How can we determine viscosity from a graph using Poiseuille's equation?

In summary, the conversation discusses the use of Poiseuille's equation to find viscosity by either using the gradient of a graph or by re-arranging the equation. The equation for viscosity is given as η= (πρr^4)/(8l ∗gradient), but it can also be represented as y = mx + c, where y represents viscosity and x represents (πρr^4). The question remains on how to effectively use Poiseuille's equation to find viscosity when plotting the varying height of a water tank against the rate of flow.
  • #1
jsmith613
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if we use Poiseuille's equation, plotting the varying height of a water tank againts the rate of flow, does the gradient of the graph tell us the viscosity, or do we re-arrange the equation to find viscoisty.

Thanks
 
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  • #2
jsmith613 said:
if we use Poiseuille's equation, plotting the varying height of a water tank againts the rate of flow, does the gradient of the graph tell us the viscosity, or do we re-arrange the equation to find viscoisty.

Thanks

Gradient = (πρr^4)/8ηl

Re-arranging this gives: η= (πρr^4)/(8l ∗gradient)
BUT if y = mx + c
y = η
and x = (πρr^4)

So how do we use Poiseullie's equation to find viscosity, when we plot height of tank against (x axis) rate of flow (y)

thanks
 

Related to How can we determine viscosity from a graph using Poiseuille's equation?

1. What is viscosity?

Viscosity refers to the measure of a fluid's resistance to flow. In simpler terms, it is the measure of how thick or thin a fluid is.

2. How is viscosity measured?

Viscosity is typically measured using a viscometer, which is a device that measures the time it takes for a fluid to flow through a specific tube or channel. The longer it takes for the fluid to flow, the higher the viscosity.

3. What does a graph of viscosity show?

A graph of viscosity typically shows the relationship between the shear stress (force) applied to a fluid and its resulting shear rate (velocity). This relationship is known as the fluid's viscosity curve.

4. How is viscosity calculated from a graph?

Viscosity can be calculated from a graph by finding the slope of the viscosity curve. The slope represents the fluid's viscosity, with steeper slopes indicating higher viscosity and flatter slopes indicating lower viscosity.

5. What factors affect viscosity?

The viscosity of a fluid can be affected by various factors such as temperature, pressure, and the presence of additives. In general, higher temperatures and lower pressures tend to decrease viscosity, while the presence of additives can either increase or decrease viscosity depending on their properties.

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