How Do You Calculate the Flow Rate of Air Through the Trachea?

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Homework Help Overview

The discussion revolves around calculating the flow rate of air through the trachea during inhalation, specifically focusing on the relationship between inhalation volume and time. The context involves understanding the Reynolds number and turbulence in airflow.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss converting measurements from liters to cubic meters and the time taken for inhalation. There is a focus on calculating the flow rate based on the volume of air inhaled and the duration of inhalation.

Discussion Status

Some participants have provided their inhalation times and are exploring how to calculate the flow rate in different units. There is an ongoing dialogue about the accuracy of measurements and the next steps in the calculation process.

Contextual Notes

Participants are working under the assumption that each inhalation is approximately 1.1 liters and are attempting to determine the flow rate based on personal measurements. There is mention of using a stopwatch or an alternative timing method to gather data.

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Homework Statement


Reynolds number and the turbulence of trachael air flow

under the conditions of normal activity an adult inhales about 1.1l of air during each inhalation. using a stop watch, dTErmine the time for one of your own inhalations and hence estimate the volume flow in m^3/s through your trachea during inhalation. The diameter of the trachea is appx 25mm.


Homework Equations





The Attempt at a Solution



I converted 25mm to m = 0.025m
1.1l = 0.001 meters^3
I just can't seem to get the right "inahlation using a stopwatch". I used 0.3m^3/s but that didnt seem to be right at all. Can anyone help me? What is a reasonable vallue for this??
 
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Nellen2222 said:
... using a stop watch, dTErmine the time for one of your own inhalations ...

I just can't seem to get the right "inahlation using a stopwatch". I used 0.3m^3/s but that didnt seem to be right at all. Can anyone help me? What is a reasonable vallue for this??
What did you get for your inhalation time? If you don't have an actual stopwatch, a clock or watch that displays the seconds (in addition to hours and minutes), or one that has a seconds hand, would work.
 
2.5 seconds per inahalation
 
Nellen2222 said:
2.5 seconds per inahalation

If each inhalation contains 1.1 liters (1100cc) and requires 2.5 seconds, what is your inhalation rate in lites/sec (or cubic meters per second or cc/sec)?
 
Nellen2222 said:
2.5 seconds per inahalation
Okay, that sounds totally reasonable. Now you just need to follow Chestermiller's line of questions. You have the amount of air in liters, and the amount of time in seconds. So next you need to calculate the rate in liters/second.
 

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