Stokes Law, Viscosity. (very simple)

Click For Summary
SUMMARY

This discussion centers on Stokes' Law and the calculation of viscosity using the equation V = [2r^2 (p – σ) g] / 9η. The user inputs specific values for density (p = 7800 kg m-3), fluid density (σ = 1200 kg m-3), and gravitational acceleration (g = 9.8 m s-2) to derive the viscosity equation η = 129360r^2 / 9V. The user expresses confusion regarding the behavior of viscosity, noting that while viscosity is constant at a given temperature, the coefficient of drag varies with the size of the object, indicating a misunderstanding of the relationship between viscosity and drag coefficients.

PREREQUISITES
  • Understanding of Stokes' Law and its application in fluid mechanics
  • Familiarity with the concepts of density and gravitational acceleration
  • Basic knowledge of viscosity and its temperature dependence
  • Ability to manipulate algebraic equations for physical calculations
NEXT STEPS
  • Research the relationship between viscosity and temperature in fluids
  • Learn about the coefficient of drag and its dependence on object size
  • Explore the implications of momentum exchange in viscous fluids
  • Study the applications of Stokes' Law in real-world scenarios, such as sedimentation
USEFUL FOR

Students and professionals in physics, engineering, and materials science who are studying fluid dynamics, particularly those interested in the properties of viscous fluids and their behavior under varying conditions.

mr-tom
Messages
18
Reaction score
0
I'm trying to find the viscosity of some glycerol that we dropped various steel balls down using the equation:

V = [2r^2 (p – σ) g] / 9η

I put in these values:
p = 7800 kg m-3
σ = 1200 kg m-3
g = 9.8 m s-2

And ended up with the equation. η = 129360r^2 / 9V

My problem is that I thought viscosity is a constant. When I put my values in the viscosity decreases as radius decreases.
 
Engineering news on Phys.org
Ok thanks, so i must've made a mistake somewhere...
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 12 ·
Replies
12
Views
34K
  • · Replies 18 ·
Replies
18
Views
3K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
5K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 8 ·
Replies
8
Views
4K