A long, cylindrical rod of radius R is positioned vertically in a large container of liquid and cotated at an angular velocity w. Far from the rod the liquid-air interface is at z = ho. (a) Determine the velocity and pressure in the liquid. (b) Assuming that the immersed length of rod is L, calculate the torque that must be applied to maintain the steady rotation. (c) Neglecting surface tension, determine the height of the liquid-air interface, h(r).

A long, cylindrical rod of radius R is positioned vertically in a large container of liquid and cotated at an angular velocity w. Far from the rod the liquid-air interface is at z = ho. (a) Determine the velocity and pressure in the liquid. (b) Assuming that the immersed length of rod is L, calculate the torque that must be applied to maintain the steady rotation. (c) Neglecting surface tension, determine the height of the liquid-air interface, h(r).

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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