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A rotating viscometer consists of two concentric
Chapter 2, Problem 86P(choose chapter or problem)
Problem 86P
A rotating viscometer consists of two concentric cylinders—a stationary inner cyliner of radiusRi and an outer cylinder of inside radiusR0 rotating at angular velocity (rotation rate) w0. In the tiny gap between the two cylinders is the fluid whose viscosity (µ) is to be measured. The length of the cylinders (into the page in Fig. P2-92) 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 varilables.
FIGURE P2-92
Questions & Answers
QUESTION:
Problem 86P
A rotating viscometer consists of two concentric cylinders—a stationary inner cyliner of radiusRi and an outer cylinder of inside radiusR0 rotating at angular velocity (rotation rate) w0. In the tiny gap between the two cylinders is the fluid whose viscosity (µ) is to be measured. The length of the cylinders (into the page in Fig. P2-92) 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 varilables.
FIGURE P2-92
ANSWER:
Step 1
A viscometer is an instrument used to measure the viscosity of a fluid.Viscometers only measure under one flow condition.