Complex fluids exist in nature and are continually engineered for specific applications
involving the addition of macromolecules to a solvent, among other means. This imparts …

A small amount of polymer additives can cause substantial reduction in the energy
dissipation and friction loss of turbulent flow. The problem of polymer-induced drag …

Fluid dynamics turbulence refers to the chaotic and unpredictable dynamics of flows.
Despite the fact that the equations governing the motion of fluids are known since more than …

We review progress and open challenges for a number of problems related to the Oldroyd B
model which are of current interest to the mathematical community. We discuss existence …

The flow physics of inertio-elastic turbulent Taylor–Couette flow for a radius ratio of
considered. In fact, these vortices develop herringbone streaks near the inner wall that have …

A modal stability analysis shows that pressure-driven pipe flow of an Oldroyd-B fluid is
linearly unstable to axisymmetric perturbations, in stark contrast to its Newtonian counterpart …

We use direct numerical simulations to study homogeneous and isotropic turbulent flows of
dilute polymer solutions at high Reynolds and Deborah numbers. We find that for small …

Viscoelastic fluids flowing through porous media have been shown to provide improvements
in oil displacement efficiency resulting from a favorable mobility ratio. In this study, we …

This study numerically examines vortex shedding of two-dimensional viscoelastic flow over
a circular cylinder at a Reynolds number of 100. The Giesekus model is selected to describe …

We present a comprehensive three-dimensional numerical investigation of the von Kármán
swirling flow between two parallel plates using the Oldroyd-B model and characterize the …