Bouncing off the walls: the influence of gas-kinetic and van der Waals effects in drop impact

MV Chubynsky, KI Belousov, DA Lockerby… - Physical Review Letters, 2020 - APS
A model is developed for liquid drop impact on a solid surface that captures the thin film gas
flow beneath the drop, even when the film's thickness is below the mean free path in the gas …

Discrete effects on boundary conditions for the lattice Boltzmann equation in simulating microscale gas flows

Z Guo, B Shi, TS Zhao, C Zheng - … Review E—Statistical, Nonlinear, and Soft …, 2007 - APS
The lattice Boltzmann equation (LBE) has shown its promise in the simulation of microscale
gas flows. One of the critical issues with this advanced method is to specify suitable slip …

An extended Navier-Stokes formulation for gas flows in the Knudsen layer near a wall

ZL Guo, BC Shi, CG Zheng - Europhysics Letters, 2007 - iopscience.iop.org
Gas flows in the Knudsen layer adjacent to a solid wall cannot be described by the classical
Navier-Stokes constitution in general, and high-order models such as the Burnett and super …

Variational derivation of second-order slip coefficients on the basis of the Boltzmann equation for hard-sphere molecules

C Cercignani, S Lorenzani - Physics of Fluids, 2010 - pubs.aip.org
The objective of the present paper is to provide an analytic expression for the first-and
second-order velocity slip coefficients. Therefore, gas flow rates in microchannels have been …

Variational derivation of thermal slip coefficients on the basis of the Boltzmann equation for hard-sphere molecules and Cercignani–Lampis boundary conditions …

NN Nguyen, I Graur, P Perrier, S Lorenzani - Physics of Fluids, 2020 - pubs.aip.org
In the present paper, a variational method is applied to solve the Boltzmann equation based
on the true linearized collision operator for hard-sphere molecules and the Cercignani …

Database for flows of binary gas mixtures through a plane microchannel

S Kosuge, S Takata - European Journal of Mechanics-B/Fluids, 2008 - Elsevier
A binary mixture of rarefied gases between two parallel plates is considered. The Poiseuille
flow, thermal transpiration (flow caused by a temperature gradient of the plates) and …

Analysis and accurate numerical solutions of the integral equation derived from the linearized BGKW equation for the steady Couette flow

S Jiang, LS Luo - Journal of Computational Physics, 2016 - Elsevier
The integral equation for the flow velocity u (x; k) in the steady Couette flow derived from the
linearized Bhatnagar–Gross–Krook–Welander kinetic equation is studied in detail both …

致密多孔介质中气体渗流的格子Boltzmann 模拟

王华龙, 柴振华, 郭照立 - 计算物理, 2009 - cjcp.org.cn
为了能用格子Boltzmann 方法来正确地刻画致密多孔介质中微尺度流动问题,
对单通道模型进行推广, 并将其应用于孔隙群里气体渗流的数值模拟. 通过对部分具有代表性的 …

[HTML][HTML] Velocity discretization for lattice Boltzmann method for noncontinuum bounded gas flows at the micro-and nanoscale

Y Shi - Physics of Fluids, 2022 - pubs.aip.org
The lattice Boltzmann (LB) method intrinsically links to the Boltzmann equation with the
Bhatnagar–Gross–Krook collision operator; however, it has been questioned to be able to …

High accuracy numerical solutions of the Boltzmann Bhatnagar-Gross-Krook equation for steady and oscillatory Couette flows

YW Yap, JE Sader - Physics of Fluids, 2012 - pubs.aip.org
Modeling gas flows generated by micro-and nano-devices often requires the use of kinetic
theory. To facilitate implementation, various approximate formulations have been proposed …