A novel modified lattice Boltzmann method for simulation of gas flows in wide range of Knudsen number

A New Formulation for Prediction of Permeability of Nano Porous Structures using Lattice Botzmann Method

“…To cover wide range of the flow regimes, (Homayoon et al 2011, Shokouhmand andMeghdadi 2011) proposed a relaxation time formulation, named as modified LBM, by considering the rarefaction effect on the viscosity. The modified LBM was also utilized in some researches.…”

Thermal, microchannel, and immersed boundary extension validation for the Lattice-Boltzmann method : Report 2 in “discrete nano-scale mechanics and simulations” series

“…Among the rarefaction effects to be modeled at the microscale is the existence of a Knudsen layer which exhibits non-equilibrium effects at the boundary and spans about the distance of one mean free path from the fluid-solid interface. This layer is formed due to the heightened frequency of particle collisions at the boundary (Homayoon et al 2011) and creates a slip velocity at the fluid-solid interface expressed as the particle's velocity relative the boundary velocity. For higher Kn, the effects of the Knudsen layer are a dominant effect in the flow.…”

A joint lattice Boltzmann and molecular dynamics investigation for thermohydraulical simulation of nano flows through porous media

“…Because the LBM is a mesoscopic method which can be considered as a particle based method and at the same time is independent of actual number of molecules, it require less computational resources for low Kn flows. Recently there have been attempts to use the LBM for gaseous flows in slip flow regime (micro scale) [6][7][8][9][10][11][12][13][14][15][16][17][18] but only a few papers can be mentioned for the use of LBM in transition regime (nano scale) [19][20][21][22][23][24][25][26]. In our previous work, we proposed a modified thermal lattice LBM, in which a new effective relaxation time is defined as a function of the Knudsen number, which can simulate wide range of thermal flow regimes.…”

“…For a brief introduction to this model, please refer to [25,26] Also, the effect of driving force on the fluid velocity in a nanochannel was completely investigated in [29,30]. According to these studies, increase in driving force would lead to increase in slip length and flow rate in a nano channel.…”