Fluid under centrifugal force (Basic)

AI Thread Summary
When a fluid in a cylinder is spun around its central axis, the surface shape approaches a paraboloid of revolution, influenced by the rotation speed. If the cylinder is rolling, the fluid's surface may behave differently, potentially resembling a catenary rather than a parabola, though this is debated. Atmospheric pressure is not necessary for the fluid to form a parabola; it can also occur in a vacuum. The discussion references "Transport Phenomena" for clarity on these principles. Understanding the dynamics of fluid behavior under centrifugal force is essential for accurate predictions in various applications.
alexsb92
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Hi,

What happens to the fluid in a cylinder that is spinned around it's central axis? Would it matter if there would be a bit of air?

Thanks very much,
Alex
 
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Depending on how fast you rotate the cylinder, the shape of the surface will approach that of a paraboloid of revolution.

Thanks
Matt
 
Hey,

Thanks for the info, but i think i was a bit unclear, as I was meaning that the cylinder is rolling. Forgot that the direction of it will make a difference.

Any ideas about that?
 
I don't have the math to back this up, but something's nagging at the back of my head to suggest you're more likely to get a catenary rather than a parabola. I Could be totally wrong on this... Anyone know for sure?
 
Check out "Transport Phenomena" by Bird, Stewart, and Lightfoot.

If the fluid surface is exposed to atmospheric pressure (14.696 psi) then the shape will be a paraboloid of revolution.

Thanks
Matt
 
Why the need for atmospheric pressure? A fluid spun in a rotationally will form a parabola in a vacuum, why is this necessary for the rolling cylinder?
 
Yes, a fluid under vacuum will produce the same result. I was just stating the conditions used in the Transport Phenomena book for clarity.

Thanks
Matt
 
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