How to Mathematically Model a Single Vane Rotary Vacuum Pump?

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To mathematically model a single vane rotary vacuum pump, one must focus on calculating the work required to operate the pump and the net energy loss from the system. Key considerations include understanding the pump's mechanics and thermodynamics, as well as the relationship between pressure, volume, and work. The analysis may involve applying principles from fluid dynamics and energy conservation. It's important to establish initial conditions and parameters specific to the pump's design. Completing the model will provide insights into the efficiency and performance of the vacuum pump.
Cameron A
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Hi all,

I was recently given a project at my college intership where I am supposed to model a mechanical singe vane rotary vacuum pump mathematically. The objective of the analysis is to find the work required to run the pump and the resulting net loss of energy from the system. I was told this was a fairly simple problem, but I don't know where to star, so any help or direction would be appreciated.

Thanks,
Cameron
 
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Code:
cout<<"work done: "<<work<<" joules\n";
cout<<"net energy loss: "<<netLoss<<" joules\n";

now you just need to add a few more lines at the beginning, and you're all done!
 
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