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Technical Brief

Explanation of the Influence of Inflow Air Content on the Lift of Cavitating Hydrofoils

[+] Author and Article Information
Eduard Amromin

Mechmath LLC,
Federal Way, WA 98003
e-mail: amromin@aol.com

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received July 22, 2017; final manuscript received January 25, 2018; published online March 29, 2018. Assoc. Editor: Matevz Dular.

J. Fluids Eng 140(8), 084501 (Mar 29, 2018) (3 pages) Paper No: FE-17-1445; doi: 10.1115/1.4039252 History: Received July 22, 2017; Revised January 25, 2018

According to several known experiments, an increase of the incoming flow air content can increase the hydrofoil lift coefficient. The presented theoretical study shows that such increase is associated with the decrease of the fluid density at the cavity surface. This decrease is caused by entrainment of air bubbles to the cavity from the surrounding flow. The theoretical results based on such explanation are in a good agreement with the earlier published experimental data for NACA0015.

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References

Kato, H. , Maeda, M. , and Yamagushi, H. , 1993, “ The Effect of Nuclei Density on Cavitation Inception of the Separated Flow on a Foil,” Cavitation Inception 1993, M. L. Billet and W. B. Morgan , eds., ASME, New York.
Kawakami, D. , Qin, Q. , and Arndt, R. E. A. , 2003, “ Can Water Quality Affect the Lift Dynamics of Cavitating Hydrofoils?,” Fifth International Symposium on Cavitation (CAV), Osaka, Japan, Nov. 1–4.
Amromin, E. L. , 2016, “ Analysis of Cavitation Inception and Desinence Behind Surface Irregularities,” Phys. Fluids, 28(7), p. 075106. [CrossRef]
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Kovinskaya, S. I. , 2007, “ Linear Waves in Bubbly Liquid and Equilibrium Bubble Size Distribution,” 19th International Congress on Acoustics, Madrid, Spain, Sept. 2–7.
Blake, W. K. , 1986, Mechanics of Flow-Induced Sound and Vibration, Academic Press, Orlando, FL.
Lee, I.-H. , Mäkiharju, S. A. , Ganesh, H. , and Ceccio, S. L. , 2016, “ Scaling of Gas Diffusion Into Limited Partial Cavities,” ASME J. Fluids Eng., 138(5), p. 051301. [CrossRef]
Amromin, E. L. , Bushkovskii, V. A. , and Dianov, D. I. , 1983, “ Developed Cavitation Behind a Disk in a Vertical Tube,” Fluid Dyn., 18(5), pp. 816–820. [CrossRef]
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Amromin, E. L. , and Vaciliev, A. V. , 1994, “ Determination of the Lift of the Partially Cavitating Hydrofoil,” Fluid Dyn., 29(6), pp. 797–799. [CrossRef]
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Figures

Grahic Jump Location
Fig. 3

Computed [12] effect of Fr on shapes of vertical cavities behind the disk

Grahic Jump Location
Fig. 1

Data [1] on air content effect on lift of NACA0015 hydrofoil in a water tunnel at 20 deg angle of attack

Grahic Jump Location
Fig. 2

Impact of inflow air content on air entrainment; χ = VW(0.7as)/VW(0.3as). Solid line—estimation with use of Eq. (2), arrows—experimental data, their size corresponds to dispersion of data in Ref. [11].

Grahic Jump Location
Fig. 4

Lift versus cavitation number for the EN hydrofoil at 6.3 deg angle of attack. Dashed line shows computation with Kutta–Joukowski condition; solid line—with Eq. (7), squares—data [13].

Grahic Jump Location
Fig. 5

Example of computed impact of inflow air content on shapes cavities of the same length

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Fig. 6

Impact of inflow air content on lift of NACA0015 hydrofoil; values of air content as fraction of as are shown in the legend; symbols corresponds to measurements, curves—to computations

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