How Does Viscosity Affect Water Flow in Pipes?

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Viscosity significantly impacts water flow in pipes by affecting the frictional losses that occur during laminar flow. In this case, the viscosity of water is crucial for calculating the velocity, as it influences the pressure drop experienced in the pipe. The Bernoulli equation alone is insufficient without accounting for energy losses due to friction, which must be integrated into the calculations. The discussion highlights the need to consider both viscosity and friction when determining flow velocity in a pipe system. Understanding these factors is essential for accurate fluid dynamics analysis.
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Homework Statement



Water is in laminar flow, in a horizontal pipe 2.5 cm in radius. The pressure drop in a 20m section of the pipe is 3000Pa. The viscosity of the water is 1.2 x 10^-3 N *s/m^3. Calculate the velocity of the water along the axis of the pipe.

Homework Equations



The Bernoulli equation

The Attempt at a Solution



I attempted to apply the Bernoulli equation to this problem, but am not sure what to do with the viscosity of water. Every answer I have come up with is not correct.

How does the viscosity fit into this problem (if at all).
 
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Aren't you forgetting about the energy lost to friction added to Bernoulli's equation?
 

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