空泡溃灭时的流场
Flow Field at Collapse of a Cavity
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摘要: 本文在Rayleigh方法的基础上,对具有表面张力含汽型空泡的溃灭进行了分析.导出空泡溃灭时空泡半径、泡壁速度及溃灭压力与时间的函数关系,并由此给出速度场及压力场的数值解.Abstract: Employing Rayleigh's method, the collapse of a vaporous bubble in an incompressible liquid with surface tension is analysed. The expressions of time versus radius, bubble-wall velocity and pressure developed at collapse are thus introduced.Finally, the numerical solution of velocity and pressure field in the liquid surrounding the cavity is also given.
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[1] Knapp,R.T.,J.W.Daily and F.G.Hammitt,Cavitation,McGraw-Hill,New York(1970). [2] Rayleigh,Lord,On the pressure developed in a liquid during the collapse of a spherical cavity,Phil.Mag.,34,August(1917),94-98. [3] Knapp,R.T.,and A.Hollander,Laboratory investigations of the mechanism of cavitation,Trans.ASME,70(1948),419-435. [4] Poritsky,H.,The collapse or growth of a spherical bubble or cavity in a viscous fluid,Proc.First U.S.Natl.Congr.Appl.Mech.(ASME),(1952),813-821.
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