Fluid Flow Calculation for Gravity-Driven System: Velocity and Pipe Diameter

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SUMMARY

The forum discussion centers on calculating the velocity and pipe diameter for a gravity-driven water flow system, specifically for a scenario involving 20 m³/h of water at 20 degrees Celsius flowing through a 50-meter pipe with a 15-meter elevation difference. The key tool referenced is Bernoulli's equation, which is applicable under the assumption of negligible fluid viscosity. Participants emphasize the importance of considering fluid dynamics principles to accurately determine flow characteristics.

PREREQUISITES
  • Understanding of Bernoulli's equation and its applications
  • Knowledge of fluid viscosity and its impact on flow calculations
  • Familiarity with basic hydraulic principles
  • Ability to perform unit conversions and calculations related to flow rate
NEXT STEPS
  • Study the application of Bernoulli's equation in real-world scenarios
  • Learn about the effects of fluid viscosity on flow rates
  • Research methods for calculating pipe diameter based on flow rate and velocity
  • Explore gravity flow systems and their design considerations
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Engineers, fluid dynamics students, and anyone involved in designing or analyzing gravity-driven fluid systems will benefit from this discussion.

birddog
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Hello there,

Im trying to figure this assignment question and I have hit hurdle. Can someone please help with figuring out what the velocity and pipe diameter will be??

Question:
In a plant 20m3(cubic)/h of water at 20 degrees C is to flow via gravity from a storage tank to another one. the difference in elevation is 15m and total pipe length is 50m.

I thought it would be 9.81 m/s because of gravity but that seems too fast.
Can someone please help.

Thanks in advance!
 
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i would give bernoulli's equation a try

p + \frac{1}{2} \rho v^2 + \rho g h = \rm{const}​
remember:

\dot V = \frac{v}{A}​
 
Just to be technical on this.

Bernoulli's equation only works well if the viscosity of the fluid can be neglected.

Follow saunderson's post. I just wanted to throw the viscosity bit in.

Thanks
Matt
 
Last edited:

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