Dimensional Analysis with non-dimensional initial parameter

  • Thread starter Zoli
  • Start date
  • #1
20
0
I would like non-dimensionalize the equations which describe a non-Newtonian fluid model. In the constitutive equation (power-law model) there is a non-dimensional parameter: n. According to Buckingham's Pi theory, I must take all the relevant independent parameters (variables, constants, etc.) into account to form non-dimensional parameters. Parameter n should also be included, but (since it is non-dimensional) it will not appear anywhere. How can I handle this situation? I am sure that there are other areas in physics where initially known non-dimensional parameters turn up.

Thanks,
Zoli
 

Answers and Replies

  • #2
20
0
I managed to solve it.
 
  • #3
30,141
6,590
How did you solve it? I have to admit I was stumped and hoped for an answer.
 
  • #4
20
0
How did you solve it? I have to admit I was stumped and hoped for an answer.
I realised that a dependent parameter (the consistency index: K[Pa s^n]) includes this non-dimensional parameter and this is the only one that changes when we consider a power-law fluid instead of a Newtonian fluid. Therefore we do not have to take this non-dimensional parameter into account as for the other quantities.
 
  • #5
30,141
6,590
That makes sense.
 

Related Threads on Dimensional Analysis with non-dimensional initial parameter

  • Last Post
Replies
1
Views
527
  • Last Post
Replies
16
Views
1K
  • Last Post
Replies
5
Views
924
  • Last Post
2
Replies
26
Views
5K
  • Last Post
Replies
6
Views
3K
  • Last Post
Replies
17
Views
1K
  • Last Post
Replies
5
Views
16K
  • Last Post
Replies
1
Views
2K
Replies
12
Views
1K
  • Last Post
Replies
1
Views
697
Top