Rarefied gas flow between two flat plates with two dimensional surface roughness

Sugiyama, Wataru; Sawada, Ta-i; Nakamori, Kenji

doi:10.1016/0042-207x(96)00068-1

Cited by 25 publications

(9 citation statements)

References 3 publications

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“…They then introduced the ratio of the mean free path to the roughness size /A to judge the no-slip boundary condition for rarefied gas flows in microchannels. Recently, Sugiyama et al [20] and Turner et al [21] measured experimentally the friction of gas flows in microchannels and found that the surface roughness could lead to a larger friction than the predictions of the Maxwell model. Cao et al [22,23] applied molecular dynamics simulations to study the roughness effect on microscale gas flows.…”

Section: Introductionmentioning

confidence: 98%

Non-Maxwell slippage induced by surface roughness for microscale gas flow: a molecular dynamics simulation

Cao

2007

Molecular Physics

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Rarefied gas flows in rough microchannels are investigated by non-equilibrium molecular dynamics simulations. The surface roughness is modelled by an array of triangular modules. The Maxwell slip model is found to break down due to the surface roughness for gas flows in microchannels with large surface roughness. Non-Maxwell slippage shows that the slip length is smaller than that predicted by the Maxwell model and is nonlinearly related to the mean free path. For larger surface roughness and smaller Knudsen number, the non-Maxwell effect becomes more pronounced. The boundary conditions, generally including velocity slip, no-slip and negative slip, depend not only on the Knudsen number but also on the surface roughness. Simulation results show that A/ % 1 is a good criterion to validate the no-slip boundary condition and A/ 4 0.3 can be a criterion to judge the occurrence of non-Maxwell slippage, where A is the surface roughness size and is the mean free path of gas molecules. The permeability enhanced by the surface roughness may be responsible for the roughnessinduced non-Maxwell slippage.

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Section: Introductionmentioning

confidence: 98%

Non-Maxwell slippage induced by surface roughness for microscale gas flow: a molecular dynamics simulation

Cao

2007

Molecular Physics

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“…As a matter of fact, for gaseous flow in microchannels, the effect of surface roughness is more complex and difficult to measure as the dimensions of channels approach microlevel. 1, 10,12,15,20,21 To overcome this restrict in experiments, some numerical methods have been developed to investigate surface roughness on gaseous flow in microchannels in the past several years, such as the direct simulation Monte Carlo ͑DSMC͒ method, 22,23 finite volume ͑FV͒ method, 24,25 finite element ͑FE͒ method, 26 arbitrary-Lagrangian-Eulerian method ͑ALM͒, 27 and molecular dynamics ͑MD͒ method. 28,29 However, the DSMC usually suffers from the expensive computational cost, highly statistical noise, and some error sources in simulating low speed flows.…”

Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann simulation of surface roughness effect on gaseous flow in a microchannel

Chai

Guo

Zheng

et al. 2008

Journal of Applied Physics

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At the microscale level, it is impossible to obtain a completely smooth wall surface, and the effect of surface roughness may be a main factor responsible for some different characteristics between fluid flow in the microchannels and that in conventional size channels. In the present work, the lattice Boltzmann method is applied to investigate the gaseous flow in a microchannel with surface roughness which is modeled by an array of rectangular modules. The effects of relative surface roughness, roughness distribution, and rarefaction on gaseous flow are studied, but the compressibility effect is neglected since the Mach number is less than 0.2. It was shown that the surface roughness had an important influence on friction factor and mass flow rate. In particular, this effect becomes more significant with the decrease of the Knudsen number. This is because the rarefaction reduces the interaction between the gas molecules and the channel walls, which results in reduction of the surface roughness effect.

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“…A number of statistical models of the wall roughness such as randomly distributed conical surfaces, periodically corrugated channel surface etc. was proposed in [6,2,7,8,9]. Other example of the statistical model is an application of porous media model for rough microchannels [10].…”

Section: Introductionmentioning

confidence: 99%

Statistical Simulation of Gas Flows through Short Rough Microchannels

Markelov¹,

Stefanov²

2011

AIP Conference Proceedings

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Rarefied gas flow though the rough microchannel is modeled using the direct simulation Monte Carlo method (DSMC). Deterministic and statistical methods of wall roughness deception have been applied. The well-known DSMC-based software, SMILE, allows one to model a flow through the channel with an arbitrary shape, here series of triangular obstacles has been modeled. A statistical approach is based on porous layer model of dusty gas and the model has been implemented in SMILE. Results obtained with two methods are compared and channel performance is presented for different pressure ratio and size of obstacles.

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Rarefied gas flow between two flat plates with two dimensional surface roughness

Cited by 25 publications

References 3 publications

Non-Maxwell slippage induced by surface roughness for microscale gas flow: a molecular dynamics simulation

Non-Maxwell slippage induced by surface roughness for microscale gas flow: a molecular dynamics simulation

Lattice Boltzmann simulation of surface roughness effect on gaseous flow in a microchannel

Statistical Simulation of Gas Flows through Short Rough Microchannels

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