How Long to Fill Tank B from Tank A Using a 100mm Pipe?

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SUMMARY

The discussion centers on calculating the time required to fill Tank B (50m³) from Tank A (100m³) using a 100mm diameter pipe. The flow rate decreases as Tank B fills, necessitating the use of the Bernoulli equation to accurately model the flow dynamics. Participants emphasize the importance of understanding fluid dynamics principles to derive the correct formula for varying flow rates. The key takeaway is that the filling time is influenced by both the pipe diameter and the height of the water in Tank A.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with the Bernoulli equation
  • Knowledge of flow rate calculations
  • Basic concepts of tank volume and dimensions
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  • Study the Bernoulli equation and its applications in fluid mechanics
  • Learn about flow rate calculations for different pipe sizes
  • Research tank filling dynamics and how height affects flow
  • Explore practical examples of fluid flow in engineering scenarios
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Engineers, fluid dynamics students, and anyone involved in hydraulic systems design will benefit from this discussion.

robhare
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Goodday . i wonder if anyone can help with this .
I looking for the formula to the below problem inorder to use same to transpose in case i shoild need the pipe size in another case


Two tanks , tank A and tank B.
How much time in hours to fill tank B. Where Tank A is a full water tank( always being filled up from the top)of 100m^3 with a pipe on the bottom filling into tank B , an empty water tank of 50m^3 . The pipe is 100mm in diametre.
Both tanks are 10 m high
And where 1m^3 of water = 1 ton

The problem I.m having is that the flow rate slows down as the tank fills'
 
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Have you tried the Bernoulli equation?
 

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