3. The viscosity of liquids can be measured through the use of a rotating cylinder viscometer of the type illustrated in Fig. P1.3. In this device the outer cylinder is fixed and the inner cylinder is rotated with an angular velocity w. The torque T, required to develop w is measured and the viscosity is calculated from these two measurements. Develop an equation relating μ, w, T, e, Ro and Ri. Neglect end effects and assume the velocity distribution in the gap is linear.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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3. The viscosity of liquids can be measured through the use of a rotating cylinder viscometer of
the type illustrated in Fig. P1.3. In this device the outer cylinder is fixed and the inner cylinder
is rotated with an angular velocity w. The torque T, required to develop w is measured and
the viscosity is calculated from these two measurements. Develop an equation relating μ, w,
T, e, Ro and Ri. Neglect end effects and assume the velocity distribution in the gap is linear.
The space
Liquid
$
Rotating
inner
cylinder
Fixed
outer
cylinder
Figure P1.3: Rotating cylinder viscometer
GIL
Transcribed Image Text:3. The viscosity of liquids can be measured through the use of a rotating cylinder viscometer of the type illustrated in Fig. P1.3. In this device the outer cylinder is fixed and the inner cylinder is rotated with an angular velocity w. The torque T, required to develop w is measured and the viscosity is calculated from these two measurements. Develop an equation relating μ, w, T, e, Ro and Ri. Neglect end effects and assume the velocity distribution in the gap is linear. The space Liquid $ Rotating inner cylinder Fixed outer cylinder Figure P1.3: Rotating cylinder viscometer GIL
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