Comparison of direct numerical simulations and particle-image velocimetry data of turbulent channel flow rotating about the streamwise axis
The influence of rotation about the streamwise axis on a turbulent channel flow is discussed by analyzing and comparing numerical and experimental data. The numerical study uses direct numerical simul...
The influence of rotation about the streamwise axis on a turbulent channel flow is discussed by analyzing and comparing numerical and experimental data. The numerical study uses direct numerical simul...
Siloxanes: A new class of candidate Bethe-Zel'dovich-Thompson fluids
This paper presents a new class of Bethe-Zel'dovich-Thompson fluids, which are expected to exhibit nonclassical gasdynamic behavior in the single-phase vapor region. These are the linear and cyclic si...
This paper presents a new class of Bethe-Zel'dovich-Thompson fluids, which are expected to exhibit nonclassical gasdynamic behavior in the single-phase vapor region. These are the linear and cyclic si...
A kinetic-theory based first order slip boundary condition for gas flow
Phys. Fluids 19, 086101 (2007); doi:10.1063/1.2754373
Published 8 August 2007
You are not logged in to this journal. Log in
In this paper, a first-order slip boundary condition is derived using the Chapman-Enskog solution of the Boltzmann equation. In comparison with the existing slip models such as first, second, and 1.5-order slip models, the Poiseuille flow rate predicted by the new slip model shows better agreement with that calculated by the linearized Boltzmann equation. The slip boundary condition is also applied to predict the pressure field in gas lubrication problems.
©2007 American Institute of Physics
| History: | Received 26 October 2006; accepted 2 June 2007; published 8 August 2007 |
| Permalink: |
http://link.aip.org/link/?PHFLE6/19/086101/1 |
| BUY THIS ARTICLE | (US$28) |
|
|
Connotea
CiteULike
del.icio.us
BibSonomy
REFERENCES (22)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- C. M. Ho and Y. C. Tai, “Micro-electro-mechanical-systems and fluid flows,”
Annu. Rev. Fluid Mech. 30, 579 (1998) . - G. E. Karniadakis, N. Aluru, and A. Beskok, Microflows and Nanoflows: Fundamentals and Simulation (Springer, New York, 2005).
- S. Fukui and R. Kaneko, “Analysis of ultra-thin gas film lubrication based on linearized Boltzmann equation: First report-derivation of generalized lubrication equation including thermal creep flow,”
ASME J. Tribol. 110, 253 (1988) . - C. Cercignani and A. Daneri, “Flow of a rarefied gas between two parallel plates,” J. Appl. Phys. 34, 3509 (1963).
- W. Huang and D. B. Bogy, “Three-dimensional direct simulation Monte Carlo method for slider air bearings,” Phys. Fluids 9, 1764 (1997).
- E. H. Kennard, Kinetic Theory of Gases (McGraw-Hill, New York, 1938).
- A. Burgdorfer, “The influence of the molecular mean free path on the performance of hydrodynamic gas lubricated bearing,” ASME J. Basic Eng. 81, 94 (1959).
- Y. T. Hsia and G. A. Domoto, “An experimental investigation of molecular rarefaction effects in gas lubricated bearings at ultra-low clearances,”
ASME J. Lubr. Technol. 105, 120 (1983) . - Y. Mitsuya, “Modified Reynolds equation for ultra-thin film gas lubrication using 1.5-order slip-flow model and considering surface accommodation coefficient,”
ASME J. Tribol. 115, 289 (1993) . - N. G. Hajicontantinou, “Comment on Cercignani's second-order slip coefficient,” Phys. Fluids 15, 2352 (2003).
- A. Beskok and G. E. Karniadakis, “A model for flows in channels, pipes and ducts at micro and nano scales,”
Microscale Thermophys. Eng. 3, 43 (1999) . - L. Wu and D. B. Bogy, “New first and second order slip models for the compressible Reynolds equation,”
ASME J. Tribol. 125, 558 (2003) . - M. Anaya-Dufresne, “On the development of a Reynolds equation for air bearing with contact,” Ph.D. dissertation, Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, PA (1996).
- L. Wu and D. B. Bogy, “A generalized compressible Reynolds lubrication equation with bounded contact pressure,” Phys. Fluids 13, 2237 (2001).
- G. Chen, “Diffusion-transmission interface condition for electron and phonon transport,” Appl. Phys. Lett. 82, 991 (2003).
- W. G. Vincenti and C. H. Kruger Jr., Introduction to Physical Gas Dynamics (Krieger, Florida, 1965).
- L. Mieussens and H. Struchtrup, “Numerical comparison of Bhatnagar-Gross-Krook models with proper Prandtl number,” Phys. Fluids 16, 2797 (2004).
- R. S. Myong, J. M. Reese, R. W. Barber, and D. R. Emerson, “Velocity slip in microscale cylindrical Couette flow: The Langmuir model,” Phys. Fluids 17, 087105 (2005).
- G. Chen, Nanocale Energy Transport and Conversion (Oxford, New York, 2005).
- N. W. Ascroft and N. D. Mermin, Solid State Physics (Fort Worth, TX, 1976).
- J. M. Ziman, Electrons and Phonons (Oxford, New York, 1960).
- S. C. Kang, R. M. Crone, and M. S. Jhon, “A new molecular gas lubrication theory suitable for head-disk interface modeling,” J. Appl. Phys. 85, 5594 (1999).
