A rotating viscometer consists of two concentric cylinders—a stationary inner cylinder of radius Ri and an outer cylinder of inside radius Ro rotating at angular velocity (rotation rate) vo. In the tiny gap between the two cylinders is the fluid whose viscosity (m) is to be measured. The length of the cylinders is L. L is large such that end effects are negligible (we can treat this as a two-dimensional problem). Torque (T) is required to rotate the inner cylinder at constant speed. Showing all your work and algebra, generate an approximate expression of T as a function of the other variables.
A rotating viscometer consists of two concentric cylinders—a stationary inner cylinder of radius Ri and an outer cylinder of inside radius Ro rotating at angular velocity (rotation rate) vo. In the tiny gap between the two cylinders is the fluid whose viscosity (m) is to be measured. The length of the cylinders is L. L is large such that end effects are negligible (we can treat this as a two-dimensional problem). Torque (T) is required to rotate the inner cylinder at constant speed. Showing all your work and algebra, generate an approximate expression of T as a function of the other variables.
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
A rotating viscometer consists of two concentric
cylinders—a stationary inner cylinder of radius Ri and an
outer cylinder of inside radius Ro rotating at angular velocity
(rotation rate) vo. In the tiny gap between the two cylinders
is the fluid whose viscosity (m) is to be measured. The length of the cylinders is L. L is large
such that end effects are negligible (we can treat this as a
two-dimensional problem). Torque (T) is required to rotate
the inner cylinder at constant speed. Showing all your work
and algebra, generate an approximate expression of T as a
function of the other variables.
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