[PDF] Top 20 Lattice Boltzmann modelling Knudsen layer effect in non-equilibrium flows

... describe non-equilibrium gas dynamics beyond the NS level, high-order LB models have been proposed [21, ...the Knudsen layer which may be due to lack of appropriate wall boundary conditions ... See full document

... make flows even more complex. For example, for gaseous flows at the microscale, kinetic effects have to be taken into account as the Knudsen number (Kn, the ratio of the mean free path and the ... See full document

... The effect of the Knudsen layer correction should be minimal when the Knudsen number is small and this is illustrated in ...a Knudsen number of ...the Knudsen layer ... See full document

... causes non-physical attraction of the dissolved NW phase near the solid surface, and in some circumstance, the accumulated dissolved NW phase layer can lead to non-physical ... See full document

... that the coefficients (9) for the test-functions are derived from planar kinetic theory results, Lockerby and Reese’s model also shows good agreement in non-planar gas flow problems, such as the flow around a ... See full document

... isotherm-gathering effect just above the trailing droplet; and for the non-coalescing cases, the final distance between droplets increases with M ...shorter equilibrium time but a faster common ... See full document

... gas flows have recently attracted significant research interest due to the rapid development of micro/nano-fluidic ...be non-equilibrium, and non-equilibrium phenomena have not yet been ... See full document

... The MD simulation data [14] illuminates the limitations of the conventional exponential form of probability distribu- tion function for gases in the transition regime. Stops [11] also pointed out that the exponential ... See full document

... that retaining the first-order expansion of the equilibrium distribution function is suf- ficient for capturing rarefaction effects in the incompressible limit. The result shows that the D2Q9 model fails to ... See full document

... (non- equilibrium), the conventional continuum theory be- comes ...the non-dimensional Knudsen num- ber, Kn, defined as the ratio of the mean free path and the device characteristic length ... See full document

... increasing Knudsen number because of the increasing temperature ...various Knudsen numbers are almost the same as the Couette flow, which further confirms that the normal heat flux is dominated by the ... See full document

... erent equilibrium morphologies and their transforma- ...and non-engulfing, which correspond to three sets of spreading coe ffi ...three equilibrium states, Pannacci et ...the ... See full document

... in modelling of turbulent flow or advection without ...for modelling flow of liquid, gas, mixtures and ...for modelling of the turbulent flow over a permeable porouse ...for modelling of heat ... See full document

... gas flows is hindering the systematic design of new miniaturized devices ...describe flows that are close to local thermodynamic ...local equilibrium [4]. The critical parameter is the Knudsen ... See full document

... the lattice Boltzmann (LB) method has been successfully de- veloped as an alternative to Navier-Stokes ...model non-equilibrium gas flow in regimes where the Navier-Stokes equations are no ... See full document

... of lattice Boltzmann method has been growing continuously in the last 30 ...the lattice gas automata (LGA), which can be seen as a simplified, fictitious version of Molecular Dynamics model ...regular ... See full document

... the Boltzmann equation in the Knudsen ...locally non-equilibrium gas flows, a phenomenological approach could therefore be a practical way of capturing the essential Knudsen ... See full document

... It is found that predictions for all boundary schemes are close to the benchmark results, given the fact that the KBC will produce slip velocity at a wall boundary, see Fig. 2 for the velocity profiles through centerlines ... See full document

... simulating non-equilibrium flows with a broad range of Knudsen numbers [19, ...the equilibrium distribution function, it is the same as the linearized BGK ...ing non-equilibrium ... See full document

... number flows, it will become unstable ...given lattice, the velocity or its spatial gradient is too large which leads to the negative values of distribution ...their non- negative behaviour at every ... See full document