How Does Viscosity Affect Water Flow in Pipes?

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SUMMARY

The discussion focuses on calculating the velocity of water in laminar flow through a horizontal pipe with a radius of 2.5 cm and a pressure drop of 3000 Pa over a 20 m section. The viscosity of water is given as 1.2 x 10^-3 N·s/m². Participants emphasize the importance of incorporating viscosity into the Bernoulli equation, noting that energy lost to friction must be considered to accurately determine the flow velocity. The correct approach involves applying the Hagen-Poiseuille equation to account for viscous effects in laminar flow.

PREREQUISITES
  • Understanding of the Bernoulli equation
  • Knowledge of laminar flow principles
  • Familiarity with viscosity and its units (N·s/m²)
  • Basic grasp of fluid dynamics concepts
NEXT STEPS
  • Study the Hagen-Poiseuille equation for laminar flow calculations
  • Learn about the relationship between viscosity and flow rate in pipes
  • Research energy loss due to friction in fluid dynamics
  • Explore practical applications of Bernoulli's equation in engineering
USEFUL FOR

This discussion is beneficial for students in fluid dynamics, engineers working with pipe systems, and anyone interested in the effects of viscosity on fluid flow in practical applications.

mr.
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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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