Cavitation and bubble dynamics by Christopher Earls Brennen

By Christopher Earls Brennen

This e-book presents a coherent and unified remedy of the basic actual approaches thinking about bubble dynamics and the phenomenon of cavitation. Of curiosity to quite a lot of mechanical engineers, the research of cavitation and bubbly flows is acceptable to subject matters starting from valve harm in hydroelectric apparatus, send propellers, and inner combustion engines to the functionality of generators and pumps of all sizes. Well-written and up to date, the ebook will turn out integral to engineers and scholars wanting a reference detailing the issues of cavitation and bubbly circulate.

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2). 10) Given p∞ (t) this represents an equation that can be solved to find R(t) provided pB (t) is known. In the absence of the surface tension and viscous terms, it was first derived and used by Rayleigh (1917). Plesset (1949) first applied the equation to the problem of traveling cavitation bubbles. 3 BUBBLE CONTENTS In addition to the Rayleigh-Plesset equation, considerations of the bubble contents are necessary. To be fairly general, it is assumed that the bubble contains some quantity of contaminant gas whose partial pressure is pGo at some reference size, Ro , and temperature, T∞ .

Model tests of a ship’s propeller or large pump-turbine may allow the designer to accurately estimate the noncavitating performance of the device. However, he will not be able to place anything like the same confidence in his ability to scale the cavitation inception data. Consider the problem in more detail. Changing the size of the device will alter not only the residence time effect but also the Reynolds number. Furthermore, the nuclei will now be a different size relative to the device than in the model.

Acta Physicochimica, URSS, 18, 1–22. 1 INTRODUCTION Having considered the initial formation of bubbles, we now proceed to identify the subsequent dynamics of bubble growth and collapse. The behavior of a single bubble in an infinite domain of liquid at rest far from the bubble and with uniform temperature far from the bubble will be examined first. This spherically symmetric situation provides a simple case that is amenable to analysis and reveals a number of important phenomena. Complications such as those introduced by the presence of nearby solid boundaries will be discussed in the chapters which follow.

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