- #1
pyrexyn
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In an engineering class, we are working in teams to build hovercrafts from scratch. My team is trying to derive all equations with our knowledge instead of looking them up at hovercraft hobbyists' websites, etc. We're only in high school, so our knowledge of physics, especially fluid physics, is limited. We'd appreciate any sort of help.
There is a volume, V, of air in a chamber with pressure, P, which is higher than the standard 14.7 psi. There is a hole in this chamber that leads to a second chamber; the hole's area is A. The second chamber's pressure, p, is at standard (14.7 psi). What is the instantaenous rate of airflow from the first chamber into the second chamber, in terms of the variables V, P, A, and p? (Feel free to create any other necessary variables.)
I say "instantaneous" because I realize that as more air flows from one chamber to another, the pressure decreases in the first chamber, and the air flow must reduce in speed. I imagine that the air fllow's velocity must decrease at a constant rate, but I'm not sure.
To summarize, I need an equation that gives me the air flow (in units such as CFM) dependent on the pressure of the starting chamber, P, and/or the pressure of the ending chamber, p. Other variables such as A (area of the hole) and V (volume of air) are simply constants, and may be ignored.
There is a volume, V, of air in a chamber with pressure, P, which is higher than the standard 14.7 psi. There is a hole in this chamber that leads to a second chamber; the hole's area is A. The second chamber's pressure, p, is at standard (14.7 psi). What is the instantaenous rate of airflow from the first chamber into the second chamber, in terms of the variables V, P, A, and p? (Feel free to create any other necessary variables.)
I say "instantaneous" because I realize that as more air flows from one chamber to another, the pressure decreases in the first chamber, and the air flow must reduce in speed. I imagine that the air fllow's velocity must decrease at a constant rate, but I'm not sure.
To summarize, I need an equation that gives me the air flow (in units such as CFM) dependent on the pressure of the starting chamber, P, and/or the pressure of the ending chamber, p. Other variables such as A (area of the hole) and V (volume of air) are simply constants, and may be ignored.