We study the stationary solution of the Boltzmann equation in a slab with a constant external force parallel to the boundary and complete accommodation condition on the walls at a specified temperature. We prpve that when the force is sufficiently small there exists a solution which converges, in the hydrodynamic limit, to a local Maxwellian with parameters given by the stationary solution of t...

In this article we consider circularly symmetric incompressible viscous flow in a disk. The boundary condition is no-slip with respect to a 4 prescribed time-dependent rotation of the boundary about the center of the disk. We prove that, if the prescribed angular velocity of the boundary 5 has finite total variation, then the Navier–Stokes solutions converge strongly in L2 to the corresponding ...

Analytical and numerical studies of secondary electro-osmotic flow (EOF) and its mixing in microchannels with heterogeneous zeta potentials are carried out in the present work. The secondary EOFs are analyzed by solving the Stokes equation with heterogeneous slip velocity boundary conditions. The analytical results obtained are compared with the direct numerical simulation of the Navier-Stokes ...

Boundary conditions at a liquid-solid interface are crucial to dynamics of liquid film coated on fibre. Here theoretical framework based axisymmetric Stokes equations is developed explore the influence slip Rayleigh-Plateau instability cylindrical The new model not only shows that slip-enhanced growth rate perturbations overestimated by classical lubrication model, but also indicates slip-depen...

By matching boundary layer hydrodynamics with slippage to the force-free flow at larger distances, we obtain the thermophoretic mobility of charged particles as a function of the Navier slip length b. A moderate value of b augments Ruckenstein's result by a term 2b/λ, where λ is the Debye length. If b exceeds the particle size a, the enhancement coefficient a/λ is independent of b but proportio...

We consider the incompressible Navier-Stokes equations in a two-dimensional exterior domain Ω, with no-slip boundary conditions. Our initial data are of the form u0 = αΘ0 + v0, where Θ0 is the Oseen vortex with unit circulation at infinity and v0 is a solenoidal perturbation belonging to L(Ω) ∩Lq(Ω)2 for some q ∈ (1, 2). If α ∈ R is sufficiently small, we show that the solution behaves asymptot...

We show that in a tubular domain with sufficiently small width, the normal and tangential gradients of a harmonic function have almost the same L norm. This estimate yields a sharp estimate of the pressure in terms of the viscosity term in the Navier-Stokes equation with no-slip boundary condition. By consequence, one can analyze the NavierStokes equations simply as a perturbed vector diffusion...

Abstract In the case of microscopic particles, momentum exchange between particle and gas flow starts to deviate from standard macroscopic case, i.e. no-slip with slip occurring in low moderate Knudsen numbers. order derive new drag force models that are valid also regime for non-spherical particles arbitrary shapes using computational fluid dynamics, conditions at surface have be modified acco...

This study deals with the combined effects of Navier Slip, Convective cooling, variable viscosity, and suction/injection on the entropy generation rate in an unsteady flow of an incompressible viscous fluid flowing through a channel with permeable walls. The model equations for momentum and energy balance are solved numerically using semi-discretization finite difference techniques. Both the ve...

Recent developments in microfluidic and nanofluidic technologies have renewed interest in the influence of surface roughness on the slip behavior of viscous fluids (see the survey by PRIEZJEV and TROIAN [20] and the references cited therein). As a matter of fact, this issue have been subjected to discussion for over two centuries by many distinguished scientists who developed the foundations of...