Does anyone know this equation? (fluid dynamics, Stokes law)

  • Thread starter astro111
  • Start date
  • #1
4
0
I was doing some research into my coursework (don't worry, this isn't a real 'help!' thread) on Stokes law, and I found this equation on this forum (posted in 2010), regarding the effect of the walls of a pipe on the calculated value for viscosity when a sphere is dropped through that pipe (sorry if that doesn't make sense!). The equation supposedly gives an approximate correction for that value of viscosity, taking into account the diameter of the pipe.
The equation is: mu_c = mu[1 - 2.104 d/D + 2.09 (d/D)^3 - 0.95 (d/D)^5]
where mu_c is the corrected viscosity, d is the diameter of the sphere and D the diameter of the pipe.

Does anyone know the origin of this equation, or whether it is accepted? I've been googling it for the past half an hour, but I'm yet to find anything! Thanks.
 

Answers and Replies

  • #3
4
0
Indeed, however I was wondering if anyone knew where the equation originally came from (or whether it was simply devised by the website linked in that thread).

I've heard something about it being derived by someone called Faxen?
 
  • #4
516
63
Without knowing anything about it, that equation looks very much like a Taylor series expansion of some odd function.
 

Related Threads on Does anyone know this equation? (fluid dynamics, Stokes law)

  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
17
Views
3K
Replies
8
Views
1K
Replies
1
Views
2K
Replies
2
Views
2K
Replies
5
Views
622
Replies
6
Views
6K
Replies
2
Views
2K
Top