EFFECT OF NANOSTRUCTURES AND ELECTROSTATIC INTERACTIONS ON MENISCUS SHAPE AND DISJOINING PRESSURE OF THIN LIQUID FILMS

Author(s):  
Han Hu ◽  
Christopher R. Weinberger ◽  
Ying Sun
Langmuir ◽  
2018 ◽  
Vol 34 (38) ◽  
pp. 11364-11373 ◽  
Author(s):  
Stephan Eickelmann ◽  
José Danglad-Flores ◽  
Guoxiang Chen ◽  
Markus S. Miettinen ◽  
Hans Riegler

Author(s):  
Michael Z. Podowski ◽  
Anela Kumbaro

This paper is concerned with the analysis of thin and ultra-thin liquid films. The results are applicable to various geometrical and kinematic conditions, including both stationary and moving surfaces. The new results obtained in this work include: • the derivation of an analytical solution for the evolution of film thickness over the entire multiscale range, from the liquid free surface to the asymptotic (disjoining-pressure controlled) region, and for any surface inclination angle between 0° to 90°, • the formulation of a method to deduce the Hamaker constant based on a single measured value of film thickness at the beginning of the disjoining-pressure-controlled region, applicable to any inclination angle, • the explanation of the reasons why the thickness of liquid films on moving surfaces is normally beyond the range of Van der Waals forces, • the formulation of an expression for the nondimensional asymptotic film thickness as a function of the capillary number; this new result explicitly accounts for the effect of gravity on the average film velocity.


2004 ◽  
Vol 126 (4) ◽  
pp. 565-572 ◽  
Author(s):  
Michael Z. Podowski ◽  
Anela Kumbaro

This paper is concerned with the analysis of thin and ultra-thin liquid films. The results are applicable to various geometrical and kinematic conditions, including both stationary and moving surfaces. The new results obtained in this work include: • the derivation of an analytical solution for the evolution of film thickness over the entire multiscale range, from the liquid free surface to the asymptotic (disjoining-pressure controlled) region, and for any surface inclination angle between 0 deg and 90 deg, • the formulation of a method to deduce the Hamaker constant based on a single measured value of film thickness at the beginning of the disjoining-pressure-controlled region, applicable to any inclination angle, • the explanation of the reasons why the thickness of liquid films on moving surfaces is normally beyond the range of Van der Waals forces, • the formulation of an expression for the nondimensional asymptotic film thickness as a function of the capillary number; this new result explicitly accounts for the effect of gravity on the average film velocity.


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