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Research Papers: Flows in Complex Systems

Prediction of Cavitation Inception Within Regions of Flow Separation

[+] 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 February 8, 2017; final manuscript received July 19, 2017; published online September 20, 2017. Assoc. Editor: Matevz Dular.

J. Fluids Eng 140(1), 011103 (Sep 20, 2017) (5 pages) Paper No: FE-17-1082; doi: 10.1115/1.4037505 History: Received February 08, 2017; Revised July 19, 2017

Cavitation within regions of flow separation appears in drifting vortices. A two-part computational method is employed for prediction of cavitation inception number there. The first part is an analysis of the average flow in separation regions without consideration of an impact of vortices. The second part is an analysis of equilibrium of the bubble within the core of a vortex located in the turbulent flow of known average characteristics. Computed cavitation inception numbers for axisymmetric flows are in the good agreement with the known experimental data.

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Figures

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Fig. 1

Sketch of a meridional section of a typical separated flow with cavity appearing in the vortex core. The section of a disk with sharp edge clamped on a thick axis is filled by black.

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Fig. 2

Comparison of computed and measured normalized pressure behind backward steps. Numbers in the legend show ratio of the step height to the channel vertical size.

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Fig. 3

Computed (line) and measured (squares, from Ref. [13]) velocities across boundary layer behind a backward step in two-dimensional flow

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Fig. 4

Length of separation regions on a body with hemispherical head: line—computations and rhombs—experimental data[8]

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Fig. 5

Computed and measured [8] cavitation inception numbers for a body with hemispherical head

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Fig. 6

Theoretical (curves) and measured (symbols) circumferential velocities in vortex cores

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Fig. 7

Comparison of computed cavitation inception numbers with measurements [4] for circular cylinder in axisymmetric flow

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Fig. 8

Comparison of computed cavitation inception numbers with measurements [9] for disks

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Fig. 9

Comparison of computed cavitation inception numbers with measurements [4] for a body with a backward step behind the hemispherical head

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Fig. 10

Effects of variation of approximation coefficients on computed cavitation inception number for circular cylinder in axisymmetric flow

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