Trinomial Expansion of Kinetic-Energy Coefficients for Ideal Fluid at Motion of Two Spheres Near Their Contact


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Abstract

The trinomial asymptotic expansions of potential flow kinetic energy in an ideal fluid are constructed for the motion of two spheres of variable radii in the vicinity of their contact. Based on these expansions, it is possible to study the process of two pulsating gas bubbles approaching up to their contact.

About the authors

S. V. Sanduleanu

Ishlinsky Institute for Problems in Mechanics,
Russian Academy of Sciences; Moscow Institute of Physics and Technology (State University)

Author for correspondence.
Email: shtefan.sanduleanu@gmail.com
Russian Federation, Moscow, 117526; Dolgoprudnyi, Moscow oblast, 141700

A. G. Petrov

Ishlinsky Institute for Problems in Mechanics,
Russian Academy of Sciences; Moscow Institute of Physics and Technology (State University)

Author for correspondence.
Email: petrovipmech@gmail.com
Russian Federation, Moscow, 117526; Dolgoprudnyi, Moscow oblast, 141700

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