Solving for Minimum Duct Diameter in a Hospital Room Air Exchange System

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In summary, to determine the minimum diameter of the duct leading to a hospital room, we need to calculate the volume flow rate required to replace the air in the room every 20 minutes. This can be done by finding the volume of the room and using it to calculate the necessary flow rate. From there, we can use the flow rate and the velocity limit to determine the minimum diameter of the duct using an equation that involves both the duct's cross sectional area and velocity.
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Naeem
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Q. The air in a 6m x 5m x 4m hospital room is to be completed replaced by conditioned air every 20 min. If the average air velocity in the circular air duct leading to the room is not to exceed 5 m/s, determine the minimum diameter of the duct.

We can figure out the volume of the room, knowing the dimensions then what.

time is given, what else can be done?
 
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think about volume flow rate...
 
  • #3
Ok, found out volume flow rate what next
 
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- You have the volume of the room that needs to be replaced every 20 minutes. That should tell you something about the volumetric flow rate needed to come out of the duct.

- If you have a flow rate, what equation also contains the duct's cross sectional area and it's velocity?

Those are two pretty big hints there.
 

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