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Next: The ``Simple'' General Case Up: Rapid evacuating of a Previous: The Isothermal Process Index
A simple relation of semi rigid chamber when the volume of the chamber is linearly related to the pressure as
where is a constant that represent the physics. This situation occurs at least in small ranges for airbag balloon etc. The physical explanation when it occurs beyond the scope of this book. Nevertheless, a general solution is easily can be obtained similarly to rigid tank. Substituting equation (11.42) into yields
Carrying differentiation result in
Similarly as before, the variables are separated as
The equation (11.45) integrated to obtain the form
The physical meaning that the pressure remains larger thorough evacuating process, as results in faster reduction of the gas from the chamber.
Next: The ``Simple'' General Case Up: Rapid evacuating of a Previous: The Isothermal Process Index Created by:Genick Bar-Meir, Ph.D.
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