Molecular dynamics simulations are performed to calculate the surface tension of bubbles formed in a metastable Lennard–Jones (LJ) argon fluid. The calculated normal and transverse pressure components are used to compute a surface tension which is compared to the surface tension computed from the Young–Laplace equation. Curvature effects on surface tension are investigated by performing various sized simulations ranging from 6912 to 256,000 LJ particles. The computed surface tension values differ depending on the calculation method for the smaller systems studied but the methods converge as the system size increases. Surface tension calculations on small bubbles may not be appropriate since the liquid farthest from the interface has yet to achieve the pressure profile of a homogeneous fluid. Density profiles, pressures, and calculated surface tensions are shown to have a strong dependence on the choice of the interaction cutoff radius. A cutoff radius of 8σ, significantly larger than that commonly used in the literature, is recommended for accurate calculations in liquid–vapor systems.

References

1.
Faulkner
,
D.
,
Khotan
,
M.
, and
Shekarriz
,
R.
, 2004, “
Managing Electronics Thermal Management
,”
Heat Transfer Eng.
,
25
, pp.
1
4
.
3.
Incropera
,
F. P.
, and
Dewitt
,
D. P.
, 2002,
Fundamentals of Heat and Mass Transfer
, 5th ed.,
Wiley
,
New York
.
4.
Honda
,
H.
,
Takamatsu
,
H.
, and
Wei
,
J. J.
, 2002,
Enhanced Boiling of FC-72 on Silicon Chips With Micro-Pin-Fins and Submicron-Scale Roughness
,”
J. Heat Transfer
,
124
, pp.
383
390
.
5.
Feng
,
L.
,
Li
,
S.
,
Li
,
Y.
,
Li
,
H.
,
Zhang
,
L.
,
Zhai
,
J.
,
Song
,
Y.
,
Liu
,
B.
,
Jiang
,
L.
, and
Zhu
,
D.
, 2002, “
Super-Hydrophobic Surfaces: From Natural to Artificial
,”
Adv. Mater.
,
14
, pp.
1857
1860
.
6.
Yang
,
W. J.
, and
Tsutsui
,
K. T.
, 2000, “
Overview of Boiling on Microstructures—Macro Bubbles From Micro Heaters
,”
Microscale Thermophys. Eng.
,
4
, pp.
7
24
.
7.
Reed
,
S. J.
, and
Mudawar
,
I.
, 1999, “
Elimination of Boiling Incipience Temperature Drop in Highly Wetting Fluids Using Spherical Contact With a Flat Surface
,”
Int. J. Heat Mass Transfer
,
42
, pp.
2439
2454
.
8.
Jung
,
D.
,
An
,
K.
, and
Park
,
J.
, 2004, “
Nucleate Boiling Heat Transfer Coefficients of HCF22, HFC134a, HFC125, and HFC32 on Various Enhanced Tubes
,”
Int. J. Refrigeration
,
27
, pp.
202
206
.
9.
Kosar
,
A.
,
Kuo
,
C.-J.
, and
Peles
,
Y.
, 2005,
“Boiling Heat Transfer in Rectangular Microchannels With Reentrant Cavities
,”
Int. J. Heat Mass Transfer
,
48
, pp.
4867
4886
.
10.
Chen
,
R.
,
Lu
,
M.-C.
,
Srinivasan
,
V.
,
Wang
,
Z.
,
Cho
,
H. H.
, and
Majumdar
,
A.
, 2009, “
Nanowires for Enhanced Boiling Heat Transfer
,”
Nano Lett.
,
9
, pp.
548
553
.
11.
Ujereh
,
S.
,
Fisher
,
T.
, and
Mudawar
,
I.
, 2007, “
Effects of Carbon Nanotube Arrays on Nucleate Pool Boiling
,”
Int. J. Heat Mass Transfer
,
50
, pp.
4023
4038
.
12.
Carey
,
V. P.
, 1992,
Liquid–Vapor Phase Change Phenomena
,
Hemisphere Publishing Corp.
,
Washington, DC
.
13.
Tolman
,
R. C.
, 1949, “
The Effect of Droplet Size on Surface Tension
,”
J. Chem. Phys.
,
17
, pp.
333
337
.
14.
Thompson
,
S. M.
,
Gubbins
,
K. E.
,
Walton
,
J. P. R. B.
,
Chantry
,
R. A. R.
, and
Rowlinson
,
J. S.
, 1984, “
A Molecular Dynamics Study of Liquid Drops
,”
J. Chem. Phys.
,
81
, pp.
