A cylindrical liquid bridge under asymmetric heating is investigated for small Reynolds, Prandtl, and capillary numbers. Flow field and surface deformation are calculated in terms of a Papkovich–Fadle series. The present analytical solution is in very good agreement with recent numerical results. A comparison with numerical simulations of the full Navier–Stokes equations without surface deformations is made.
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Hendrik C. Kuhlmann (1989) studied this question.
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