A shaft of radius R is held concentric within a sleeve of radius R2. If the shaft is stationary while the sleeve moves with an axial velocity of vo. The pressure gradient in the direction of motion is assumed to be zero (i.e., P = 0). Constant viscosity and density are assumed. Inertia and body force terms are neglected. Also, the velocity varies in the r direction only (i.e., v, = f(r)). %3D dz a) Define the appropriate Navier-Stokes equation. b) Determine the velocity (v:). c) Determine the volume flow rate. d) Also, what is the friction force per unit length on the sleeve?

A shaft of radius R is held concentric within a sleeve of radius R2. If the shaft is stationary while the sleeve moves with an axial velocity of vo. The pressure gradient in the direction of motion is assumed to be zero (i.e., P = 0). Constant viscosity and density are assumed. Inertia and body force terms are neglected. Also, the velocity varies in the r direction only (i.e., v, = f(r)). %3D dz a) Define the appropriate Navier-Stokes equation. b) Determine the velocity (v:). c) Determine the volume flow rate. d) Also, what is the friction force per unit length on the sleeve?

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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