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Simulation on the interaction between multiple bubbles and free surface with viscous effects

机译:具有粘性效应的多个气泡与自由表面之间相互作用的模拟

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Based on the boundary layer theory, a general Bernoulli equation involving normal and tangential stresses has been derived and the weak viscous effects have been considered. Three-dimensional boundary element method and Green's function have been adopted to solve the interaction between bubbles and free surface. Numerical results have been validated by convergence study and comparison with published results. On this basis, two in-phase and out-phase bubbles in the vicinity of free surface are chosen as cases at different Froude number. Influence of fluid viscosity or Reynolds number is mainly investigated. Physical relevance of numerical computation and the range of validity of numerical simulation are further discussed. It is found that viscous effects depress the interaction between bubbles and free surface, which hinders the formation of the downward jet on the upper bubble surface and declines bubble volume and the height of free-surface spike.
机译:基于边界层理论,推导了涉及正切应力和切向应力的一般伯努利方程,并考虑了弱粘性效应。采用三维边界元方法和格林函数来解决气泡与自由表面之间的相互作用。数值结果已经通过收敛性研究和与已发表结果的比较得到了验证。在此基础上,选择自由表面附近的两个同相和异相气泡作为不同弗洛德数的情况。主要研究流体粘度或雷诺数的影响。进一步讨论了数值计算的物理相关性和数值模拟的有效性范围。发现粘性效应抑制了气泡与自由表面之间的相互作用,这阻碍了在上部气泡表面上向下喷射的形成,并且降低了气泡体积和自由表面尖峰的高度。

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