Estimating Pressure Loss in Closed Tank: Hole Size vs. Time

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In summary, the conversation discusses how to determine the relationship between hole size and pressure loss in a closed tank. The scenario involves a 300 L tank pressurized to 20 psig with air, resulting in a pressure loss of 1 psi over 1 hour at a temperature of 30 deg. C. The conservation of mass, equation of state, and energy balance are suggested as potential equations to use, and a factor of 2 is recommended to account for nozzle efficiency. It is also noted that the hole size should be small enough to maintain a sonic flow.
  • #1
sarathane
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I am trying to figure out how to equate hole size to pressure loss/time for a closed tank. Here's the scenario:

300 L closed tank
Pressurized to 20 psig with air
Pressure loss is 1 psi over a time period of 1 hour
Temperature is 30 deg. C

How can I relate hole size to this pressure loss? Can assume ideal gas...just need a rough estimate/ball park answer.
 
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  • #2
Use the conservation of mass (ie, continuity equation), the equation of state and an energy balance (ie, bernoulli equation)
 
  • #3
Right - and whatever you get from that, double it, since the nozzle efficiency is probably only 50%.
 
  • #4
Not to mention it will be sonic coming out of any hole that will allow a back pressure that large.
 

What is the purpose of estimating pressure loss in a closed tank?

The purpose of estimating pressure loss in a closed tank is to determine how quickly the pressure inside the tank will decrease over time. This information is important for maintaining the safety and efficiency of the tank, as well as for calculating the required fluid flow for specific processes.

How does hole size affect pressure loss in a closed tank?

The size of a hole in a closed tank can greatly impact the rate of pressure loss. A larger hole will result in a faster decrease in pressure, while a smaller hole will cause a slower decrease. This is because a larger hole allows for more fluid to escape the tank at a faster rate, resulting in a greater pressure drop.

What factors can influence pressure loss in a closed tank?

Aside from hole size, there are several other factors that can affect pressure loss in a closed tank. These include the type and viscosity of the fluid inside the tank, the temperature and pressure of the environment, and the dimensions and material of the tank itself.

Why is time an important factor in estimating pressure loss in a closed tank?

The amount of time that has passed since the hole was created in the tank is crucial in estimating pressure loss. Over time, the pressure inside the tank will continue to decrease as more fluid escapes through the hole. By considering time, we can accurately predict the pressure at different stages and plan for necessary adjustments.

How can estimating pressure loss in a closed tank be useful for practical applications?

Estimating pressure loss in a closed tank is important for various industries and processes. For example, in the oil and gas industry, it is necessary to calculate the pressure loss in pipelines and storage tanks to ensure safe and efficient transportation and storage of fluids. It can also be useful in designing and maintaining pressure vessels for chemical and manufacturing processes.

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