Physical principles of hovercraft?

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Constructing a hovercraft requires a solid understanding of fluid mechanics and relevant equations, particularly Bernoulli's equation, which relates static pressure and airflow to lift. Familiarity with concepts such as static pressure and skirt area is essential for calculating lift. A background in calculus and differential equations is beneficial, especially when dealing with more complex fluid dynamics like the Navier-Stokes equations. Although many online plans simplify the mechanics, a deeper mathematical understanding can enhance design and functionality. Gaining knowledge in these areas will provide a more precise grasp of hovercraft operation.
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Ok, plans for constructing your own hovercraft are ubiquitous on the internet these days. Most of them give simplistic explanations of how the craft work, but I'd like to know a little more. What kind of knowledge does one need to understand hovercraft in a precise mathematical way?

I'm sorry if my question is vague or poorly phrased. I guess what I'm looking for is a little direction, i.e. that I should familiarize myself with such-and-such equations from fluid mechanics. My physics education is rather limited (I've taken a single course on mechanics for first-year engineers), but I've taken several classes on calculus (single and multivariable), linear and non-linear ODEs, and an introductory course to PDEs. For the record I've at least heard of the Navier-Stokes equations.
 
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This might be of some assistance. At least, it's a start.
"tagteamdbserver.mathworks.com/ttserverroot/Download/28442_AIAA-2005-6293_Denery.pdf"[/URL]
Hmmm... apparently the server for that went down right after I posted the link. Coincidence...? :rolleyes:
 
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Hovercraft aren't very difficult - all you need it is static pressure and airflow from Bernoulli's equation. Static pressure multiplied by the skirt area gives you lift.
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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