Cited Article: Thompson, P. A general boundary condition for liquid flow at solid surfaces
Alert Expires: 09 NOV 2010
Number of Citing Articles: 2 new records this week (2 in this e-mail)
Organization ID: 3b97d1bbc1878baed0ab183d8b03130b
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Title:
Rarefied-gas heat transfer in micro- and nanoscale Couette flows
Authors:
Zhou, WD; Liu, B; Yu, SK; Hua, W
Author Full Names:
Zhou, W. D.; Liu, B.; Yu, S. K.; Hua, W.
Source:
PHYSICAL REVIEW E 81 (1): Art. No. 011204 Part 1 JAN 2010
Language:
English
Document Type:
Article
KeyWords Plus:
DISK INTERFACE; FLYING-HEIGHT; AIR-BEARING; LIQUID FLOW; TRANSPORT
Abstract:
The physics of the heat conduction and viscous dissipation in rarefied gases is analyzed and discussed. A heat transfer model valid for arbitrary Knudsen numbers, defined as the ratio of the molecular mean free path to the characteristic length of channels, is derived by treating the heat transfer behavior in the slip and transition regimes as an intermediate function of continuum heat transfer model and free molecular heat transfer model. Comparison studies reveal that this model not only shows good agreement with the numerical results based on the direct simulation Monte Carlo method, but also has some unique features that can overcome the deficiencies existing in the previous models. Therefore, this model is capable to study the heat transport phenomena in very dilute gas Couette flows through micro/nanochannels more accurately.
Reprint Address:
Zhou, WD, A STAR Agcy Sci Technol & Res, Data Storage Inst, DSI Bldg,5 Engn Dr 1, Singapore 117608, Singapore.
Research Institution addresses:
[Zhou, W. D.; Liu, B.; Yu, S. K.; Hua, W.] A STAR Agcy Sci Technol & Res, Data Storage Inst, Singapore 117608, Singapore
Cited References:
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Cited Reference Count:
24
Times Cited:
0
Publisher:
AMER PHYSICAL SOC; ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Subject Category:
Physics, Fluids & Plasmas; Physics, Mathematical
ISSN:
1539-3755
DOI:
10.1103/PhysRevE.81.011204
IDS Number:
548XN
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Title:
Modeling the combined effect of surface roughness and shear rate on slip flow of simple fluids
Authors:
Niavarani, A; Priezjev, NV
Author Full Names:
Niavarani, Anoosheh; Priezjev, Nikolai V.
Source:
PHYSICAL REVIEW E 81 (1): Art. No. 011606 Part 1 JAN 2010
Language:
English
Document Type:
Article
KeyWords Plus:
MOLECULAR-DYNAMICS SIMULATION; BOUNDARY-CONDITION; SOLID-SURFACES; LIQUID FLOW; NO-SLIP; CONTINUUM; INTERFACE; MICROCHANNELS; WALL
Abstract:
Molecular dynamics (MD) and continuum simulations are carried out to investigate the influence of shear rate and surface roughness on slip flow of a Newtonian fluid. For weak wall-fluid interaction energy, the nonlinear shear-rate dependence of the intrinsic slip length in the flow over an atomically flat surface is computed by MD simulations. We describe laminar flow away from a curved boundary by means of the effective slip length defined with respect to the mean height of the surface roughness. Both the magnitude of the effective slip length and the slope of its rate dependence are significantly reduced in the presence of periodic surface roughness. We then numerically solve the Navier-Stokes equation for the flow over the rough surface using the rate-dependent intrinsic slip length as a local boundary condition. Continuum simulations reproduce the behavior of the effective slip length obtained from MD simulations at low shear rates. The slight discrepancy between MD and !
continuum results at high shear rates is explained by examination of the local velocity profiles and the pressure distribution along the wavy surface. We found that in the region where the curved boundary faces the mainstream flow, the local slip is suppressed due to the increase in pressure. The results of the comparative analysis can potentially lead to the development of an efficient algorithm for modeling rate-dependent slip flows over rough surfaces.
Reprint Address:
Niavarani, A, Michigan State Univ, Dept Mech Engn, E Lansing, MI 48824 USA.
Research Institution addresses:
[Niavarani, Anoosheh; Priezjev, Nikolai V.] Michigan State Univ, Dept Mech Engn, E Lansing, MI 48824 USA
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Cited Reference Count:
43
Times Cited:
0
Publisher:
AMER PHYSICAL SOC; ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Subject Category:
Physics, Fluids & Plasmas; Physics, Mathematical
ISSN:
1539-3755
DOI:
10.1103/PhysRevE.81.011606
IDS Number:
548XN
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