Talk by Mark Dostalík

The next seminar “Modelling of materials – theory, model reduction and efficient numerical methods” will take place next Monday (October 29, 2018) in K3 from 9:00 till 10:30. The talk will be given by Mark Dostalík. Please see the details below.

Title: Finite amplitude stability of internal steady flows of the Giesekus viscoelastic rate-type fluid

Abstract: We investigate the finite amplitude stability of internal steady flows of viscoelastic fluids described by the Giesekus model. The flow stability is investigated using a Lyapunov functional that is constructed on the basis of thermodynamical arguments. Using the functional, we derive bounds on the Reynolds and Weissenberg number that guarantee the unconditional asymptotic stability of the corresponding flow. Further, the functional allows one to explicitly analyse the role of elasticity in the onset of instability, which is a problem related to the elastic turbulence. The application of the theoretical results is documented in the finite amplitude stability analysis of Taylor–Couette flow of the Giesekus fluid.

This is a joint work with V. Průša and K. Tůma.