What is the Differential Equation for Airflow in a Balloon?

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Homework Help Overview

The discussion revolves around developing a differential equation related to the airflow in a balloon, specifically focusing on the volume and pressure dynamics involved. The original poster expresses difficulty in formulating a suitable equation and clarifies that the task is to describe the volume of the balloon rather than the airflow itself.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants question the clarity of the problem statement, particularly regarding the specifics of the airflow (e.g., whether it is inflating, deflating, or steady state). There are suggestions to consider the characteristics of efflux and the relationship between rubber tension and radius. Some participants encourage the original poster to provide a complete problem statement and share their attempts at a solution.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the problem's specifics and encouraging the original poster to articulate their attempts. There is no explicit consensus yet, but guidance has been offered regarding the need for a clearer problem description and consideration of relevant physical characteristics.

Contextual Notes

Participants note that the original poster's task may have been misinterpreted, emphasizing the need for a complete problem statement. There is also mention of homework rules requiring the original poster to share their attempts before receiving assistance.

Hansemannchen
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I have a problem. The task is to develop an differential equation of the airflow of a balloon. I know that it is dependent on the volume and pressure. But I can't get a good differential equation. Can someone help me?

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Hello Hans, :welcome: !

Here at PF we consider 'tasks' as homework, and for homework we require you post your own attempt at solution before we are allowed to help.

Anyway, helping is difficult if the problem isn't described clearly: 'airflow of a balloon' is not enough to describe what is going on. What air ? Going in, or out, or perhaps around while moving upwards ?
 
Oh sorry I am new to this forum and I may made a mistake :D The task or homework is to discribe the volume of the balloon and not the airflow. And I tried to solve this a few times but I can't come up with a suitable solution.
 
Seems to me you will need to some know the characteristics of the efflux (back pressure vs flow rate). Also you need to understand rubber and how the tension is related to radius. What is the variable you will use to characterize the system?
Assume a spherical balloon ...
 
Have you researched the subject on the web? Try "Inflating a balloon" and see what pops up (no pun intended). Others have tried the same thing as you and you might profit from their efforts.
 
Hansemannchen said:
The task or homework is to discribe the volume of the balloon and not the airflow.
Still incomplete: steady state (--no--) ?, during inflation?, during deflation ?
Please post a complete problem statement -- if you have one, it should help you too !

And I tried to solve this a few times but I can't come up with a suitable solution.
Post your best shot !
 

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