Effect of surface tension and viscosity on bubble growth of single mode Rayleigh-Taylor instability
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Based on the Zufiria theoretical model, a new model regarding the asymptotic bubble velocity for the Rayleigh-Taylor (RT) instability is presented by use of the complex velocity potential proposed by Sohn. The proposed model is an extension of the ordinary Zufiria model and can deal with non-ideal fluids. With the control variable method, the effect of the viscosity and surface tension on the bubble growth rate of the RT instability is studied. The result is consistent with Cao’s result if we only consider the viscous effect and with Xia’s result if we only consider the surface tension effect. The asymptotic bubble velocity predicted by the Zufiria model is smaller than that predicted by the Layzer model, and the result from the Zufiria model is much closer to White’s experimental data.
Key wordsviscosity surface tension Rayleigh-Taylor (RT) instability Zufiria model
complex velocity potential
curvature radius of bubble
asymptotic bubble velocity
amplitude of bubble
dynamic viscosity coefficient
kinetic viscosity coefficient
Chinese Library ClassificationO351 O359 O361
2010 Mathematics Subject Classification76T10 76E17 76W05
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