Brownian Motion Calculation: Q&A on Greens Function & U Par/Perp @ z=0

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    Brownian motion Motion
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Discussion Overview

The discussion revolves around the calculation of Brownian motion as described in a specific article, focusing on the Green's function for the Stokeslet at a surface and the expressions for velocity components at that surface.

Discussion Character

  • Technical explanation, Homework-related

Main Points Raised

  • One participant expresses uncertainty regarding the expression for the Green's function for the Stokeslet at the surface z=0.
  • The same participant seeks clarification on the expressions for U parallel and perpendicular at the surface z=0.
  • Another participant points out that the initial post lacks a complete URL to the referenced article.
  • A subsequent post provides the complete URL to the article for reference.
  • A later reply indicates difficulty in inserting the link and suggests searching for the article by title instead.

Areas of Agreement / Disagreement

The discussion remains unresolved, with participants expressing different levels of understanding and clarity regarding the calculations and expressions involved.

Contextual Notes

There are indications of missing assumptions related to the boundary conditions and the specific mathematical expressions being referenced, which are not fully detailed in the posts.

germana2006
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I have read the next article and i want to realice the same calculation but i have some doubt

www.chemengr.ucsb.edu/people/faculty/squires/public_html/laugasquires05.pdf

In the section
II. Image systems near a partial slip surface
subsection
a. Set up and boundary conditions

A doubt it's the Green's function for the stokeslet at surface z=0, how it's the expression for r.
And U parallel and perpendicular how it's also the expression at surface z=0.
Thank you very much
 
Last edited:
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You do not have the complete URL in the above post - please fix it.
 
I have try again to insert the link but i don't know what happened.
There are other possibility, in google look for the article:
Brownian motion near a partial-slip boundary: A local probe of the no-slip condition
Eric Lauga, Todd M. squires
 

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