An incompressible Newtonian fluid is contained between two long concentric cylinders of radii ÀR (^< 1) and R, as shown in the figure. The inner cylinder rotates with an angular velocity . Compute the velocity distribution between the cylinders. Also, compute the torque required to hold the outer cylinder stationary. End effects caused by the finite length of the cylinders can be neglected. XR ↑ Axial section. XR Cross-section

Introduction to Chemical Engineering Thermodynamics
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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An incompressible Newtonian fluid is contained between two long concentric
cylinders of radii λR (^< 1) and R, as shown in the figure. The inner cylinder rotates
with an angular velocity . Compute the velocity distribution between the cylinders.
Also, compute the torque required to hold the outer cylinder stationary. End effects
caused by the finite length of the cylinders can be neglected.
r
word
XR ↑
Axial section
$5
Cross-section
Transcribed Image Text:An incompressible Newtonian fluid is contained between two long concentric cylinders of radii λR (^< 1) and R, as shown in the figure. The inner cylinder rotates with an angular velocity . Compute the velocity distribution between the cylinders. Also, compute the torque required to hold the outer cylinder stationary. End effects caused by the finite length of the cylinders can be neglected. r word XR ↑ Axial section $5 Cross-section
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