Non-isothermal, Incompressible Flow of a Viscoelastic Fluid Inside a Square Cavity at High Weissenberg Number

In this paper, we simulate the two-dimensional, non-isothermal, incompressible flow of a viscoelastic fluid inside a square cavity where the flow is driven by buoyancy forces under natural convection. We discretize the non-dimensional form of the governing equations with the help of finite volume method. For the stable calculation procedure of viscoelastic stresses at high Weissenberg number, we use the log-conformation approach. The effect of temperature on the thermophysical and viscoelastic properties is implemented with the help of a shift factor under the time–temperature superposition principle. We focus on the temperature profile, velocity magnitude, and the distribution of viscoelastic stresses inside the cavity under steady flow conditions.