# Calculate the nine components of the viscous stress tensor in cylindrical coordinates (see Chap. 9) for the velocity field of

## Question:

Calculate the nine components of the viscous stress tensor in cylindrical coordinates (see Chap. 9) for the velocity field of Prob. 10–110. Discuss.

**Data from Problem 110**

In this chapter, we discuss the line vortex (Fig. P10–110) as an example of an irrotational flow field. The velocity components are u_{r} = 0, u_{θ} = Γ/(2πr), and u_{z} = 0. Compute the viscous term of the u-component of the Navier–Stokes equation, and discuss. Verify that this velocity field is indeed irrotational by computing the z-component of vorticity.

**FIGURE P10–110**

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**Related Book For**

## Fluid Mechanics Fundamentals And Applications

**ISBN:** 9780073380322

3rd Edition

**Authors:** Yunus Cengel, John Cimbala

**Question Details**

Chapter #

**10**- APPROXIMATE SOLUTIONS OF THE NAVIER–STOKES EQUATIONSection: Problems

Problem: 111

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