Rarefied gas flow through a cylindrical tube due to a small pressure difference

Influence of the gas-surface interaction model on time-dependent rarefied gas simulations

“…The molar flow rate through the tube is estimated by using an appropriate kinetic description of the pressure driven flow. Rarefied gas flow through a cylindrical tube has been extensively studied in the past as one of the benchmark cases for validation of different kinetic schemes [19,21,22,23,24,25,26]. In the present study, simula- 2.…”

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

“…A midway approach for the flow simulation in small scales is using the Boltzmann equation [3] or its approximate forms such as BGK kinetic model [4,5] and Lattice Boltzmann Model, LBM. 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.…”

Hybrid modeling of time-dependent rarefied gas expansion

“…The case of purely pressure driven flow, i.e., when the temperature in the two chambers is the same, has been thoroughly studied via kinetic theory and numerical results in the whole range of the Knudsen number have been reported in the literature, based on both the DSMC method [14][15][16][17] and on deterministic kinetic modeling. 22,23,25 The dimensionless solution depends on three parameters, namely, the reference Knudsen number, the ratio of the downstream over the upstream pressure, and the ratio of the length over the radius of the tube. The case of flows driven both by pressure and temperature gradients have also been studied, [39][40][41] and the solution still depends on the same three parameters as before plus the temperature distribution along the tube wall and the ratio of the downstream over the upstream temperature which must be provided.…”

“…[3][4][5][6][7][8][9][10][11][12] In the case of channels of finite length, in addition to the above parameters, the pressure ratio and the length of the channel, as well as the end effects, are introduced in the investigation, increasing significantly the computational effort. However, both the direct simulation Monte Carlo (DSMC) method [13][14][15][16][17] and deterministic linear and nonlinear kinetic modeling [18][19][20][21][22][23][24][25] have been successfully applied to provide accurate results.…”