TY  - JOUR
T1  - Finite amplitude stability of internal steady flows of the Giesekus viscoelastic rate-type Fluid
A1  - Dostalík, Mark
A1  - Průša, Vít
A1  - Tůma, Karel
JA  - Entropy
Y1  - 2019
VL  - 21
IS  - 12
SP  - 1219
M2  - doi: 10.3390/e21121219
KW  - Giesekus fluid
KW  - Lyapunov functional
KW  - stability
KW  - thermodynamics
KW  - viscoelastic fluids
N2  - Using a Lyapunov type functional constructed on the basis of thermodynamical arguments, we investigate the finite amplitude stability of internal steady flows of viscoelastic fluids described by the Giesekus model. Using the functional, we derive bounds on the Reynolds and the Weissenberg number that guarantee the unconditional asymptotic stability of the corresponding steady internal flow, wherein the distance between the steady flow field and the perturbed flow field is measured with the help of the Bures–Wasserstein distance between positive definite matrices. The application of the theoretical results is documented in the finite amplitude stability analysis of Taylor–Couette flow.
M1  - Preprint project = NCMM
M1  - Preprint year = 2019
M1  - Preprint number = 07
M1  - Preprint ID = NCMM/2019/07
ER  -