Poiseuille's equation describes the flow rate of a viscous fluid in a pipe with a pressure difference AP across the ends of the pipe. Q = = ΔΡ R ' where R is the resistance to the flow. The resistance to the flow is given by: R = 8vL Пр4, where is the coefficient of viscosity of the fluid, and L and r are the length and radius of cross section of the pipe, respectively. Note: This is similar to the current in an electrical circuit: I = AV where AV is the voltage difference between the ends of the of a wire of Ꭱ ' resistance R. To increase the flow rate, you should could (pick all statements that are true): decrease the pressure difference between the two ends of the pipe increase the pressure difference between the two ends of the pipe increase the radius of the pipe decrease the radius of the pipe ☐

College Physics
11th Edition
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Poiseuille's equation describes the flow rate of a viscous fluid in a pipe with a pressure
difference AP across the ends of the pipe.
Q
=
ΔΡ
R
where R is the resistance to the flow.
The resistance to the flow is given by:
R =
8vL
πρ4
,
where is the coefficient of viscosity of the fluid, and L and r are the length and
radius of cross section of the pipe, respectively.
Note: This is similar to the current in an electrical circuit:
I =
=
AV
R
where AV is the voltage difference between the ends of the of a wire of
resistance R.
To increase the flow rate, you should could (pick all statements that are true):
decrease the pressure difference between the two ends of the pipe
increase the pressure difference between the two ends of the pipe
increase the radius of the pipe
decrease the radius of the pipe
Transcribed Image Text:Poiseuille's equation describes the flow rate of a viscous fluid in a pipe with a pressure difference AP across the ends of the pipe. Q = ΔΡ R where R is the resistance to the flow. The resistance to the flow is given by: R = 8vL πρ4 , where is the coefficient of viscosity of the fluid, and L and r are the length and radius of cross section of the pipe, respectively. Note: This is similar to the current in an electrical circuit: I = = AV R where AV is the voltage difference between the ends of the of a wire of resistance R. To increase the flow rate, you should could (pick all statements that are true): decrease the pressure difference between the two ends of the pipe increase the pressure difference between the two ends of the pipe increase the radius of the pipe decrease the radius of the pipe
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