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

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Discussion Overview

The discussion revolves around calculating the minimum diameter of a duct required for an air exchange system in a hospital room, focusing on the necessary volumetric flow rate and air velocity constraints. It involves mathematical reasoning and application of fluid dynamics principles.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant notes the dimensions of the hospital room and the need to replace the air every 20 minutes, prompting the calculation of the room's volume.
  • Another participant suggests considering the volume flow rate as a critical factor in the calculation.
  • A subsequent post indicates that knowing the volumetric flow rate is essential for determining the duct's cross-sectional area and velocity, hinting at relevant equations that relate these variables.

Areas of Agreement / Disagreement

Participants appear to agree on the importance of calculating the volumetric flow rate and its relationship to duct dimensions, but specific methods and next steps remain unresolved.

Contextual Notes

Participants have not yet detailed the assumptions regarding air density or specific equations to be used, and the discussion lacks resolution on the exact calculations needed to find the duct diameter.

Who May Find This Useful

Individuals interested in HVAC design, fluid dynamics, or engineering applications related to air exchange systems may find this discussion relevant.

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...
 
Ok, found out volume flow rate what next
 
- 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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