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Fundamentals of CavitationBubbles in a Non-Symmetrical Environment

Fundamentals of Cavitation: Bubbles in a Non-Symmetrical Environment 4. BUBBLES IN A NON-SYMMETRICAL ENVIRONMENT 4.1. INTRODUCTION In industrial situations, the rather ideal conditions considered in chapter 3 are often far from being met. In particular, spherical symmetry can be disturbed by gravity, pressure gradients, flow turbulence, etc. In this chapter, we emphasize inertial effects and consider two main cases in which departure from sphericity is expected: — the case of a bubble, which moves in a static liquid and then explodes or collapses (§ 4.2), — the case of the explosion or collapse in the vicinity of a solid wall or of a free surface (§ 4.3). In both cases, the lack of spherical symmetry results from a non-uniform pressure distribution in the liquid domain around the interface, while the gas pressure and the vapor pressure inside the bubble are practically uniform. In general, the higher pressure region outside causes a re-entrant jet to appear inside the bubble. The last section of this chapter is dedicated to the case of a spherical bubble that crosses a region of pressure gradient. The problem is to estimate the path of the bubble, taking into account the effects of gravity and viscous drag, and then to explain the screen effect http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Fundamentals of CavitationBubbles in a Non-Symmetrical Environment

Part of the Fluid Mechanics and Its Applications Book Series (volume 76)
Fundamentals of Cavitation — Jan 1, 2005
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Publisher
Springer Netherlands
Copyright
© Springer Science + Business Media, Inc. 2005
ISBN
978-1-4020-2232-6
Pages
57 –75
DOI
10.1007/1-4020-2233-6_4
Publisher site
See Chapter on Publisher Site

Abstract

4. BUBBLES IN A NON-SYMMETRICAL ENVIRONMENT 4.1. INTRODUCTION In industrial situations, the rather ideal conditions considered in chapter 3 are often far from being met. In particular, spherical symmetry can be disturbed by gravity, pressure gradients, flow turbulence, etc. In this chapter, we emphasize inertial effects and consider two main cases in which departure from sphericity is expected: — the case of a bubble, which moves in a static liquid and then explodes or collapses (§ 4.2), — the case of the explosion or collapse in the vicinity of a solid wall or of a free surface (§ 4.3). In both cases, the lack of spherical symmetry results from a non-uniform pressure distribution in the liquid domain around the interface, while the gas pressure and the vapor pressure inside the bubble are practically uniform. In general, the higher pressure region outside causes a re-entrant jet to appear inside the bubble. The last section of this chapter is dedicated to the case of a spherical bubble that crosses a region of pressure gradient. The problem is to estimate the path of the bubble, taking into account the effects of gravity and viscous drag, and then to explain the screen effect

Published: Jan 1, 2005

Keywords: Pressure Force; Velocity Potential; Versus Grad; Viscous Drag; Bubble Collapse

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