Draining Closed Tank: Calculating Water Volume at 200m Depth

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SUMMARY

This discussion focuses on calculating the volume of water that can be drained from a closed tank at a depth of 200 meters in seawater. The tank, initially full and sealed at this depth, experiences a pressure differential due to the external seawater pressure (approximately 20 bar) and the internal atmospheric pressure (1 bar) of the submersible vehicle. When the valve at the bottom of the tank is opened, water drains until the pressure inside the tank equals the external pressure, which occurs when the water level drops to a specific point. The discussion emphasizes the importance of understanding fluid dynamics and pressure differentials in this scenario.

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  • Understanding of fluid dynamics principles
  • Knowledge of pressure differentials and their effects on liquid behavior
  • Familiarity with the concept of hydrostatic pressure
  • Basic calculations involving atmospheric pressure and water density
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  • Research hydrostatic pressure calculations at varying depths
  • Study fluid dynamics principles related to draining systems
  • Explore the effects of atmospheric pressure on liquid drainage
  • Learn about pressure equilibrium in closed systems
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Engineers, physicists, and anyone involved in submersible vehicle design or fluid dynamics analysis will benefit from this discussion.

rhino_bill
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Supposing you had a tank mounted to the outside of a submersible vehicle.
The tank lid is left open, and the vessel that taken down to 200m sea water depth, to top of tank.

The tank lid is now closed at this depth; it is assumed that the tank is completely full, with no air gap/bubble on top.

The interior atmosphere of submersible vehicle is at normal atmospheric pressure (1 bar). If the valve on the bottom of the tank is opened, how do you calculate the quantity of water that you can drain from the tank into the vessel (ignore pressure rise in the vessel due to the ingress of water) before the low pressure generated in the tank prevents further sea water egress?
 

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The denser liquid will always drain completely into the submersible. The space above the liquid in the external tank is not stable, i.e. air will flow up through the drain line as water is draining in the opposite direction. Otherwise, you could never drink the contents of a soda can or a beer can.
 

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