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Volume Flow Rate for Laminar Flow in Pipe

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The volume flow rate q (L^3 T-^1) for laminar flow in a pipe depends on the radius r (L) , the viscosity µ (M L^-1 T-^1) of the fluid, and the pressure drop per unit length dp/dz (M L^-2 T^-2) .

a) Develop a model for the flow rate q as a function of r , µ , and dp/dz.

b) How does q change if the radius is increased by a factor of two?

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The volume flow rate q (L3 T-1) for laminar flow in a pipe depends on the radius r (L) , the viscosity µ (M L-1 T-1) of the fluid, and the pressure drop per unit length dp / dz (M L-2 T-2) .

a) Develop a model for the flow rate q as a function of r , µ , and dp / dz.

b) How does q change if the radius is increased by a factor of ...

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