Two Interconnected Balloons: How Does the Air Flow?

日期:2015-12-15 /人气:2102 /来源:Wenze Shi

Wenze Shi
Nanjing Foreign Language School


 
Summary
Most people may assume that when two partially inflated balloons are connected together, the air will always flow from the larger balloon to the smaller one. This argument seems reasonable and corresponds to our instinct. But is that really so? It is proposed by researches that under some initial conditions, the air may flow from the smaller balloon to the larger one. This article will focus on this issue by theoretical and experimental approaches.
In this article, we will use thermodynamic methods and material science to analyze the cause of the phenomenon and determine the conditions in which one direction of air flow occurs by quantitative analysis. We will use experiment to further test our result and to implement theoretical analysis.
The special characteristics of rubber plays a big part in the phenomenon, and this article reveals those materialistic attributes of rubber that may be beneficial to material science and technological development.
Key words: air pressure, Jame-Guth theory, ideal rubber, T-connector
 
Contents
Summary-------------------------------------------------------------------------------2
Restatement and analysis of the problem -----------------------------------------4
Preliminary experiment--------------------------------------------------------------4
Model assumptions and symbols---------------------------------------------------7
Theoretical analysis------------------------------------------------------------------8
Determine the pressure curve-------------------------------------------------8
Analysis-------------------------------------------------------------------------10
Experiment---------------------------------------------------------------------------12
Experiment setup--------------------------------------------------------------12
Experiment methods-pressure curve----------------------------------------14
Experiment data of the pressure curve--------------------------------------14
Results analysis----------------------------------------------------------------15
Experiment methods and results-two balloons experiment--------------16
Results--------------------------------------------------------------------------------17
Error analysis------------------------------------------------------------------------18
References---------------------------------------------------------------------------19

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