Large-amplitude oscillatory shear flow (LAOS) is a popular for studying the nonlinear physics of complex fluids. Specifically, the strain rate sweep (also called the strain sweep) is used routinely to identify the onset of nonlinearity. In this paper, we give exact expressions for the nonlinear complex viscosity and the corresponding nonlinear complex normal stress coefficients for the Oldroyd ...

The present paper deals with non Newtonian viscoelastic flows of Oldroyd-B type in thin domains. Such geometries arise for example in the context of lubrication. More precisely, we justify rigorously the asymptotic model obtained heuristically by proving the mathematical convergence of the Navier-Stokes/Oldroyd-B sytem towards the asymptotic model.

The pulsatile flow of blood in a catheterized blood vessel is analyzed. The flow of blood in vessel is modeled as the flow of two immiscible fluids. The fluid in the core region is characterized as a non-Newtonian viscoelastic fluid satisfying the constitutive equation of an Oldroyd-B fluid. The fluid in the peripheral region is treated as a Newtonian fluid. The catheter inside the vessel is mo...

The unsteady flows of an incompressible Oldroyd-B fluid between two infinite parallel plates are considered when the slippage between the plate and the fluid is valid. The relative velocity between the fluid and plate is assumed to be proportional to the shear rate at the plates. The flow is generated by moving one of the plates or application of the constant pressure gradient giving arise to t...

We consider the system of partial differential equations governing two-dimensional flows a robust class viscoelastic rate-type fluids with stress diffusion, involving general objective derivative. The studied generalizes incompressible Navier--Stokes for fluid velocity $v$ and pressure $p$ by presence an additional term in constitutive equation Cauchy expressed terms positive definite tensor $B...

In this paper the numerical simulation of interaction between Oldroyd-B viscoelastic fluid flows and hyperelastic solids is approached. The algorithm employed a classical block-iterative scheme, in which solid mechanics problems are solved sequentially. A Galerkin finite element approach has been for approximation solid, while flow equations approximated using stabilized method based on Variati...