A Method for Pressure Calculation in Ball Valves Containing Bubbles

[+] Author and Article Information
C. van Lookeren Campagne, R. Nicodemus

Robert Bosch GmbH, Postfach 300 240, D-70442 Stuttgart, Germany  

G. J. de Bruin, D. Lohse

The University of Twente, Department Applied Physics, PO Box 217, NL 7500 AE Enschede, Netherlands

J. Fluids Eng 124(3), 765-771 (Aug 19, 2002) (7 pages) doi:10.1115/1.1486220 History: Received May 19, 2000; Revised January 14, 2002; Online August 19, 2002
Copyright © 2002 by ASME
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Sketch of the main features of the ball valve
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Pressure development along four different streamlines in the example valve
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Polynomial approximation of the pressure drop in the ball valve
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Blake radius for different combinations of final and initial pressure
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Bubble radius response for a slow drop in pressure. Δt=1 ms,τc=28 μs. (a) External pressure; (b) bubble radius development; (c) difference between the solution of the full Rayleigh-Plesset equation and the quasi-static approximation.
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Bubble radius response for a relatively steep drop in pressure. Δt=1 μs,τc=28 μs. (a) External pressure; (b) bubble radius development for a relatively small value of the viscosity, μ=0.17 m2 s−1; (c) bubble radius development for a higher value of the viscosity, μ=0.27 m2 s−1.
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Bubble radius response to the pressure development in the example valve. (a) External pressure; (b) bubble radius development.
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Pressure field for the example valve. (a) With density function; (b) without density function.
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Relative difference in the mass flow through the sample valve between the compressible and the incompressible calculation
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Velocity vector field within the example valve. (a) With density function; (b) without density function.



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