Experiments on rarefied gas flows through tubes

Microfluidics and Nanofluidics

Volumn 6, Issue 1, 2009, Pages 109-119

  Marino, Luca ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CONDENSED MATTER PHYSICS; MAGNETIC MATERIALS;

CIRCULAR CROSS-SECTIONS; EXPERIMENTAL APPROACHES; FREE MOLECULAR FLOW; KNUDSEN NUMBERS; MASS FLOW RATE; RAREFIED GAS FLOW; SINGLE TUBES;

NANOFLUIDICS;

EID: 58249084787     PISSN: 16134982     EISSN: 16134990     Source Type: Journal    
DOI: 10.1007/s10404-008-0311-7     Document Type: Article

References (34)

1. Alexeenko AA, Gimelshein SF, Levin DA, Ketsdever AD, Ivanov MS (2002) Study of orifice flow in the transitional regime. In: 21st International symposium on rarefied gas dynamics AIP conference proceedings, vol 663, pp 565-571
2. Alexeenko AA, Gimelshein SF, Levin DA, Ketsdever AD, Ivanov MS (2003) Measurements and simulation of orifice flow for micropropulsion testing. J Power Propuls 19:588-594
3. Arkilic EB, Schmidt MA, Bruer KS (1997) Measurements of the TMAC in silicon microchannels. Rarefied gas dynamics. Peking University Press, p 983
4. Beskok A, Karniadakis GE (1999) A model for flows in channels, pipes, and ducts at micro and nano scales. Microscale Thermophys Eng 3:43-77
5. Bhatnagar PL, Gross EP, Krook M (1954) A model for collision process in gases. I. Small amplitude processes in charged and neutral one-component systems. Phys Rev 94:511-525
6. Bird GA (1999) Molecular gas dynamics and the direct simulation of gas flows. Oxford University Press, New York
7. Cercignani C (1990) Mathematical methods in kinetic theory. Plenum, New York
8. Clausing P (1971) The flow of highly rarefied gases through tubes of arbitrary length. J Vac Sci Technol 8:636-646
9. Cole RJ (1977) Complementary variational principles for Knudsen flow rates. J Inst Math Appl 20:107-115
10. Colin S (2005) Rarefaction and compressibility effects on steady and transient gas flows in microchannels. Microfluid Nanofluid 1:268-279
11. Davies CM, Lucas CB (1983) The failure of theory to predict the density distribution of gas flowing through a tube under free molecular conditions. J Phys D Appl Phys 16:1-16
12. Ewart T, Perrier P, Graur IA, Meolans JG (2006) Mass flow rate measurements in gas micro flows. Exp Fluids 41:487-498
13. Ewart T, Perrier P, Graur IA, Meolans JG (2007) Mass flow rate measurements in a microchannels, from hydrodynamic to near free molecular regimes. J Fluid Mech 584:337-356
14. Ho CM, Tai YC (1998) Micro-electro-mechanical-system (MEMS) and fluid flows. Annu Rev Fluid Mech 30:579-612
15. Jitschin W (2004) Gas flow measurement by the thin orifice and the classical Venturi tube. Vacuum 76:89-100
16. Jitschin W, Ronzheimer M, Khodabakhshi S (1999) Gas flow measurement by means of orifices and Venturi tubes. Vacuum 53:181-185
17. Knudsen M (1909) Die Gesetze der Molekularströmung und der innern Reibungsströmung der Gase durch Röhren. Ann Phys 28:75-130
18. Koppenwallner G, Lips T, Dankert C (2006) Discharge coefficients and on axis flow properties in small sonic orifices at low Reynolds numbers. In: 25th Symposium on rarefied gas dynamics, St. Petersburg
19. Lilly TC, Gimelshein SF, Ketsdever AD, Markelov GN (2006) Measurements and computations of mass flow and momentum flux through short tubes in rarefied gases. Phys Fluids 18:093601-1-11
20. Madou MJ (2002) MEMS fabrication. The MEMS handbook. CRC Press, Boca Raton
21. Pong KJ, Ho CM, Liu JQ, Tai YC (1994) Non-linear pressure distribution in uniform microchannels. ASME-FED, p 197
22. Porodnov BT, Suetin PE, Borisov SF, Akinshin VD (1974) Experimental investigation of rarefied gas flow in different channels. J Fluid Mech 64:417-437
23. Sharipov F (2004) Numerical simulation of rarefied gas flow through a thin orifice. J Fluid Mech 518:35-60
24. Sharipov F, Seleznev VD (1994) Rarefied gas flow through a long tube at any pressure ratio. J Vac Sci Technol A 12:2933-2935
25. Sharipov F, Seleznev VD (1998) Data on internal rarefied gas flows. J Phys Chem Ref Data 27:657-709
26. Shen C, Fan J, Xie C (2003) Statistical simulation of rarefied gas flows in micro-channels. J Comp Phys 189:512-526
27. Shih JC, Ho CM, Liu JQ, Tai YC (1995) Non-linear pressure distribution in uniform microchannels. ASME-AMD, p 238
28. Sparrow EM, Haju-Sheikh A (1964) Velocity profile and other local quantities in free-molecule tube flow. Phys Fluids 7:1256-1261
29. Sreekanth AK (1965) Transition flow through short circular tubes. Phys Fluids 8:1951-1956
30. Sreekanth AK (1969) Slip flow through long circular tubes. In: 6th International symposium on rarefied gas dynamics, pp. 667-680
31. Suetin PE, Porodnov BT, Chernjak VG, Borisov SF (1973) Poiseuille flow at arbitrary Knudsen numbers and tangential momentum accommodation. J Fluid Mech 60:581-592
32. Tison S (1993) Experimental data and theoretical modeling of gas flows through metal capillary leaks. Vacuum 44:1171-1175
33. Varoutis S, Valougeorgis D, Sazhin O, Sharipov F (2008) Rarefied gas flow through a long tube at any pressure ratio. J Vac Sci Technol A 26:229-238
34. Zohar Y, Kwan Lee SY, Lee WY, Jiang L, Tong P (2002) Subsonic gas flow in a straight and uniform microchannel. J Fluid Mech 472:125-151