A viscous fluid is contained between two long concentric cylinders. The geometry of the system is such
Question:
A viscous fluid is contained between two long concentric cylinders. The geometry of the system is such that the flow between the cylinders is approximately the same as the laminar flow between two infinite parallel plates.
(a) Determine an expression for the torque required to rotate the outer cylinder with an angular velocity \(\omega\). The inner cylinder is fixed. Express your answer in terms of the geometry of the system, the viscosity of the fluid, and the angular velocity.
(b) For a small, rectangular element located at the fixed wall, determine an expression for the rate of angular deformation of this element. (See Fig. P6.10.)
Fig. P6.10
Step by Step Answer:
Munson Young And Okiishi's Fundamentals Of Fluid Mechanics
ISBN: 9781119080701
8th Edition
Authors: Philip M. Gerhart, Andrew L. Gerhart, John I. Hochstein