A mean field approach for computing solid-liquid surface tension for nanoscale interfaces

2010 ◽  
Vol 132 (5) ◽  
pp. 054706 ◽  
Author(s):  
Chi-cheng Chiu ◽  
R. J. K. Udayana Ranatunga ◽  
David Torres Flores ◽  
D. Vladimir Pérez ◽  
Preston B. Moore ◽  
...  
1995 ◽  
Vol 101 (1-2) ◽  
pp. 217-223 ◽  
Author(s):  
J. E. Rutledge ◽  
D. Ross ◽  
P. Taborek

2018 ◽  
Vol 148 (3) ◽  
pp. 034702 ◽  
Author(s):  
T. Dreher ◽  
C. Lemarchand ◽  
L. Soulard ◽  
E. Bourasseau ◽  
P. Malfreyt ◽  
...  

The direct correlation function between two points in the gas-liquid surface of the penetrable sphere model is obtained in a mean-field approximation. This function is used to show explicitly that three apparently different ways of calculating the surface tension all lead to the same result. They are (1) from the virial of the intermolecular potential, (2) from the direct correlation function, and (3) from the energy density. The equality of (1) and (2) is shown analytically at all temperatures 0 < T < T c where T c is the critical temperature; the equality of (2) and (3) is shown analytically for T ≈ T c , and by numerical integration at lower temperatures. The equality of (2) and (3) is shown analytically at all temperatures for a one-dimensional potential.


2012 ◽  
Vol 18 (3) ◽  
pp. 349-359
Author(s):  
Vijay Sodhi

The most of past studies in foaming trickle bed reactors aimed at the improvement of efficiency and operational parameters leads to high economic advantages. Conventionally most of the industries rely on frequently used gas continuous flow (GCF) where operational output is satisfactory but not yields efficiently as in pulsing flow (PF) and foaming pulsing flow (FPF). Hydrodynamic characteristics like regime transitions are significantly influenced by foaming nature of liquid as well as gas and liquid flow rates. This study?s aim was to demonstrate experimentally the effects of liquid flow rate, gas flow rates and liquid surface tension on regime transition. These parameters were analyzed for the air-aqueous Sodium Lauryl Sulphate and air-water systems. More than 240 experiments were done to obtain the transition boundary for trickle flow (GCF) to foaming pulsing flow (PF/FPF) by use excessive foaming 15-60 ppm surfactant compositions. The trickle to pulse flow transition appeared at lower gas and liquid flow rates with decrease in liquid surface tension. All experimental data had been collected and drawn in the form of four different transitional plots which are compared and drawn by using flow coordinates proposed by different researchers. A prominent decrease in dynamic liquid saturation was observed especially during regime transitional change. The reactor two phase pressure evident a sharp rise to verify the regime transition shift from GCF to PF/FPF. Present study reveals, the regime transition boundary significantly influenced by any change in hydrodynamic as well as physiochemical properties including surface tension.


2000 ◽  
Vol 66 (2) ◽  
pp. 282-286 ◽  
Author(s):  
Kaiji SATO ◽  
Tomonori SEKI ◽  
Seiichi HATA ◽  
Akira SHIMOKOHBE

AIChE Journal ◽  
2018 ◽  
Vol 64 (11) ◽  
pp. 4110-4117 ◽  
Author(s):  
C. Leonard ◽  
J-H. Ferrasse ◽  
O. Boutin ◽  
S. Lefevre ◽  
A. Viand

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