Finding the coefficient of viscosity

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Homework Help Overview

The discussion revolves around determining the coefficient of viscosity in a fluid dynamics context, specifically related to flow between a rotating cylinder and a stationary cylinder. Participants are exploring how to calculate the viscosity using the slope of a line derived from experimental data.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the method of calculating the slope of a line from data points and question the justification for using a zero intercept. There are inquiries about the nature of the measurements and whether they were derived from personal experimentation or provided in the problem statement.

Discussion Status

The discussion is ongoing, with participants actively questioning each other's methods and assumptions. Some guidance has been offered regarding the interpretation of the slope and the potential influence of static friction on the results. There is no explicit consensus on the approach to take.

Contextual Notes

There is mention of the gap between the cylinders being small, which may influence the assumptions made about the flow characteristics. Additionally, the data's relationship to static friction is under consideration.

joshm12
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Homework Statement
How do I work out the coefficient of viscosity when the slope of a graph =0.34
n= coefficient of viscosity
v=speed of rotation
f= force required to maintain speed
Relevant Equations
F=1.67nv
"Calculate the gradient (or slope) of the line and use this and the equation above to calculate the value for the viscosity, η. You MUST use the gradient to calculate the viscosity." here are the results:

1595948993163.png


I'm not sure if it's just me who finds this confusing
 
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Hello @joshm12, :welcome: !

What did you find for the slope of the line ? And how did you do that ? By forcing an intercept 0 ?
Did you make a plot to see if that is justified ?

Are these your own measurements or were they given as part of the problem statement ?
 
@BvU I used the change in y/change in x to find the slope of the line and got 0.34. and the measurements were given as part of the problem
 
Last edited:
joshm12 said:
I used the change in y/change in x
Yes, I know that. How did you do it ?
 
This is for flow between a rotating cylinder and a stationary cylinder. Is the gap between the cylinders small?
 
BvU said:
What did you find for the slope of the line ? And how did you do that ? By forcing an intercept 0 ?
Did you make a plot to see if that is justified ?
 
I think @joshm12 didn't bother: he wasn't seen after #3.

The data don't exclude static friction, so ax+b seems equally justified and gives a slope 0.3

1596486928215.png
 

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