Pipe Flow: Neglecting Pipe Length

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SUMMARY

The discussion centers on calculating the velocity of water at the exit of a long concrete pipe using Bernoulli’s equation. The initial velocity at the entrance is 0.7 m/s, but concerns arise regarding the impact of pipe length on velocity due to friction and heat dissipation. It is established that neglecting the length of the pipe can oversimplify the problem, as fluid viscosity and surface roughness can significantly affect the kinetic energy of the fluid. Therefore, a comprehensive analysis must consider these factors to accurately determine the exit velocity.

PREREQUISITES
  • Understanding of Bernoulli’s equation
  • Knowledge of fluid dynamics principles
  • Familiarity with concepts of viscosity and friction
  • Basic grasp of heat transfer in fluids
NEXT STEPS
  • Research the effects of pipe length on fluid velocity in concrete pipes
  • Study the impact of surface roughness on fluid flow and energy loss
  • Learn about advanced fluid dynamics simulations using software like ANSYS Fluent
  • Explore methods for calculating pressure loss in long pipe systems
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Engineers, fluid dynamics researchers, and students studying advanced fluid mechanics who are interested in the effects of pipe length and surface characteristics on fluid flow behavior.

joejoekelly1
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In the diagram attached I have a pipe (standard concrete) that is going from point A (Entrance) to point B (Exit). Standard water is the fluid within the pipe. Point A (entrance) has a constant uninterrupted supply of water at a velocity of 0.7m/s, how do I find the correct velocity at point B (Exit), given that the distance is between point A and Point B is very long? This problem is going around in my head for quite some time now. I have used Bernoulli’s equation to solve for V at point B but I am concerned about the length of the pipe and that neglecting it may be over simplifying the problem. Could it not reduce the velocity over a long distance?
 

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Yes it could. Any fluid with finite viscosity moving past any kind of rough surface would generate heat and thus dissipate some of the kinetic energy of the fluid.

This subject is not typically covered in an introductory course.
 

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