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This article is cited in 1 scientific paper (total in 1 paper)
Viscous interaction forces of two pulsating spheres in a fluid near their contact point
Sh. V. Sandulyanuab a Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, 119526, Moscow, Russia
b Moscow Institute of Physics and Technology, 141701, Dolgoprudny, Russia
Abstract:
We consider the interaction between two spherical bubbles of variable radii during their movement along their centerline in a viscous fluid. A stream function that satisfies the Stokes equation is found in bispherical coordinates as an expansion in Gegenbauer polynomials. Viscous forces that act on the sphere are exactly presented as infinite series. Asymptotic expressions of these forces near the bubble contact zone are derived.
Keywords:
viscous interaction of bubbles, Stokes stream function, axial symmetry.
Received: 20.01.2020 Revised: 20.01.2020 Accepted: 02.03.2020
Citation:
Sh. V. Sandulyanu, “Viscous interaction forces of two pulsating spheres in a fluid near their contact point”, Prikl. Mekh. Tekh. Fiz., 61:4 (2020), 39–45; J. Appl. Mech. Tech. Phys., 61:4 (2020), 532–538
Linking options:
https://www.mathnet.ru/eng/pmtf293 https://www.mathnet.ru/eng/pmtf/v61/i4/p39
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Abstract page: | 27 | First page: | 3 |
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