Rarefied gas flow around a sharp edge induced by a temperature field

Taguchi, Satoshi; Aoki, Kazuo

doi:10.1017/jfm.2011.536

Cited by 42 publications

(43 citation statements)

References 44 publications

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“…Generally speaking, rarefied gas flows with higher values of Kn need a larger number of discrete velocities to resolve the large variations/discontinuities in the VDF, for instance see the numerical examples in Refs. [13,20].…”

Section: Introductionmentioning

confidence: 99%

Comparative study of the discrete velocity and lattice Boltzmann methods for rarefied gas flows through irregular channels

Lindsay

Liu

et al. 2017

Phys. Rev. E

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Rooted from the gas kinetics, the lattice Boltzmann method is a powerful tool in modeling hydrodynamics. In the past decade, it has been extended to simulate the rarefied gas flow beyond the Navier-Stokes level, either by using the high-order Gauss-Hermite quadrature, or by introducing the relaxation time that is a function of the gas-wall distance. While the former method, with a limited number of discrete velocities (i.e. D2Q36), is accurate up to the early transition flow regime, the latter method, with the same discrete velocities as that used in simulating hydrodynamics (i.e. D2Q9), is accurate up to the free-molecular flow regime in the Poiseuille flow between two parallel plates. This is quite astonishing in the sense that more discrete velocities are less accurate. In this paper, by solving the Bhatnagar-Gross-Krook kinetic equation accurately via the discrete velocity method, we find that the accuracy of the lattice Boltzmann method is reduced significantly in the simulation of rarefied gas flows through the rough surface and porous media. Our simulation results could serve as benchmarking cases for future development of the lattice Boltzmann method for modeling and simulation of rarefied gas flows in complex geometries.

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Section: Introductionmentioning

confidence: 99%

Comparative study of the discrete velocity and lattice Boltzmann methods for rarefied gas flows through irregular channels

Lindsay

Liu

et al. 2017

Phys. Rev. E

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“…1 shows an unequally heated beam immersed in a quiescent ambient and placed far from solid boundaries. This configuration is similar to a single radiometer vane [8]. The uniformly heated beam near a substrate as shown in Fig.…”

Section: Methodsmentioning

confidence: 99%

Amplification and reversal of Knudsen force by thermoelectric heating

O’Neill¹,

Wada²,

Strongrich³

et al. 2014

AIP Conference Proceedings

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Abstract. We show that the Knudsen thermal force generated by a thermally-induced flow over a heated beam near a colder wall could be amplified significantly by thermoelectric heating. Bidirectional actuation is achieved by switching the polarity of the thermoelectric device bias voltage. The measurements of the resulting thermal forces at different rarefaction regimes, realized by changing geometry and gas pressure, are done using torsional microbalance. The repulsive or attractive forces between a thermoelectrically heated or cooled plate and a substrate are shown to be up to an order of magnitude larger than for previously studied configurations and heating methods due to favorable coupling of two thermal gradients. The amplification and reversal of the Knudsen force is confirmed by numerical solution of the Boltzmann-ESBGK kinetic model equation. Because of the favorable scaling with decreasing system size, the Knudsen force with thermoelectric heating offers a novel actuation and sensing mechanism for nano/microsystems.

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“…This effect, combined with the low pressure zone off the lateral edge formed by the inward flow results in the manifestation of the large vortical structure seen in the left half of figure 6. Flows of this type have been studied extensively for a comparable geometry in an enclosed container [15,8], reporting a similar recirculating behavior. At higher pressures, the influence of the thermal edge flow diminishes, reducing the strength of the vortex until its eventual collapse near a Knudsen number of around 0.3.…”

Section: Numerical Modelingmentioning

confidence: 96%