Propagating high-frequency shear waves in simple fluids

Physics of Fluids

Volumn 21, Issue 1, 2009, Pages

  Colosqui, Carlos ^a   Chen, Hudong ^b   Shan, Xiaowen ^b   Staroselsky, I ^b   Yakhot, Victor ^a  

^a BOSTON UNIVERSITY   (United States)

^b EXA CORPORATION   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOLTZMANN EQUATION; DIFFUSION IN LIQUIDS; INITIAL VALUE PROBLEMS; SHEAR WAVES;

COMPLEX DYNAMICS; DIFFUSION EQUATIONS; HIGH FREQUENCY HF; KNUDSEN NUMBERS; LATTICE BOLTZMANN; SIMPLE FLUIDS; THERMODYNAMIC EQUILIBRIA; TRAVELING WAVE;

SHEAR FLOW;

EID: 59649095597     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3059547     Document Type: Article

References (13)

1. J.-P. Boon and S. Yip, Molecular Hydrodynamics (Dover, New York, 1980).
2. A. Groisman and V. Steinberg, "Elastic turbulence in a polymer solution flow, " Nature (London) 405, 53 (2000).
3. L. D. Landau and E. M. Lifshitz, Physical Kinetics (Pergamon, Oxford, 1981);
4. L. I. Mandelstam and M. A. Leontovich, "On the theory of sound absorption in fluids," Zh. Eksp. Teor. Fiz. 7, 438 (1937).
5. V. Yakhot and C. Colosqui, "Stokes' second flow problem in a high frequency limit: Application to nanomechanical resonators," J. Fluid Mech. 586, 249 (2007).
6. D. Karabacak, V. Yakhot, and K. Ekinci, "High-frequency nanofluidics: An experimental study using nanomechanical resonators," Phys. Rev. Lett. 98, 254505 (2007).
7. R. Zhang, X. Shan, and H. Chen, "Efficient kinetic method for fluid simulation beyond the Navier-Stokes equation," Phys. Rev. E 74, 046703 (2006).
8. L. D. Meshalkin and Ya. G. Sinai, "Investigation of the stability of a stationary solutions of a system of equations for the planar movement of an incompressible viscous fluid," Appl. Math. Mech. 25, 1700 (1961);
9. V. Yakhot and R. Pelz, "Large-scale structure generation by anisotropic small-scale flows," Phys. Fluids 30, 1272 (1987).
10. P. L. Bhatnagar, E. Gross, and M. Krook, "A model for collisions in gases I. Small amplitude processes in charged and neutral one-component systems," Phys. Rev. 94, 511 (1954).
11. H. Chen, S. A. Orszag, and I. Staroselsky, "Macroscopic description of arbitrary Knudsen number flow using Boltzmann-BGK kinetic theory," J. Fluid Mech. 574, 495 (2007).
12. X. Shan, X. Yuan, and H. Chen, "Kinetic theory representation of hydrodynamics: A way beyond the Navier-Stokes equations," J. Fluid Mech. 550, 413 (2006).
13. I. V. Karlin, "Exact summation of the Chapman-Enskog expansion from moment equations," J. Phys. A 33, 8037 (2000).