530
542
.
15.
Nijmeijer
,
M. J. P.
,
Bakker
,
A. F.
,
Bruin
,
C.
, and
Sikkenk
,
J. H.
, 1988, “
A Molecular Dynamics Simulation of the Lennard–Jones Liquid–Vapor Interface
,”
J. Chem. Phys.
,
89
, pp.
3789
3792
.
16.
Tsuda
,
S.
,
Takagi
,
S.
, and
Matsumoto
,
Y.
, 2008, “
A Study on the Growth of Cavitation Bubble Nuclei Using Large-Scale Molecular Dynamics Simulations
,”
Fluid Dyn. Res.
,
40
, pp.
606
615
.
17.
Kinjo
,
T.
, and
Matsumoto
,
M.
, 1998, “
Cavitation Processes and Negative Pressure
,”
Fluid Phase Equilib.
,
144
, pp.
343
350
.
18.
Park
,
S. H.
,
Weng
,
J. G.
, and
Tien
,
C. L.
, 2001, “
A Molecular Dynamics Study on Surface Tension of Microbubbles
,”
Int. J. Heat Mass Transfer
,
44
, pp.
1849
1856
.
19.
Matsumoto
,
M.
, and
Tanaka
,
K.
, 2008, “
Nano Bubble-Size Dependence of Surface Tension and Inside Pressure
,”
Fluid Dyn. Res.
,
40
, pp.
546
553
.
20.
Nagayama
,
G.
,
Tsuruta
,
T.
, and
Cheng
,
P.
, 2006, “
Molecular Dynamics Simulation on Bubble Formation in a Nanochannel
,”
Int. J. Heat Mass Transfer
,
49
, pp.
4437
4443
.
21.
Plimpton
,
S. J.
, 1995, “
Fast Parallel Algorithms for Short-Range Molecular Dynamics
,”
J. Comput. Phys.
117
, pp.
1
19
.
22.
Nicolas
,
J. J.
,
Gubbins
,
K. E.
,
Streett
,
W. B.
, and
Tildesley
,
D. J.
, 1979, “
Equation of State for the Lennard–Jones Fluid
,”
Mol. Phys.
,
37
(
5
), pp.
1429
1454
.
23.
Humphrey
,
W.
,
Dalke
,
A.
, and
Schulten
K.
, 1996, “
VMD—Visual Molecular Dynamics
,”
J. Mol. Graphics
,
14
, pp.
33
38
.
24.
Rowlinson
,
J. S.
, and
Widom
,
B.
, 1982,
Molecular Theory of Capillarity
,
Oxford University Press
,
New York
.
25.
Haile
,
J. M.
, 1992,
Molecular Dynamics Simulation: Elementary Methods
,
Wiley
,
New York
.
26.
Daubert
T. E.
, and
Danner
,
R. P
, 1989,
Physical and Thermodynamic Properties of Pure Chemicals: Data Compilation
,
Hemisphere Publishing Corp.
,
Washington
, DC.
27.
Santra
,
M.
,
Chakrabarty
,
S.
, and
Bagchi
,
B.
, 2008, “
Gas-Liquid Nucleation in a Two Dimensional System
,”
J. Chem. Phys.
,
129
, p.
234704
.
28.
Baidakov
,
V. G.
,
Chernykh
,
G. G.
, and
Protsenko
,
S. P.
, 2000, “
Effect of the Cut-Off Radius of the Intermolecular Potential on Phase Equilibrium and Surface Tension in Lennard–Jones Systems
,”
Chem. Phys. Lett.
,
321
, pp.
315
320
.
29.
Allen
,
M. P.
, and
Tildesley
,
D. J.
, 1987,
Computer Simulation of Liquids
,
Oxford University Press
,
Oxford
.
30.
Weng
,
J.-G.
,
Park
,
S. H.
,
Lukes
,
J. R.
, and
Tien
,
C. L.
, 2000, “
Molecular Dynamics Investigation of Thickness Effect on Liquid Films
,”
J. Chem. Phys.
,
113
, pp.
5917
5923
.
31.
Sinha
,
S.
,
Dhir
,
V. K.
,
Shi
,
B.
,
Freund
,
J. B.
, and
Darve
,
E.
, 2003,
“Surface Tension Evaluation in Lennard–Jones Fluid System With Untruncated Potentials,” Proceedings of the ASME Summer Heat Transfer Conference
,
Las Vegas, NV
.
You do not currently have access to this content.