The action of an inclined temperature gradient on floating droplets heated from below

The development of the longwave deformational instability of a thermocapillary flow in a floating droplet under the action of an inclined temperature gradient when the vertical temperature gradient is directed downward is investigated. The problem is solved by the finite-difference method. Nonlinear flow regimes have been studied in a wide range of the transverse and the longitudinal Marangoni numbers. It is shown that, because of the anisotropy of the problem in the case of an inclined temperature gradient, a droplet moving as a whole is the most typical kind of structure. At the definite region of parameters, the pulsating traveling droplet has been obtained. The influence of the gravitational force on the system is studied. It is shown that gravity flattens the droplet and freezes the droplet's shape, preventing the rupture.