Stokes' Law: Why does viscous drag depend upon the radius of the spherical body?

Click For Summary

Discussion Overview

The discussion centers on Stokes' Law and the reasons behind the dependence of viscous drag on the radius of a spherical body moving through a fluid. It explores the theoretical implications and conceptual understanding of viscous forces in fluid dynamics.

Discussion Character

  • Exploratory, Conceptual clarification

Main Points Raised

  • Some participants note that the viscous drag increases with the radius due to a larger area in contact with the fluid.
  • One participant suggests that a larger area means more fluid is pulled along with the sphere, resulting in a greater reaction force from the fluid.
  • Another participant emphasizes that the work done on the fluid by the moving sphere is dependent on the area of contact.
  • There is a metaphorical expression introduced, suggesting that larger objects experience greater forces, likening it to "big trees catch a lot of wind."

Areas of Agreement / Disagreement

Participants generally agree that the radius affects the viscous drag due to increased area and fluid interaction, but the discussion includes varying interpretations of how this relationship manifests.

Contextual Notes

Some assumptions regarding fluid dynamics and the nature of viscous forces may not be explicitly stated, and the discussion does not resolve the underlying mechanics of the relationship between radius and viscous drag.

Who May Find This Useful

This discussion may be of interest to students and professionals in physics, fluid dynamics, and engineering, particularly those exploring the principles of viscous forces and Stokes' Law.

Kaushik
Messages
282
Reaction score
17
Stokes' Law gives us the value fo viscous force when a spherical body is under motion inside a fluid.
##F_{viscous} = 6\pi\eta av## (where ##a## is the radius of the spherical body and ##v## is the velocity with which it is moving)
What is the reason for the Viscous drag to depend upon the radius of the spherical body?
 
Physics news on Phys.org
The more area, the more grip !
 
  • Like
Likes   Reactions: Kaushik
BvU said:
The more area, the more grip !
Is it like, more the area, more fluid in contact. Hence, it pulls more fluid with it, consequently the reaction force by the fluid on the body is more?
 
Yep !
Dutch expression: "big trees catch a lot of wind" :smile:
 
  • Like
Likes   Reactions: weirdoguy and Kaushik
WORK DONE on the fluid the sphere is moving through depends on area.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
5K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 18 ·
Replies
18
Views
3K
  • · Replies 6 ·
Replies
6
Views
11K
Replies
31
Views
4K
  • · Replies 32 ·
2
Replies
32
Views
3K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 4 ·
Replies
4
Views
12K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K