Non-isothermal flow of rarefied gas through a long pipe with elliptic cross section

Microfluidics and Nanofluidics

Volumn 6, Issue 2, 2009, Pages 267-275

  Graur, Irina ^a   Sharipov, Felix ^b  

^a AIX MARSEILLE UNIVERSITÉ   (France)

^b FEDERAL UNIVERSITY OF PARANÁ   (Brazil)

Author keywords

Massflow rate; Microfluidics; Rarefied gas flow; Thermal creep

Indexed keywords

AERODYNAMICS; ASPECT RATIO; COMBUSTORS; CREEP; FLOW OF GASES; FLUID DYNAMICS; GAS DYNAMICS; INTEGRAL EQUATIONS; PIPE; PRESSURE; PRESSURE DROP; PRESSURE EFFECTS; THERMAL STRESS; THERMODYNAMICS;

ELLIPTIC CROSS SECTIONS; ELLIPTICAL CROSS SECTIONS; KNUDSEN NUMBERS; LONG PIPES; LONG TUBES; MASSFLOW RATE; MICROFLUIDICS; NON ISOTHERMALS; NON-ISOTHERMAL FLOWS; PRESSURE AND TEMPERATURES; RAREFIED GAS; RAREFIED GAS FLOW; S-MODEL KINETIC EQUATIONS; THERMAL CREEP; THERMOMOLECULAR PRESSURES; TUBE ENDS;

GASES;

EID: 59649112346     PISSN: 16134982     EISSN: 16134990     Source Type: Journal    
DOI: 10.1007/s10404-008-0325-1     Document Type: Article

References (15)

1. Aoki K (1989) Numerical analysis of rarefied gas flows by finite-difference method. In: Muntz EP, Weaver DP, Campbell DH (eds) Rarefied gas dynamics, 16th international symposium. American Institute of Aeronautics and Austronautics, Washington, pp 297-322
2. Breyiannis G, Varoutis S, Valougeorgis D (2008) Rarefied gas flow in concentric annular tube: Estimation of Poiseuille number and the exact hydraulic diameter. Eur J Mech B/Fluids (in press)
3. Graur I, Sharipov F (2007) Gas flow through an elliptical tube over the whole range of the gas rarefaction. Eur J Mech B/Fluids 27(3):335-345
4. Hasegawa M, Sone Y (1988) Poiseuille and thermal transpiration flows of rarefied gas for various pipes (in Japanese). J Vac Soc Japan 31:416-419
5. Landau LD, Lifshitz EM (1989) Fluid mechanics. Pergamon, New York
6. Loyalka SK (1971) Kinetic theory of thermal transpiration and mechanocaloric effect. I. J Chem Phys 55(9):4497-4503
7. Naris S, Valougeorgis D (2008) Rarefied gas flow in a triangular duct based on a boundary fitted lattice. Eur J Mech B/Fluids (in press)
8. Shakhov EM (1968) Generalization of the Krook kinetic equation. Fluid Dyn 3(1):142-145
9. Sharipov F (1994a) Onsager-Casimir reciprocity relations for open gaseous systems at arbitrary rarefaction. I. General theory for single gas. Physica A 203:437-456
10. Sharipov F (1994b) Onsager-Casimir reciprocity relations for open gaseous systems at arbitrary rarefaction. II. Application of the theory for single gas. Physica A 203:457-485
11. Sharipov F (1996) Rarefied gas flow through a long tube at any temperature difference. J Vac Sci Technol A 14(4):2627-2635
12. Sharipov F (1999a) Rarefied gas flow through a long rectangular channel. J Vac Sci Technol A 17(5):3062-3066
13. Sharipov F (1999b) Non-isothermal gas flow through rectangular microchannels. J Micromech Microeng 9(4):394-401
14. Sharipov F (2003) Application of the Cercignani-Lampis scattering kernel to calculations of rarefied gas flows. II. Slip and jump coefficients. Eur J Mech B/Fluids 22:133-143
15. Sharipov F, Seleznev V (1998) Data on internal rarefied gas flows. J Phys Chem Ref Data 27(3):657-706