Oscillation frequency of 2D circular drop in an ambient environment

  • #1
joshmccraney
Gold Member
2,244
139
Hi PF!

Do you know what the natural oscillating frequencies are for a 2D circular drop of liquid in an ambient environment (negligible effects)?

Prosperetti 1979 predicts the frequencies for both a spherical drop and bubble here at equations 5b and 6b. There must be a simpler circular 2D extension, right?

Much appreciated!
 

Answers and Replies

  • #2
Baluncore
Science Advisor
12,045
6,160
The problem with a 2D model is that the terms for the surface area, volume and mass are all zero.
 
  • #3
joshmccraney
Gold Member
2,244
139
The problem with a 2D model is that the terms for the surface area, volume and mass are all zero.
A 2D circle for sure exists. I read somewhere that the dimensionless frequency is ##\lambda_n = \sqrt{n(n-1)(n+1)}##. I know for sure one exists: just can't recall the circular bubble and drop exactly.
 
  • #4
joshmccraney
Gold Member
2,244
139
For completeness, I just now read and it seems what I posted in post 3 is correct for a droplet (not a bubble). This is directly given in equation 28 here. Still unsure about the bubble.
 

Suggested for: Oscillation frequency of 2D circular drop in an ambient environment

Replies
1
Views
469
Replies
12
Views
518
  • Last Post
Replies
19
Views
999
  • Last Post
Replies
7
Views
861
Replies
7
Views
1K
Replies
24
Views
2K
Replies
20
Views
843
Replies
3
Views
544
  • Last Post
Replies
2
Views
448
Top