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The Quarterly Journal of Mechanics and Applied Mathematics 1980 33(2):159-177; doi:10.1093/qjmam/33.2.159
© 1980 by Oxford University Press
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ON THE DYNAMICS OF COLLIDING DROPLETS

U. BROSA and H. J. KRAPPE

( Bereich Kern- und Strahlenphysik in der Hahn-Meitner-Institut für Kernforchung Berlin GmbH 1000 Berlin 39, Glienicker Straße 100 )

For two fusing droplets of an ideal liquid the velocity field is calculated in toroidal coordinates. Since the approach via a boundary-value problem of the second kind for the velocity potential does not allow analytic solutions in these coordinates, we consider instead an equivalent boundary-value problem of the first kind for Stokes's stream function. The solution involves the Mehler-Fock transform of order –1. The kinetic energy of the fluid is presented in an analytic form and shown in graphs. Two limiting cases are discussed: small amplitude vibrations around a spherical shape and the touching of two spheres.


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