Instability of the magnetohydrodynamics system at vanishing Reynolds number

Instability of the Forced Magnetohydrodynamics System at Small Reynolds Number

The aim of this paper is to give a result concerning the instability properties of the solutions of forced magnetohydrodynamics equations at small but finite Reynolds numbers. These solutions are highly oscillating spatially on the scale of the underlying flow but are growing on a larger scale depending on the magnetic Reynolds number. The existence of such solutions is called α-effect in the p...

Mixing by shear instability at high Reynolds number

[1] Shear instability is the dominant mechanism for converting fluid motion to mixing in the stratified ocean and atmosphere. The transition to turbulence has been well characterized in laboratory settings and numerical simulations at moderate Reynolds number—it involves “rolling up”, i.e., overturning of the density structure within the cores of the instabilities. In contrast, measurements in ...

Micromixer based on viscoelastic flow instability at low Reynolds number.

We exploited the viscoelasticity of biocompatible dilute polymeric solutions, namely, dilute poly(ethylene oxide) solutions, to significantly enhance mixing in microfluidic devices at a very small Reynolds number, i.e., Re approximately 0.023, but large Peclet and elasticity numbers. With an abrupt contraction microgeometry (8:1 contraction ratio), two different dilute poly(ethylene oxide) solu...

Stability of partitioned methods for magnetohydrodynamics flows at small magnetic Reynolds number

MHD flows are governed by the Navier-Stokes equations coupled with the Maxwell equations. Broadly, MHD flows in astrophysics occur at large magnetic Reynolds numbers while those in terrestrial applications, such as liquid metals, occur at small magnetic Reynolds numbers, the case considered herein. The physical processes of fluid flows and electricity and magnetism are quite different and numer...

Shear layer instability at low reynolds numbers