Negative electrorheological responses induced by micro-particle electrorotation in two-dimensional Couette flow geometries are analyzed by a set of continuum modeling field equations originating from anti-symmetric/couple stress theories in the finite spin viscosity small spin velocity (FSV) limit. Analytical solutions are obtained for the first time to express the spin velocity, linear velocit...

This paper reviews the fundamentals of micropolar fluid dynamics (MFD), and proposes a numerical scheme integrating Chorin’s projection method and time-centred split method (TCSM) for solving unsteady forms of MFD equations. It has been known that Navier–Stokes equations are incapable of explaining the phenomena at micro and nano scales. On the contrary, MFD can naturally pick up the physical p...

With the vigorous development of micro-/nanoscience and micro-/nanotechnology, fluid flows at micro-/nanoscale have become an important research field. The molecular dynamics simulations Couette flow in a nanochannel are carried out this paper. In order to evaluate non-equilibrium effect rarefied field, “sampling-classification” method is proposed. Through newly developed method, we found that ...

Consider inviscid ‡uids in a channel f 1 < y < 1g. For the Couette ‡ow ~v0 = (y; 0), the vertical velocity of solutions to the linearized Euler equation at ~v0 decays in time. At the nonlinear level, such inviscid damping is widely open. First, we show that in any (vorticity) H s < 3 2 neighborhood of Couette ‡ow, there exist non-parallel steady ‡ows with arbitrary minimal horizontal period. Th...

We study the microstructure formation and defects dynamics arising in liquid crystalline polymers (LCPs) in plane shear flow by a inetic–hydrodynamic coupled model. The kinetic model is an extension of the Doi theory with a non-local intermolecular potential, including ranslational diffusion and density variation. LCP molecules are ensured anchoring at the boundary by an additional boundary pot...

Abstract An in-house Direct Simulation Monte Carlo (DSMC) code has been developed using an object-oriented interface for the purpose of eventually modelling gas and plasma microflows in micromechanical systems, by coupling it with existing Particle-In-Cell (PIC) solver. The is validated canonical flow problems such as micro-Couette micro-Poiseuille flows. Since emphasis on supersonic highly com...

We study near-wall streaks that form herringbonelike patterns in Taylor-Couette turbulence and in counter-rotating Taylor-Couette turbulence through three-dimensional direct numerical simulations. The orientation, axial distribution, onset, and tilting angle of these streaks are characterized.

A newly heuristic form of second-order slip/jump boundary conditions (BCs) for the Navier–Stokes–Fourier (NSF) equations is proposed from viewpoint generalized hydrodynamic (GHE) to extend capability NSF moderately rarefied gas flows. The nonlinear Rayleigh–Onsager dissipation function appearing in GHE, which contains useful information about nonequilibrium flow fields interest, introduced into...