Understanding Viscosity and Its Relation to Friction in Fluid Mechanics

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Discussion Overview

The discussion revolves around the concept of viscosity in fluid mechanics, particularly its definition and its relationship to friction between fluid layers. Participants explore the implications of Newton's relation for viscosity and how it relates to the movement of fluid layers in relative motion.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant seeks clarification on whether viscosity defines the difficulty of moving a layer of liquid relative to another or if it describes the frictional force between layers in relative motion.
  • Another participant agrees with the initial query but raises a point of confusion regarding the relationship between frictional force and the velocity gradient (dv/dx), suggesting that greater frictional force could imply a smaller dv/dx.
  • A different perspective is introduced, indicating that when dv/dx is greater, there is more frictional force, which relates to the attainment of terminal velocity, aligning with Newton's relation.
  • One participant uses an analogy involving boxes on different surfaces to illustrate the concept of viscosity, suggesting that high and low viscosity fluids can be compared to boxes on smooth versus rough surfaces.
  • A later reply questions the clarity of the analogy presented, pointing out a potential inconsistency regarding the discussion of the same fluid versus fluids of different viscosities.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between viscosity, frictional force, and the velocity gradient. There is no consensus on the interpretation of these relationships, and confusion remains regarding the analogy used to explain viscosity.

Contextual Notes

Participants have not resolved the assumptions regarding the definitions of viscosity and frictional force, nor have they clarified the implications of Newton's relation in this context.

Godwin Kessy
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Can anyone help me define viscosity and the Newtons relations to define viscosity
Surely am having a confusion as follows;
Does viscosity define how diffcult is it to move a layer of liquid relative to another!
Or a Frictional force existing between layers in relative motion!

This quetion arised due to the fact that;
F is directly proportinal to dv/dx!
 
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yeah, you can say that.
 
kyiydnlm said:
yeah, you can say that.

But can't you really find a confusion on that!
That, if friction force between layers is greater, that means dv/dx is less because there would exist larger frictional force to allow greater difference in velocity per change in vertical displacement!(contrary to Newton's relation that Frictional force is directly proportional to dv/dx

At the same time when dv/dx is greater there exist more frictional force between layers and that is why terminal velocity can be attained! This goes in hand with the Newton's relation.

So please see this!
 
OK, you can think about it this way. If you put a box on a smooth surface and a same box on a rough surface. and you push them with same force, which one moves faster? or you try to keep them with same speed, which one needs larger force?

now, put two boxes on same surface, but one surface is covered with very thick oil, the other with thin oil. Look, you create fluid layers, one set with high viscosity, the other with low viscosity. they are simillar to boxes on solid surface.

but if you want to understant it more precisely, you have to take a look at its definition [tex]\tau=\mu\frac{dv}{dx}[/tex]
 
[QUOTE
now, put two boxes on same surface, but one surface is covered with very thick oil, the other with thin oil. Look, you create fluid layers, one set with high viscosity, the other with low viscosity. they are simillar to boxes on solid surface.

but if you want to understant it more precisely, you have to take a look at its definition [tex]\tau=\mu\frac{dv}{dx}[/tex][/QUOTE]


you have spoke of same fluid and after the same time you speak of different viscosity
I don't really get you well?
 

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