気泡流中における準単色波の弱非線形伝播(対流・拡散・渦・波動波動(1),一般講演)

概要

論文の詳細を見る
One-dimensional nonlinear dispersive waves in a liquid containing a number of small spherical gas bubbles are theoretically studied based on a set of two-fluid averaged equations composed of the conservation laws of mass and momentum for gas and liquid phases, and the Keller equation for the bubble dynamics. The liquid compressibility is taken into account, and this leads to the wave attenuation due to bubble oscillations. By using an appropriate scaling of physical parameters and the method of multiple scales, we can derive the nonlinear Schrodinger equation with an attenuation term due to the acoustic radiation and the liquid viscosity. This equation describes a far field of a quasi-monochromatic wave train in the bubbly liquid, which evolves into a slowly modulated wave packet as a result of long range propagation of weakly nonlinear waves with the strong dispersion effect.
日本流体力学会の論文
2009-09-02