Fluid dynamics of container of gas

In summary, the formula for computing the rate of gas exiting a container through a hole is inversely proportional to the square root of the molecular mass of the gas, assuming ideal behavior. It is also directly proportional to the pressure and area of the hole, and may include a constant for a typical ideal gas or air.
  • #1
radagast
484
1
Given a container with a gas, assuming a constant internal/external pressure differential, with a hole of a particular diameter/area, what is formula to compute the rate at which the gas exits the hole.

Assume we're talking ideal gas or air and anything else that I haven't given, but are needed.

You might also assume you're speaking to someone with little or no fluid dynamics under his belt.
 
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  • #2
it is inversely proportional to square root of molecular mass of the gas assuming ideal behaviour

and directly proportional to Pressure and Area of hole
 
  • #3
Thanks.

I assume it would also include some constant. If so, what would the constant be for a typical ideal gas or air? Just getting it into the right ball park is fine - I'm not computing anything exact.
 

FAQ: Fluid dynamics of container of gas

What is fluid dynamics?

Fluid dynamics is the study of how fluids, such as liquids and gases, move and interact with their surroundings. It involves understanding the forces and behaviors that govern the motion of fluids.

What is a container of gas?

A container of gas is a vessel that holds a gas, such as air, at a specific pressure and volume. It can be any type of container, such as a balloon, tank, or canister.

How does gas behave in a container?

Gas molecules are in constant motion, colliding with each other and the walls of the container. The behavior of gas in a container is influenced by factors such as temperature, pressure, and volume. For example, increasing the temperature of a gas will cause its molecules to move faster and exert more pressure on the walls of the container.

What is the relationship between pressure, volume, and temperature in a container of gas?

The relationship between pressure, volume, and temperature in a container of gas is described by the ideal gas law, which states that the product of pressure and volume is directly proportional to the temperature of the gas. This means that if one of these factors changes, the others will also change accordingly.

How does the shape of a container affect the fluid dynamics of gas inside it?

The shape of a container can affect the fluid dynamics of gas inside it in several ways. For example, a larger container will have a greater volume and therefore hold more gas, while a smaller container will have a higher pressure due to a smaller volume. The shape of the container also affects the flow of gas, as it can create areas of high or low pressure which can impact the motion of the gas molecules.

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