Calculation method of the number density distribution of liquid molecules or colloidal particles near a substrate from surface force apparatus measurement

2020 ◽  
Vol 754 ◽  
pp. 137666
Author(s):  
Kota Hashimoto ◽  
Ken-ichi Amano ◽  
Naoya Nishi ◽  
Tetsuo Sakka
Keyword(s):  
Density Distribution ◽  
Calculation Method ◽  
Colloidal Particles ◽  
Surface Force ◽  
Number Density ◽  
Surface Force Apparatus

Polymer-surfactant interactions studied with the surface force apparatus

1991 ◽  
Vol 146 (1) ◽  
pp. 242-250 ◽  
Author(s):  
J-F Argillier ◽  
R Ramachandran ◽  
W.C Harris ◽  
M Tirrell
Keyword(s):  
Surface Force ◽  
Surface Force Apparatus ◽  
Surfactant Interactions ◽  
Polymer Surfactant

Force Titration of Langmuir−Blodgett Bilayers of Glycine Amphiphiles:  JKR-Type Measurements Using the Surface-Force Apparatus

Langmuir ◽  
2002 ◽  
Vol 18 (7) ◽  
pp. 2702-2709 ◽  
Author(s):  
James Schneider ◽  
Yoav Dori ◽  
Kraig Haverstick ◽  
Matthew Tirrell ◽  
Ravi Sharma
Keyword(s):  
Surface Force ◽  
Surface Force Apparatus ◽  
Langmuir Blodgett

scholarly journals The Milky Way Tomography with SDSS. I. Stellar Number Density Distribution

2008 ◽  
Vol 673 (2) ◽  
pp. 864-914 ◽  
Author(s):  
Mario Jurić ◽  
Željko Ivezić ◽  
Alyson Brooks ◽  
Robert H. Lupton ◽  
David Schlegel ◽  
...  
Keyword(s):  
Density Distribution ◽  
Milky Way ◽  
Number Density

scholarly journals Approximate Moment Methods for Population Balance Equations in Particulate and Bioengineering Processes

Processes ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 414
Author(s):  
Robert Dürr ◽  
Andreas Bück
Keyword(s):  
Differential Equations ◽  
Density Distribution ◽  
Population Balance ◽  
Specific Class ◽  
Number Density ◽  
Balance Equations ◽  
Population Balance Modeling ◽  
Closed Set ◽  
Population Balance Equations ◽  
Moment Methods

Population balance modeling is an established framework to describe the dynamics of particle populations in disperse phase systems found in a broad field of industrial, civil, and medical applications. The resulting population balance equations account for the dynamics of the number density distribution functions and represent (systems of) partial differential equations which require sophisticated numerical solution techniques due to the general lack of analytical solutions. A specific class of solution algorithms, so-called moment methods, is based on the reduction of complex models to a set of ordinary differential equations characterizing dynamics of integral quantities of the number density distribution function. However, in general, a closed set of moment equations is not found and one has to rely on approximate closure methods. In this contribution, a concise overview of the most prominent approximate moment methods is given.

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