Validation of a second-order slip model for dilute gas flows

Microscale Thermophysical Engineering

Volumn 9, Issue 2, 2005, Pages 137-153

  Hadjiconstantinou, Nicolas G ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

Boltzmann; Knudsen layer; Navier Stokes; Second order slip; Small scale flows

Indexed keywords

BOLTZMANN; KNUDSEN LAYER; NAVIER-STOKES; SECOND-ORDER SLIP; SMALL-SCALE FLOWS;

APPROXIMATION THEORY; BOUNDARY CONDITIONS; BOUNDARY LAYERS; COMPUTER SIMULATION; GAS DYNAMICS; KINETIC THEORY OF GASES; MATHEMATICAL MODELS; MONTE CARLO METHODS; NAVIER STOKES EQUATIONS;

FLOW OF FLUIDS;

EID: 20444411554     PISSN: 10893954     EISSN: 10917640     Source Type: Journal    
DOI: 10.1080/10893950590945021     Document Type: Article

References (20)

1. N. G. Hadjiconstantinou, Sound Propagation at Small Scales under Continuum and Non-Continuum Transport, Journal of Fluid Mechanics, vol. 488, pp. 399-408, 2003.
2. N. G. Hadjiconstantinou and O. Simek, Constant-Wall-Temperature Nusselt Number in Micro and Nano-Channels, Journal of Heat Transfer, vol. 124, pp. 356-364, 2002.
3. G. M. Karniadakis and A. Beskok, Micro Flows: Fundamentals and Simulation, New York: Springer, 2002.
4. C. Cercignani, Higher Order Slip According to the Linearized Boltzmann Equation, Institute of Engineering Research Report AS-64-19, University of California, Berkeley, 1964.
5. T. Ohwada, Y. Sone, and K. Aoki, Numerical Analysis of the Shear and Thermal Creep Flows of a Rarefied Gas over a Plane Wall on the Basis of the Linearized Boltzmann Equation for Hard-Sphere Molecules Physics of Fluids, vol. 1, pp. 1588-1599, 1989.
6. Y. Sone, Kinetic Theory and Fluid Dynamics, Boston: Birkhäuser, 2002.
7. N. G. Hadjiconstantinou, Comment on Cercignani's Second-Order Slip Coefficient, Physics of Fluids, vol. 15, no. 8, pp. 2352-2354, 2003.
8. J. Maurer, P. Tabeling, P. Joseph, and H. Willaime, Second-Order Slip Laws in Microchannels for Helium and Nitrogen, Physics of Fluids, vol. 15, pp. 2613-2621, 2003.
9. C. Cercignani, The Boltzmann Equation and Its Applications, Springer-Verlag, New York, 1988.
10. G. A. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flows, Clarendon Press, Oxford, 1994.
11. N. G. Hadjiconstantinou, Sound Wave Propagation in Transition-Regime Micro- and Nanochannels, Physics of Fluids, vol. 14, no. 2, pp. 802-809, 2002.
12. W. Wagner, A Convergence Proof for Bird's Direct Simulation Monte Carlo Method for the Boltzmann Equation, Journal of Statistical Physics, vol. 66, pp. 1011-1044, 1992.
13. F. Alexander, A. L. Garcia, and B. Alder, Cell Size Dependence of Transport Coefficients in Stochastic Particle Algorithms, Physics of Fluids, vol. 10, pp. 1540-1542, 1998; Erratum: Physics of Fluids, vol. 12, p. 731, 2000.
14. N. G. Hadjiconstantinou, Analysis of Discretization in the Direct Simulation Monte Carlo, Physics of Fluids, vol. 12, pp. 2634-2638, 2000.
15. A. L. Garcia and W. Wagner, Time Step Truncation Error in Direct Simulation Monte Carlo, Physics of Fluids, vol. 12, pp. 2621-2633, 2000.
16. P. Bahukudumbi, J. H. Park, and A. Beskok, A Unified Engineering Model for Steady and Unsteady Shear-Driven Gas Microflows, Microscale Thermophysical Engineering, vol. 7, pp. 291-315, 2003.
17. J. H. Park, P. Bahukudumbi, and A. Beskok, Rarefaction Effects on Shear Driven Oscillatory Gas Flows: A DSMC Study in the Entire Knudsen Regime, Physics of Fluids, vol. 16, pp. 317-330, 2004.
18. N. G. Hadjiconstantinou, A. L. Garcia, M. Z. Bazant, and G. He, Statistical Error in Particle Simulations of Hydrodynamic Phenomena, Journal of Computational Physics, vol. 187, no. 1, pp. 274-297, 2003.
19. N. G. Hadjiconstantinou, Oscillatory Shear-Driven Gas Hows in the Transition and Free-Molecular Row Regimes, to appear in Physics of Fluids, 2005.
20. T. Ohwada, Y. Sone, and K. Aoki, Numerical Analysis of the Poiseuille and Thermal Transpiration Flows Between Two Parallel Plates on the Basis of the Boltzmann Equation for Hard-Sphere Molecules, Physics of Fluids A, vol. 1, no. 12, pp. 2042-2049, 1989.