Time required to empty a liquid filled contaier through an orifice

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Discussion Overview

The discussion revolves around calculating the time required to empty a liquid-filled spherical shell through an orifice at the bottom. Participants explore theoretical approaches and relevant principles in fluid dynamics.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant proposes using Bernoulli's equation along a streamline to determine the exit speed of the liquid.
  • Another participant suggests applying Torricelli's Law to the problem, indicating that a hole at the top of the shell is necessary for proper fluid flow.
  • A participant mentions that the scenario resembles a Zahn cup, which may imply a specific context or application related to fluid dynamics.
  • There is a contention regarding whether the original inquiry is a homework question, with differing opinions on the nature of the question.

Areas of Agreement / Disagreement

Participants express differing views on whether the inquiry is a homework question, and there is no consensus on the best approach to calculate the time required to empty the shell.

Contextual Notes

Assumptions regarding the fluid properties, the size of the hole, and the effects of atmospheric pressure are not explicitly stated, which may influence the calculations.

supratim1
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This is not a homework question. I am trying to figure it out myself.

Let a spherical shell of radius R be filled with a liquid (full). Now let a small hole of area A be made at the bottom of the shell. Find the time required to empty the shell completely.
 
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hi supratim1! :wink:

use Bernoulli's equation along a streamline to find the exit speed …

what do you get :smile:

(oh, and i think you'll need a hole at the top of the shell, also! :biggrin:)
 
can't we use the Toricelli's Law? I too think a hole should be there at top.
 
What you're describing is very similar to a Zahn cup.
 
supratim1 said:
This is not a homework question.


It indeed is... i am your classmate and i know it!

And yes, consider the top is open (you can imagine it to have a hole)
 

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