4–109 Consider fully developed axisymmetric Poiseuille flow-flow in a round pipe of radius R (diameter D = 2R), with a forced pressure gradient dPldx driving the flow as illustrated in Fig. P4–109. (dPldx is constant and negative.) The flow is steady, incompressible, and axisymmetric about the x-axis. The velocity components are given by 1 dP (r² – R²) u, = 0 U, = 0 4µ dx и where u is the fluid's viscosity. Is this flow rotational or irro- tational? If it is rotational, calculate the vorticity component in the circumferential (0) direction and discuss the sign of the rotation

4–109 Consider fully developed axisymmetric Poiseuille flow-flow in a round pipe of radius R (diameter D = 2R), with a forced pressure gradient dPldx driving the flow as illustrated in Fig. P4–109. (dPldx is constant and negative.) The flow is steady, incompressible, and axisymmetric about the x-axis. The velocity components are given by 1 dP (r² – R²) u, = 0 U, = 0 4µ dx и where u is the fluid's viscosity. Is this flow rotational or irro- tational? If it is rotational, calculate the vorticity component in the circumferential (0) direction and discuss the sign of the rotation

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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