The stability of a two-layer return thermocapillary flow in the presence of
an inclined temperature gradient is investigated. Both a linear stability
analysis and nonlinear simulations have been performed for an air-water sys
tem. It is found that a rather weak deviation of the mean temperature gradi
ent from the vertical direction suppresses Pearson's instability mechanism
and leads to the appearance of oblique hydrothermal waves. In a certain reg
ion of parameters, transverse convective rolls drifting with the mean flow
appear.