# Repeat Prob. 996, but let the inner cylinder be stationary and the outer cylinder rotate at angular velocity o

## Question:

Repeat Prob. 9–96, but let the inner cylinder be stationary and the outer cylinder rotate at angular velocity ω_{o}. Generate an exact solution for u_{θ}(r) using the step-by-step procedure discussed in this chapter.

**Data from Problem 96**

An incompressible Newtonian liquid is confined between two concentric circular cylinders of infinite length— a solid inner cylinder of radius R_{i} and a hollow, stationary outer cylinder of radius R_{o} (Fig. P9–96; the z-axis is out of the page). The inner cylinder rotates at angular velocity ω_{i}. The flow is steady, laminar, and two-dimensional in the r_{θ}-plane. The flow is also rotationally symmetric, meaning that nothing is a function of coordinate θ (u_{θ} and P are functions of radius r only). The flow is also circular, meaning that velocity component u_{r} = 0 everywhere. Generate an exact expression for velocity component u_{θ} as a function of radius r and the other parameters in the problem. You may ignore gravity.

**FIGURE P9–96**

## This problem has been solved!

## Step by Step Answer:

**Related Book For**

## Fluid Mechanics Fundamentals And Applications

**ISBN:** 9780073380322

3rd Edition

**Authors:** Yunus Cengel, John Cimbala

**Question Details**

**9**- DIFFERENTIAL ANALYSIS OF FLUID FLOW

**View Solution**

**Cannot find your solution?**