Numerical simulation of non-isothermal viscoelastic fluid flows using a VMS stabilized Finite Element formulation
Please login to view abstract download link
The effect of temperature in viscoelastic fluid flows is studied applying a stabilized finite element formulation based on both a standard and a logarithmic formulation, and the Variational Multiscale (VMS) method as stabilization technique. The logarithmic formulation turns out to be crucial to solve the cases with a high Weissenberg number. Regarding temperature coupling, a two-way coupling strategy is employed: on the one hand, the dependence of viscoelastic fluid parameters on temperature is established, together with the addition of a new term to the energy equation which takes into account the \textit{viscous dissipation}. The formulations and the iterative algorithms are validated in the well-known flow past a cylinder benchmark. Besides, the extension 1:3 case is studied, in which several scenarios are explored varying the values of the main dimensionless numbers that characterize the problem to see how the flow pattern and temperature distribution change along the channel.
