The present paper deals with the two-dimensional numerical simulation of gaseous flow and heat transfer in planar microchannel and nanochannel with different wall temperatures in transitional regime 0.1≤Kn≤1 . An atomistic molecular simulation method is used known as thermal lattice-Boltzmann method. The results of simulation are presented in four cases corresponding to the Fourier flow, shear-...

The magnetorotational instability (MRI) is thought to play a key role in the formation of stars and black holes by sustaining the turbulence in hydrodynamically stable Keplerian accretion disks. In previous experiments the MRI was observed in a liquid metal Taylor-Couette flow at moderate Reynolds numbers by applying a helical magnetic field. The observation of this helical MRI (HMRI) was inter...

The linear stability of a rotating, stratified, inviscid horizontal plane Couette flow in a channel is studied in the limit of strong rotation and stratification. Two dimensionless parameters characterize the flow: the Rossby number ǫ, defined as the ratio of the shear to the Coriolis frequency and assumed small, and the ratio s of the Coriolis frequency to the buoyancy frequency, assumed to sa...

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...

The stability of wavy supercritical cylindrical Couette flow has been studied extensively, but few measurements of the velocity field in flow have been made. Particle image velocimetry was used to measure the azimuthal and radial velocities in latitudinal planes perpendicular to the axis of rotation for wavy cylindrical Couette flow in the annulus between a rotating inner cylinder and a fixed o...

We investigate MHD-Couette--Shercliff flows driven by lateral wall motion with turbulent transitions observed only at supercritical Re. Linearly, the Tollmien--Schlichting (TS) wave instability was isolated each for friction parameter H $\ensuremath{\gtrsim}$ 300 in MHD-Couette flow, and 1000 Shercliff flow. At low H, linear nonlinear growth led to saturation a traveling wave, where waves conjo...

Imposing axial flow in the annulus and/or radial flow through the cylindrical walls in a Taylor– Couette system alters the stability of the flow. Theoretical methods and numerical simulations were used to determine the impact of imposed axial and radial flows, homogeneous in the axial direction, on the first transition of Taylor–Couette flow in the framework of convective and absolute instabili...

The study of Taylor-Couette vortex flow with small aspect ratio is great interesting. Additionally, the importance of magnetic fluids has been increasing in the engineering applications of various fields, and this leads to increase the interests to investigate the flow of magnetic fluids, which have the reactivity to magnetic field. Then Taylor-Couette vortex flow with magnetic fluids is expect...