| Abstract: | In this paper, we study the Marangoni effects in the mixture of two Newtonianfluids due to the thermo-induced surface tension heterogeneity on the interface.We employ an energetic variational phase field model to describe its physicalphenomena, and obtain the corresponding governing equations defined by a modified Navier-Stokes equations coupled with phase field and energy transport. A mixedTaylor-Hood finite element discretization together with full Newton's method are appliedto this strongly nonlinear phase field model on a specific domain. Under differentboundary conditions of temperature, the resulting numerical solutions illustrate thatthe thermal energy plays a fundamental role in the interfacial dynamics of two-phaseflows. In particular, it gives rise to a dynamic interfacial tension that depends on thedirection of temperature gradient, determining the movement of the interface along asine/cosine-like curve. |
