Fluid Inside an Ideal Sphere: What Happens?

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When a fluid is contained within an ideal sphere and the sphere is rotated rapidly, the behavior of the fluid depends on its properties. If the fluid is perfectly incompressible, it will maintain its shape and not change, despite the rotation. However, if the fluid is slightly compressible, high rotation speeds can create a vacuum or a thin vapor along the rotation axis. This phenomenon highlights the interplay between fluid dynamics and rotational forces in a confined space. Understanding these effects is crucial for applications in engineering and physics.
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Hi all!

Imagine you have an ideal sphere (made of steel or plastics). Then fill it completely with some fluid, e.g. water. Then rotate it very fast. What happens to a fluid inside? I suppose that it will try to change its shape (from spherical to flat). But there is no space for any size changes (the sphere is completely filled). Thank you very much!

With kind regards,
Jan
 
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If the sphere maintains the shape and size exactly, and if the fluid is perfectly incompressible, then the shape does not change. If the fluid is a real, slightly compressible, fluid, and the rotation is really fast, you can get a vacuum* along the rotation axis.

*more precise: very thin vapor of the liquid
 
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