA0015 hydrofoil with high-speed video observation and synchronous pressure measurement. In the partial cavity (0.4<L/c<0.8) oscillation, the sheet cavitation grew along the chord with good spanwise uniformity, and the middle-entrant jet played a dominant role in cavity shedding. Meanwhile, in the transitional cavity oscillation, the previous shedding cavity exhibited a prohibitive effect on the growth of sheet cavitation on the hydrofoil, resulting in concave cavity closure line. Moreover, two symmetrical side-entrant jets originated at the near-wall ends and induced the two-stage shedding phenomenon. The aft and fore parts of the sheet cavitation shed separated as different forms and eventually merged into the large-scale cloud cavity.

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Fig. 1

Schematic of the closed-circuit water tunnel in Zhejiang University: (1) work section, (2) diffuser section, (3) connect to pressure regulation vessel, (4) elbow, (5) connect to degas vessel, (6) electric drive, (7) axial flow pump, (8) connect to degas vessel, (9) connect to pressure regulation vessel, (10) honeycomb, and (11) contraction section

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Fig. 2

Exploded view of the test hydrofoil (NACA0015) with eight pressure transducers mounted on the surface

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Fig. 3

Schematic of synchronous measurement and acquisition system. The system consists of two high-speed cameras, surface pressure transducers, two hydrophones, trigger, and acquisition system.

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Fig. 4

Distribution of nondimensional cavity length (L/c), St, cavitation dominant frequency f, and St*. According to the cavity length and shedding dynamics, the attached cavitation on hydrofoil was divided into three types: type I, sheet cavitation; type II, partial cavity oscillation; and type III, transitional cavity oscillation. St number was calculated through the equation St=fc/v and the corresponding cavitation dominant frequency f was given in parentheses. The modified St* number was calculated through the equation St*=(fL/v1+σ).

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Fig. 5

Amplitude spectrum of the surface pressure in partial cavity oscillation (corresponds to Fig. 9)

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Fig. 6

Amplitude spectrum of the surface pressure in transitional cavity oscillation (corresponds to Fig. 15)

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Fig. 7

Periodic oscillation process of partial cavity; σ= 1.36, α= 7.7 deg, σ/2α= 5.060, L/c= 0.570, St = 0.61, and shedding frequency = 42.42 Hz: (a) T0 ms, (b) T0 + 3 ms, (c) T0 + 6 ms, (d) T0 + 9 ms, (e) T0 + 12 ms, (f) T0 + 15 ms, (g) T0 + 18 ms, (h) T0 + 21 ms, and (i) T0 + 24 ms

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Fig. 8

Schematic of the re-entrant jet flow in the closure region of an attached cavity (not drawn to scale)

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Fig. 9

Surface pressure fluctuation in partial cavity oscillation (corresponds to Fig. 7)

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Fig. 10

The mean value of surface pressure and the RMS value of the surface pressure fluctuation (the error bar), corresponding to Fig. 9

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Fig. 11

Periodic oscillation process of transitional cavity; σ = 0.84, α = 7.7 deg, σ/2α = 3.125, L/c = 0.992, St = 0.3, and shedding frequency = 20.90 Hz. The dashed lines indicated the leading edges of side-entrant jets. The solid line showed the leading edge of middle-entrant jet. Dashed box A: the aft part of sheet cavitation. Dashed box B: the fore part of sheet cavitation. Dashed box C: the cavity sheared off by the combination effect of side-entrant jets and middle-entrant jet: (a) T1 ms, (b) T1 +3 ms, (c) T1 +6 ms, (d) T1 +9 ms, (e) T1 +12 ms, (f) T1+15 ms, (g) T1 +18 ms, (h) T1 +21 ms, (i) T1 +24 ms, (j) T1 +27 ms, (k) T1 +30 ms, (l) T1 +33 ms, (m) T1 +36 ms, (n) T1 +39 ms, (o) T1 +42 ms, and (p) T1 +45 ms.

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Fig. 12

Schematic of the re-entrant jet propagation track in transitional cavity oscillation (corresponds to Fig. 11); lines A, B, C, and D indicated the leading edges of side-entrant jets and middle-entrant jet at different moments. A: T1 + 9 ms, B: T1+ 12 ms, C: T1+15 ms, D: T1+ 18 ms. The large dashed arrows represented the overall propagate direction of side-entrant jets, and the small arrows showed the local spreading direction at certain moment. The middle-entrant jet was presented in the figure with the large solid arrow.

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Fig. 13

Microscopic view of the fore part of the cavitation shedding (corresponds to Fig. 11). The dashed box marked a typical generation process of tube-shaped cavity: (a) T1 + 23.0 ms, (b) T1 + 23.2 ms, (c) T1 + 23.4 ms, (d) T1 + 23.6 ms, (e) T1 + 23.8 ms, (f) T1 + 24.0 ms, (g) T1 + 24.2 ms, and (h) T1 + 24.4 ms.

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Fig. 14

Enlarged view of the aft and fore parts of the cavitation shedding (corresponds to Fig. 11). Dashed box B showed the shedding of fore part of sheet cavitation: (a) T1 + 18.0 ms, (b) T1 + 19.2 ms, (c) T1 + 20.4 ms, (d) T1 + 21.6 ms, (e) T1 + 22.8 ms, (f) T1 + 24.0 ms, (g) T1 + 25.2 ms, and (h) T1 + 26.4 ms.

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Fig. 15

Surface pressure fluctuation in transitional cavity oscillation (corresponds to Fig. 11). The circles showed twice pressure fluctuation caused by the two-stage shedding of transitional cavity.

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Fig. 16

The mean value of the surface pressure and the RMS value of the surface pressure fluctuation (the error bar), corresponding to Fig. 15

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Fig. 17

Surface pressure variance in the side-entrant jet propagation process (corresponds to Figs. 11 and 12). The arrows denoted surface pressure increasing when the side-entrant jet crossed over transducers.



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