Pressure Rise in Closed Tank with 2 Inputs

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SUMMARY

This discussion centers on calculating the time required for the pressure inside a closed cylindrical tank to equalize with the external pressure at a depth of 200 meters. The tank has a height of 2.5 meters and an internal volume of 1.8 m³. Air is supplied at a constant pressure of 30 bar through a side pipe, while the inlet flow rate is controlled by an orifice plate. The initial pressure inside the tank is set at 1 bar, and frictional losses in the pipework are disregarded for the calculation.

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  • Understanding of fluid dynamics principles
  • Knowledge of pressure calculations in closed systems
  • Familiarity with orifice flow equations
  • Basic concepts of gas laws and pressure-volume relationships
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  • Learn about orifice plate flow rate calculations
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Engineers, fluid dynamics specialists, and students studying pressure systems in submarines or similar environments will benefit from this discussion.

rhino_bill
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Supposing you had a cylindrical closed tank inside the body of a submarine; the top of the tank is at 200m depth. The tank has height 2.5m and internal volume 1.8m^3.

A section of pipework is connected between the top surface of the submersible (level with the top of the tank) and to the tank (assume inlet is at the bottom of the tank); an orifice plate will control the incoming flow rate.
A separate pipe connects to the side of the tank, through which air will be supplied at a constant pressure of 30 bar; with volumetric flow rate 5.7m^3/min (if required).

Assuming the initial pressure inside the closed tank is normal atmospheric (1 bar), how would you calculate the time for the pressure of the air bubble in the top of the tank to equalise with the pressure external to the top of the tank at 200m?
Ignore frictional losses in the pipeworks.
 

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