Microfabricated integrated circuits revolutionized computation by vastly reducing the space,
labor, and time required for calculations. Microfluidic systems hold similar promise for the …

Microfluidic devices for manipulating fluids are widespread and finding uses in many
scientific and industrial contexts. Their design often requires unusual geometries and the …

Viscoelastic fluids are a common subclass of rheologically complex materials that are
encountered in diverse fields from biology to polymer processing. Often the flows of …

Viscoelastic instabilities are of practical importance, and are the subject of growing interest.
Reviewed here are the fresh developments as well as earlier work in this area, organized …

Turbulence is a ubiquitous phenomenon that is not fully understood. It is known that the flow
of a simple, newtonian fluid is likely to be turbulent when the Reynolds number is large …

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 following sections are included: Advances in Mathematical Modelling Dynamics of
Dilute Polymer Solutions The Rouse model Dumbbell models Closure Approximations …

The dissolution of minute concentration of polymers in wall-bounded flows is well-known for
its unparalleled ability to reduce turbulent friction drag. Another phenomenon, elasto-inertial …

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 …

Hydrodynamic instabilities occur in the motion of non-Newtonian polymeric liquids at low
flow rates that are entirely absent in the corresponding motions of Newtonian fluids. We …