How High Can Water Climb in a Tank with a High-Velocity Inlet?

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Discussion Overview

The discussion revolves around determining the maximum height to which water can rise in a tank that has a high-velocity inlet and a hole at the bottom. Participants explore the application of fluid dynamics principles, particularly focusing on the relationship between inlet velocity, pressure, and height of water in the tank.

Discussion Character

  • Homework-related, Technical explanation, Exploratory

Main Points Raised

  • One participant presents a scenario involving a tank with a hole at the bottom and water entering through a pipe, seeking to find the maximum height of water.
  • Another participant requests the original poster to share their attempts and where they are encountering difficulties to provide more targeted assistance.
  • A participant expresses confusion regarding the appropriate formula to use, mentioning an attempt with the pressure formula but noting that pressure is unknown, and suggests that the continuity equation might be relevant.
  • One participant prompts the discussion by asking about the necessary exit velocity for the water.

Areas of Agreement / Disagreement

The discussion does not show clear agreement among participants, as there are varying approaches and uncertainties regarding the formulas and principles to apply.

Contextual Notes

Participants have not settled on specific assumptions regarding pressure or the applicability of the continuity equation, which may affect their conclusions.

naimagul
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In a tank there is a hole at the bottom of radius 5cm.If water entering the vessel with pipe of radius 5cm with velocity 30m/s. Find maximum height to which tank can be filled.
 
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hi naimagul! :wink:

show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 
tiny-tim said:
hi naimagul! :wink:

show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:

Um I am confused about the formula to be used. I tried P=density *g*height but it didn't,the work out because pressure is not known. I wonder if equation for continuity is the possible solution.
 
start with the exit velocity …

what does the exit velocity have to be?​
 

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