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.
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
\Bibitem{San20}
\by Sh.~V.~Sandulyanu
\paper Viscous interaction forces of two pulsating spheres in a fluid near their contact point
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2020
\vol 61
\issue 4
\pages 39--45
\mathnet{http://mi.mathnet.ru/pmtf293}
\crossref{https://doi.org/10.15372/PMTF20200405}
\elib{https://elibrary.ru/item.asp?id=43801335}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2020
\vol 61
\issue 4
\pages 532--538
\crossref{https://doi.org/10.1134/S0021894420040057}
Linking options:
https://www.mathnet.ru/eng/pmtf293
https://www.mathnet.ru/eng/pmtf/v61/i4/p39
This publication is cited in the following 1 articles:
S. V. Sanduleanu, A. G. Petrov, “Interaction of two nearly contacting gas bubbles pulsating in a liquid in an alternating pressure field”, JETP Letters, 112:3 (2020), 150–156
Citation in format AMSBIB
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