Question

Describe the effect on the flow rate given each of the following changes. Each change is...

Describe the effect on the flow rate given each of the following changes. Each change is to the original system and all other variables are held constant:

The radius decreases

The pipe length decreases

The fluid viscosity decreases

The pressure difference decreases

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Answer #1

Flow rate is given by:

Q = Av

where A is the area and v is the velocity.

So, flow rate is dependent on area(and thus velocity) and velocity only.

Thus we have the following:

The radius decreases

Flow rate decreases.

The pipe length decreases

No change.

The fluid viscosity decreases

This increases velocity and thus flow rate increases.

The pressure difference decreases

This increases velocity and thus flow rate increases.

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