Fluid mechanics, source-sink question

Click For Summary
In fluid mechanics, the velocity of liquid entering or exiting a hole in a two-dimensional model is expressed as Q/(2 pi r). The discussion raises a question about the velocity in three dimensions, suggesting it may be Q/(4 pi r^2) for a point source. This formulation is confirmed as correct for three-dimensional scenarios. The conversation highlights the differences in fluid flow modeling between two and three dimensions. Understanding these principles is essential for accurate fluid dynamics analysis.
liometopum
Messages
126
Reaction score
24
Physics news on Phys.org
For a point source, correct.
 
Thank you, Curl!
 

Thread 'Mousetrap Car Energy efficiency'

For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...
View full post »

Similar threads

Frame indifference and stress tensor in Newtonian fluids
  • · Replies 8 ·
Replies
8
Views
2K
Doublet flow in Fluid Dynamics between two spheres or cylinders
  • · Replies 0 ·
Replies
0
Views
2K
Undergrad Drag equation - relative flow velocity
  • · Replies 11 ·
Replies
11
Views
3K
Rotation of fluid like a rigid body in a cylindrical contain
  • · Replies 12 ·
Replies
12
Views
4K
How to calculate mechanic power a person outputs?
  • · Replies 3 ·
Replies
3
Views
4K
Fluid mechanics : Two dimensional converging flow
  • · Replies 3 ·
Replies
3
Views
2K
Question Fluid Mechanics(Robert Granger) fluid Velocity comp.
  • · Replies 2 ·
Replies
2
Views
3K
Applicability of potential flow theory (fluid dynamics)
  • · Replies 3 ·
Replies
3
Views
3K
Model pressure loss vs time for air in a cylinder w/ hole
  • · Replies 15 ·
Replies
15
Views
4K
Graduate Why are the Navier-Stokes equations inconsistent in this case?
  • · Replies 18 ·
Replies
18
Views
2K