A viscous solvent laminar flow may be strongly modified by the addition of a tiny amount of
long polymer molecules, resulting in a chaotic flow called elastic turbulence (ET). ET is …

The Oldroyd-B model has been used extensively to predict a host of instabilities in shearing
flows of viscoelastic fluids, often realized experimentally using polymer solutions. The …

In this article, the semi-analytical technique of the Hybrid Analytical and Numerical Method
(the HAN Method) is used to study the non-transient forced non-Newtonian MHD Reiner …

We present a new dimensionless criterion that can be used to characterize and unify the
critical conditions required for onset of purely elastic instabilities in a wide range of different …

This paper is an pedagogical essay on the scenario of the instabilities and the transition to
turbulence in visco-elastic polymer flows. When polymers are long, they get easily stretched …

Viscoelastic plane Poiseuille flow is shown to become linearly unstable in the absence of
inertia, in the limit of high elasticities, for ultradilute polymer solutions. While inertialess …

Adhesion-induced instability has been observed at the interface of a flexible plate and a thin
elastic film bonded to a rigid substrate. The surface of the confined film develops undulations …

The Oldroyd-B fluid has become the starting point for almost all complex flow calculations
and analysis involving the behavior of dilute polymer solutions. The reasons for this are …

Experimental observations and linear stability calculations are presented for the stability of
torsional flows of viscoelastic fluids between two parallel coaxial disks, one of which is held …

We discuss the role of elastic stress in the statistical properties of elastic turbulence, realized
by the flow of a polymer solution between two disks. The dynamics of the elastic stress are …