Abstract
A freely floating liquid drop is subjected at its surface to an axial temperature field inducing a thermal Marangoni-convection due to the variation of the surface tension. Streamfunction and velocity distribution are analytically determined for steady and unsteady temperature fields, by solving the equation for the Streamfunction with the help of associated Legendre functions of the first kind. The special case of a steady linear axial temperature field is evaluated numerically and exhibits a single quadratic velocity profile, which in radial direction is proportional to cos ϑ and in ϑ-direction proportional to sin ϑ.
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