Chapter 10, Problem 109P

In this chapter, we discuss the line vortex (Fig. 10-109) as an example of an irrotational flow field. The velocity components are $u_r=0,u_{\theta }=\Gamma /\left(2\pi r\right)$ and $u_z=0$ . Compute the viscous term of the $\theta$-component of the Napier-Stokes equation, and discuss. Verify that this velocity field is indee irrotational by computing the z-component of voracity.

FIGURE P10-109