Abstract
This paper deals with the problem of the viscous flow induced by two spheres oscillating in a direction parallel to their central line. The effect of the hydrodynamic interaction of the spheres on the steady streaming has been studied analytically at high frequency by the method of matched asymptotic expansions.
It has been found the structure of the steady streaming and the forces acting on the spheres in this complicated flow, depending on the values of the parameters of the problem. Typical flow fields and forces acting on the spheres are shown graphically.
Zusammenfassung
Diese Arbeit behandelt die Strömung, die in einer zähen Flüssigkeit durch die Schwingung von zwei Kugeln parallel zur Verbindungslinie ihrer Mittelpunkte entsteht. Der hydrodynamische Effekt der Kugeln auf die stationäre Strömung wurde für hohe Frequenzen mit Hilfe von assymetrischen Entwicklungen untersucht.
Gefunden wurde die Struktur der stationären Strömung und die Kräfte auf die Kugeln in Funktion der Parameter dieser komplizierten Strömung. Typische Strömungsfelder und die Kräfte auf die Kugeln wurden graphisch dargestellt.
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Tabakova, S.S., Zapryanov, Z.D. On the hydrodynamic interaction of two spheres oscillating in a viscous fluid. — I. Axisymmetrical case. Z. angew. Math. Phys. 33, 344–357 (1982). https://doi.org/10.1007/BF00944443
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DOI: https://doi.org/10.1007/BF00944443