Can a Funnel Improve Airflow in a Greenhouse Inflator Using PVC and a Vane?

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The discussion centers on creating an inflator for a greenhouse's double roof using 4" PVC and a vane to direct airflow. There is debate over whether adding a funnel to the intake will enhance performance compared to using just the PVC pipe. Theoretical arguments suggest that a funnel won't improve pressure, as it cannot multiply airflow. However, practical considerations indicate that maintaining airflow is crucial for keeping the greenhouse inflated. Ultimately, there is skepticism about the effectiveness of this approach.
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We are trying to make an inflator for the double roof on a greenhouse using 4" pvc and a vane on the back to keep it pointed into the wind. There is a lot of disagreement on whether a funnel on the intake end will make it work any better than just the 4" pipe facing into the wind.
 

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Theoretically, a funnel shouldn't help because pressure is pressure and you can't multiply it, but in reality the system isn't closed and you'll need airflow through it to keep the greenhouse inflated. I think it may be a losing battle, though.
 
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