We consider the interaction between two spherical bubbles of variable radii during their movement along their centerline in a viscous fluid. The Stokes stream function is found in bispherical coordinates as an expansion in Gegenbauer polynomials. Viscous forces that act on the sphere are represented as infinite series. Their asymptotics near the contact point is found.

中文翻译：

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流体中靠近接触点的两个脉动球体的粘性相互作用力

我们考虑了两个半径可变的球形气泡在粘性流体中沿着它们的中心线运动期间它们之间的相互作用。Stokes 流函数在双球坐标系中作为 Gegenbauer 多项式的展开式出现。作用在球体上的粘性力表示为无穷级数。找到它们在接触点附近的渐近线。