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Knudsen layer

Accurate and efficient computation of the Boltzmann equation for Couette flow : influence of intermolecular potentials on Knudsen layer function and viscous slip coefficient

Accurate and efficient computation of the Boltzmann equation for Couette flow : influence of intermolecular potentials on Knudsen layer function and viscous slip coefficient

... small Knudsen numbers [12]; however, this relative large value of K n is unfortunately not small enough to avoid the interference between Knudsen ...

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Computing the near-wall region in gas micro- and nanofluidics : critical Knudsen layer phenomena

Computing the near-wall region in gas micro- and nanofluidics : critical Knudsen layer phenomena

... Abstract. In order to capture critical near-wall phenomena in gas micro- and nanoflows within conventional CFD codes, we present scaled Navier-Stokes-Fourier (NSF) constitu- tive relations. Our scaling is mathematically ...

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Capturing the Knudsen layer in continuum-fluid models of non-equilibrium gas flows

Capturing the Knudsen layer in continuum-fluid models of non-equilibrium gas flows

... the Knudsen layer — the region of local non-equilibrium existing up to one or two molecular mean free paths from the wall in any gas flow near a ...the Knudsen layer has been investigated ...

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Computing the near-wall region in gas micro- and nanofluidics : critical Knudsen layer phenomena

Computing the near-wall region in gas micro- and nanofluidics : critical Knudsen layer phenomena

... Abstract. In order to capture critical near-wall phenomena in gas micro- and nanoflows within conventional CFD codes, we present scaled Navier-Stokes-Fourier (NSF) constitu- tive relations. Our scaling is mathematically ...

17

A wall-function approach to incorporating Knudsen-layer effects in gas micro flow simulations

A wall-function approach to incorporating Knudsen-layer effects in gas micro flow simulations

... A Knudsen layer (or kinetic boundary layer) always exists at the interface between a solid boundary and a moving ...the Knudsen layer within a shear flow bounded by a planar ...the ...

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Lattice Boltzmann modelling Knudsen layer effect in non-equilibrium flows

Lattice Boltzmann modelling Knudsen layer effect in non-equilibrium flows

... Abstract. - Due to its intrinsically kinetic nature, lattice Boltzmann (LB) approach to simulating non-equilibrium gas flows has recently attracted significant research interest. Compared with other kinetic methods, it ...

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Modeling of Knudsen layer effects in micro/nanoscale gas flows

Modeling of Knudsen layer effects in micro/nanoscale gas flows

... non-dimensional Knudsen number, Kn, defined as the ratio of the molecular mean free path (MFP) of the gas, λ, to a characteristic flow field dimension, indicates the flows are often ...a Knudsen ...

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Conditions aux limites dans un gaz raréfié: loi de réflexion à la paroi, saut de température, vitesse de glissement, couche de Knudsen Boundary conditions in rarefied gas flows: scattering kernal, temperature jump, slip velocity, Knudsen layer problem

Conditions aux limites dans un gaz raréfié: loi de réflexion à la paroi, saut de température, vitesse de glissement, couche de Knudsen Boundary conditions in rarefied gas flows: scattering kernal, temperature jump, slip velocity, Knudsen layer problem

... boundary layer or Knudsen ...this Knudsen layer from what it is in the area far from the wall, and therefore has to be described ...local Knudsen number, which is in the order of 1 in ...

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Capturing Knudsen layer phenomena using lattice Boltzmann model

Capturing Knudsen layer phenomena using lattice Boltzmann model

... Microsystems have developed rapidly since the concepts of ‘lab-on-a-chip’ and ‘micro- Total-Analysis-Systems’ were first introduced in the early 1990s. The benefits of miniatur- ization include increased chemical yields, ...

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The usefulness of higher-order constitutive relations for describing the Knudsen layer

The usefulness of higher-order constitutive relations for describing the Knudsen layer

... sen layer or kinetic boundary layer兲. Although the Knudsen layer has thermal aspects, the scope of this paper is restricted to incompressible, slightly rarefied, isothermal gas flows, where ...

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Numerical approximation of Knudsen layer for the Euler-Poisson system

Numerical approximation of Knudsen layer for the Euler-Poisson system

... Raviart, Numerial approximation of hyperboli systems of onservation laws, volume 118 of. Applied Mathematial Sienes[r] ...

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Wall temperature jump in polyatomic gas flows

Wall temperature jump in polyatomic gas flows

... The present thermal boundary condition could be extended to more complex flow configurations such as the inclusion of more excited internal modes (vibrational for example). However, in these cases, some relevant points ...

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A space-based laser system for the deflection and manipulation of near Earth asteroids

A space-based laser system for the deflection and manipulation of near Earth asteroids

... the Knudsen layer, the variation of sublimation temperature with local pressure, the temperature dependent thermal conductivity of the target material and the partial re-condensation of the ablated ...

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Numerical investigation of nanoporous evaporation using direct simulation Monte Carlo

Numerical investigation of nanoporous evaporation using direct simulation Monte Carlo

... with Knudsen number alters significantly with the location of the receding ...shape, Knudsen number, porosity and the evaporation ...the Knudsen layer for arbitrary nanoporous configurations, ...

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Thermophoresis of a spherical particle : modelling through moment based, macroscopic transport equations

Thermophoresis of a spherical particle : modelling through moment based, macroscopic transport equations

... Employing the closed-form expressions for the field variables in the gas obtained here, we plotted their profiles in a neighbourhood of the sphere alongside predictions from a model Boltzmann equation from the ...

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Evaporation driven vapour micro flows : analytical solutions from moment methods

Evaporation driven vapour micro flows : analytical solutions from moment methods

... the Knudsen layer. The Hertz–Knudsen–Schrage (HKS) relation (Schrage 1953) can be applied to model the mass flux across the interface, along with the NSF equations in the bulk, provided Kn is ...

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Lattice Boltzmann simulation of nonequilibrium effects in oscillatory gas flow

Lattice Boltzmann simulation of nonequilibrium effects in oscillatory gas flow

... the Knudsen number (Kn), defined as the ratio of the molecular mean free path λ to the characteristic length ...the Knudsen layer which extends a few molecular mean free paths away from the wall [8, ...

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Modelling thermal flow in a transition regime using a lattice Boltzmann approach

Modelling thermal flow in a transition regime using a lattice Boltzmann approach

... the Knudsen layer are ...the Knudsen layer that have been observed in kinetic ...where Knudsen layer effects are ...for Knudsen numbers up to ...

5

Gas dynamics at the micro-scale : a review of progress in hydrodynamic modelling

Gas dynamics at the micro-scale : a review of progress in hydrodynamic modelling

... This approach has been termed ‘phenomenological extended hydrodynamics’ (PEH), and incorporates a constitutive scaling of the NSF equations that depends on distance to the nearby solid surface. The physical basis for ...

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BUILDING THE MODERN WORLD: MORRISON-KNUDSEN CONSTRUCTION COMPANY

BUILDING THE MODERN WORLD: MORRISON-KNUDSEN CONSTRUCTION COMPANY

... The highway was a curious development, considering the hostile relationship between Pakistan and Afghanistan. The same year the EmKayans constructed this highway to Pakistan the Afghan government sought international ...

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