ho Axis of rotation Free surface Zs he r R Q10) Consider a vertical cylindrical container partially filled with a liquid. The container is now rotated about its axis at a constant angular velocity of o. After initial transients, the liquid will move as a rigid body together with the container. There is no deformation, and thus there can be no shear stress, and every fluid particle in the container moves with the same angular velocity. a) Write the force balance equations. b) Solve for the isobar surface (Zisobar).

ho Axis of rotation Free surface Zs he r R Q10) Consider a vertical cylindrical container partially filled with a liquid. The container is now rotated about its axis at a constant angular velocity of o. After initial transients, the liquid will move as a rigid body together with the container. There is no deformation, and thus there can be no shear stress, and every fluid particle in the container moves with the same angular velocity. a) Write the force balance equations. b) Solve for the isobar surface (Zisobar).

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

ho
Axis of
rotation
Free
surface
Zs
Too
he
r
R
Q10) Consider a vertical cylindrical container partially filled with a liquid. The container is now rotated about its
axis at a constant angular velocity of o. After initial transients, the liquid will move as a rigid body together with the
container. There is no deformation, and thus there can be no shear stress, and every fluid particle in the container
moves with the same angular velocity.
a) Write the force balance equations.
b)
Solve for the isobar surface (Zisobar).
c) Write the equation for pressure at any point in terms of r & z.

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