scholarly journals Corrigendum to “Molecular Simulation of the Surface Tension of 33 Multi-site Models for Real Fluids” [J. Mol. Liq. 235 (2017) 126–134]

2021 ◽  
Author(s):  
Stephan Werth ◽  
Simon Stephan ◽  
Martin Horsch ◽  
Hans Hasse

The authors regret that at typesetting stage, additional ‘1’ digits were mistakenly introduced into the tables, leading to an incorrect reproduction of numerical data. Corrected versions of the tables are included here; the affected values, which in the published article [1] erroneously contained an additional leading digit, are highlighted in bold typeface. The text of the article, and the conclusions formulated therein, were based on the correct data and do not require any modification. The authors would like to apologize for any inconvenience caused.

2017 ◽  
Vol 235 ◽  
pp. 126-134 ◽  
Author(s):  
Stephan Werth ◽  
Martin Horsch ◽  
Hans Hasse

2020 ◽  
Vol 30 (10) ◽  
pp. 4493-4527
Author(s):  
Yunpeng Wang ◽  
Roger E. Khayat

Purpose The purpose of this study is to examine theoretically the axisymmetric flow of a steady free-surface jet emerging from a tube for high inertia flow and moderate surface tension effect. Design/methodology/approach The method of matched asymptotic expansion is used to explore the rich dynamics near the exit where a stress singularity occurs. A boundary layer approach is also proposed to capture the flow further downstream where the free surface layer has grown significantly. Findings The jet is found to always contract near the tube exit. In contrast to existing numerical studies, the author explores the strength of upstream influence and the flow in the wall layer, resulting from jet contraction. This influence becomes particularly evident from the nonlinear pressure dependence on the upstream distance, as well as the pressure undershoot and overshoot at the exit for weak and strong gravity levels, respectively. The approach is validated against existing experimental and numerical data for the jet profile and centerline velocity where good agreement is obtained. Far from the exit, the author shows how the solution in the diffusive region can be matched to the inviscid far solution, providing the desired appropriate initial condition for the inviscid far flow solution. The location, at which the velocity becomes uniform across the jet, depends strongly on the gravity level and exhibits a non-monotonic behavior with respect to gravity and applied pressure gradient. The author finds that under weak gravity, surface tension has little influence on the final jet radius. The work is a crucial supplement to the existing numerical literature. Originality/value Given the presence of the stress singularity at the exit, the work constitutes a superior alternative to a computational approach where the singularity is typically and inaccurately smoothed over. In contrast, in the present study, the singularity is entirely circumvented. Moreover, the flow details are better elucidated, and the various scales involved in different regions are better identified.


1981 ◽  
Vol 59 (5) ◽  
pp. 673-677
Author(s):  
S. K. Datta

Closed analytical expressions for the surface tension and the shear viscosity coefficient of a square-well fluid have been obtained using the mean spherical model approximation (MSMA) and the exact hard sphere equation of state given by Carnahan and Stirling. The expressions are then used to calculate these properties for some real fluids. The fair agreement between the calculated and experimental values in the case of several symmetric nonpolar molecules, suggests that the representation of the attractive tail by a square-well potential is a satisfactory one even in the calculation of these complex properties and that the use of MSMA in the elucidation of the equilibrium and transport properties of liquids provides a more or less satisfactory and convenient approach.


2008 ◽  
Vol 595 ◽  
pp. 435-459 ◽  
Author(s):  
GEORG F. DIETZE ◽  
A. LEEFKEN ◽  
R. KNEER

The phenomenon of backflow in the capillary wave region of laminar falling liquid films is studied in detail. For the first time, the mechanism leading to the origination of the phenomenon is identified and explained. It is shown that backflow forms as the result of a separation eddy developing at the bounding wall similar to the case of classical flow separation. Results show that the adverse pressure distribution causing the separation of the flow in the capillary wave region is induced by the strong third-order deformation (i.e. change in curvature) of the liquid–gas free surface there. This deformation acts on the interfacial pressure jump, and thereby the wall pressure distribution, as a result of surface tension forces. It is shown that only the capillary waves, owing to their short wavelength and large curvature, impose a pressure distribution satisfying the conditions for flow separation. The effect of this capillary separation eddy on momentum and heat transfer is investigated from the perspective of modelling approaches for falling liquid films. The study is centred on a single case of inclined liquid film flow in the visco-capillary regime with surface waves externally excited at a single forcing frequency. Investigations are based on temporally and spatially highly resolved numerical data obtained by solving the Navier–Stokes equations for both phases. Computation of phase distribution is performed with the volume of fluid method and the effect of surface tension is modelled using the continuum surface force approach. Numerical data are compared with experimental data measured in the developed region of the flow. Laser-Doppler velocimetry is used to measure the temporal distribution of the local streamwise velocity component, and confocal chromatic imaging is employed to measure the temporal distribution of film thickness. Excellent agreement is obtained with respect to film thickness and reasonable agreement with respect to velocity.


Author(s):  
Stefan Eckelsbach ◽  
Tatjana Janzen ◽  
Andreas Köster ◽  
Svetlana Miroshnichenko ◽  
Yonny Mauricio Muñoz-Muñoz ◽  
...  

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