We present the complete unfolding of streamwise localisation in a paradigm of extended shear flows, namely, two-dimensional plane-Poiseuille flow. Exact solutions of the Navier-Stokes equations are computed numerically and tracked in the streamwise wavenumber Reynolds number parameter space to identify and describe the fundamental mechanism behind streamwise localisation, a ubiquitous feature o...

It is found that new channels of energy exchange between macro- and microscopic dynamics exist in plasmas. They are induced by macroscopic plasma flow. This finding is based on the kinetic-magnetohydrodynamic (MHD) theory, which analyses interaction between macroscopic (MHD-scale) motion and microscopic (particle-scale) dynamics. The kinetic-MHD theory is extended to include effects of macrosco...

A simple, compact, and systematic derivation is given of the characteristic properties of the magnetohydrodynamic ~MHD! equations with two independent variables ~time-dependent MHD in the xt plane and steady MHD in the xy plane!, based on the symmetrizable Galilean invariant form of the equations and using a matrix approach. A numerically obtained stationary planar field-aligned MHD bow shock f...

a finite volume-lattice boltzmann algorithm is applied to study skin friction behaviour in different channel flows. for this purpose, cell centred scheme is adapted to discretize the boltzmann equation and consistent boundary conditions are also addressed, which resulted in a wider domain of stability. a simulation of flow in a two dimensional channels with different geometries are carried out....