A viscosity overshoot of fibers filled in a polymer melt under shear flow is much tougher to predict via the existing constitutive equations suspension rheology viscous media, owing effect fiber orientation on viscoelastic behavior. The WMT-X (White–Metzner model eXtended by Tseng) fluid coupled with typical Dinh–Armstrong model, known as suspended proposed herein. primary procedure involves ve...

We consider a rate-type constitutitve law given by an implicit nonlinear differential equation in the space of second order symmetric tensors on R d , which unknowns are stress and linearized strain fields. list assumptions constitutive functions then we state prove its well-posedness with respect to two different Tykhonov triples. use these properties deduce convergence results. Finally, provi...