The plasma-sheath transition with a constant mean free path model and the applicability of the Bohm criterion

2001 ◽  
Vol 8 (2) ◽  
pp. 643-647 ◽  
Author(s):  
R. N. Franklin ◽  
J. Snell
2006 ◽  
Vol 42 (10) ◽  
pp. 2667-2669 ◽  
Author(s):  
S.-P. Chen ◽  
C.-R. Chang ◽  
T.-M. Hong ◽  
C.-H. Lai

2014 ◽  
Vol 438 ◽  
pp. 17-21 ◽  
Author(s):  
Congliang Huang ◽  
Yanhui Feng ◽  
Xinxin Zhang ◽  
Jing Li ◽  
Ge Wang

1978 ◽  
Vol 8 (11) ◽  
pp. 2357-2365 ◽  
Author(s):  
C R Tellier ◽  
M Rabel ◽  
A J Tosser

Author(s):  
Nishanth Dongari ◽  
Yonghao Zhang ◽  
Jason M. Reese

We investigate whether a power-law form of probability distribution function better describes the free paths of dilute gas molecules in a confined system. An effective molecular mean free path model is derived, which allows the mean free path to vary close to bounding surfaces. Our model is compared with molecular dynamics simulation data, and also other classical mean free path models. As gas transport properties can be related to the mean free path through kinetic theory, the Navier-Stokes constitutive relations are then modified and applied to various benchmark test cases. Results for isothermal pressure-driven Poiseuille flows in micro-channels are reported, and we compare our results with conventional hydrodynamic models, solutions of the Boltzmann equation, and experimental data. Our new approach provides good results for mean free path and cross-sectional flow velocity profiles up to Knudsen numbers around 1, and for integral flow parameters such as flow rate and friction factor up to Knudsen number of 10. We discuss some limitations of our power-law model, and point to the way forward for further development.


1993 ◽  
Vol 3 (7) ◽  
pp. 1649-1659
Author(s):  
Mohammad A. Tafreshi ◽  
Stefan Csillag ◽  
Zou Wei Yuan ◽  
Christian Bohm ◽  
Elisabeth Lefèvre ◽  
...  

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