Resultados numéricos da formulação natural do tensor aplicada ao escoamento do fluido sPTT com escorregamento
Resumo
Escoamentos com singularidades geométricas como a expansão abrupta e o cross-slot, por exem- plo, apresentam dificuldades no cálculo do tensor polimérico nas proximidades dessas singularidades (ou quinas) justamente pela mudança repentina nas condições de contorno. Assim, Renardy [10] propôs a Formulação Natural do Tensor (NSF - Natural Stress Formulation), com o objetivo de evitar tais instabilidades, ao representar o tensor numa base natural alinhada às linhas de cor- rente do escoamento para o caso estacionário. [...]
Downloads
Referências
M. M. Denn. “Extrusion instabilities and wall slip”. Em: Journal of Non-Newtonian Fluid Mechanics 33.1 (2001), pp. 265–287.
J. D. Evans e C. M. Oishi. “Transient computations using the natural stress formulation for solving sharp corner flows”. Em: Journal of Non-Newtonian Fluid Mechanics 249 (2017), pp. 48–52.
L. L. Ferrás. “Theoretical and numerical studies of slip flows”. Universidade do Minho, 2012.
L. L. Ferrás et al. “Newtonian and viscoelastic fluid flows through an abrupt 1:4 expansion with slip boundary conditions”. Em: Physics of Fluids 32 (2020), p. 043103. [5] L. L. Ferrás et al. “A numerical and theoretical study on viscoelastic fluid slip flows”. Em: Physics of Fluids 29.5 (2017), p. 053102.
L. L. Ferrás et al. “Slip flows of Newtonian and viscoelastic fluids in a 4:1 contraction”. Em: Journal of Non-Newtonian Fluid Mechanics 214 (2014), pp. 28–37.
Y. Kwon. “Numerical modelling of two-dimensional melt fracture instability in viscoelastic flow”. Em: Journal of Fluid Mechanics 855 (2018), pp. 595–615.
C. L. M. H. Navier. “Memoire sur les lois du mouvement des fluides”. Em: Mémoires de l’académie royale des sciences de l’institut de france 6 (1822), pp. 389–440.
N. Phan-Thien; R. I. Tanner. “A new constitutive equation derived from network theory”. Em: Journal of Non-Newtonian Fluid Mechanics 2 (1977), pp. 353–365.
M. Renardy. “How to integrate the upper convected Maxwell (UCM) stresses near a singularity (and maybe elsewhere, too)”. Em: Journal of Non-Newtonian Fluid Mechanics 52.1 (1994), pp. 91–95.
T. Sochi. “Slip at fluid-solid interface”. Em: Polymer Reviews 51.4 (2011), pp. 309–340.
