Thermodynamically consistent hydrodynamic computational models for high-Knudsen-number gas flows

1999 ◽  
Vol 11 (9) ◽  
pp. 2788-2802 ◽  
Author(s):  
R. S. Myong
2011 ◽  
Vol 403-408 ◽  
pp. 5318-5323
Author(s):  
A.H. Meghdadi Isfahani ◽  
A. Soleimani ◽  
A. Homayoon

Using a modified Lattice Boltzmann Method (LBM), pressure driven flow through micro and nano channels has been modeled. Based on the improving of the dynamic viscosity, an effective relaxation time formulation is proposed which is able to simulate wide range of Knudsen number, Kn, covering the slip, transition and to some extend the free molecular regimes. The results agree very well with exiting empirical and numerical data.


2014 ◽  
Vol 563 ◽  
pp. 241-244
Author(s):  
Xue Wei Liu ◽  
Kai Luo ◽  
Lei Ming ◽  
Li Min Song ◽  
Jun Jin

Three main computational models in hypersonic slip flow are derived and analyzed in detail and then compared by numerical simulation in which 2D cylinder hypersonic slip flow with Mach number 10 and Knudsen number 0.002, 0.01, 0.05, 0.25 are examined, results come out that the improved Maxwell slip model shows better applicability.


Author(s):  
Mostafa Zakeri ◽  
Ehsan Roohi

The impetus of the this study is to investigate flow and thermal field in rarefied gas flows inside a trapezoidal micro/nano-cavity using the direct simulation Monte Carlo (DSMC) technique. The investigation covers the hydrodynamic properties and thermal behavior of the flow. The selected Knudsen numbers for this study are arranged in the slip and transition regimes. The results show the center of the vortex location moves by variation in the Knudsen numbers. Also, as the Knudsen number increases, the non-dimensional shear stress increases, but the distribution deviates from a symmetrical profile. The cold to hot transfer, which is in contrast with the conventional Fourier law, is observed. We show that the heat transfer is affected by the second derivative of the velocity. By increasing the Knudsen number, the transferred heat through the walls decreases, but the contraction/expansion effects on the temperature in the corner of the cavity become higher.


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