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

Transcribed Image Text:

ΜΘ Γ = Ματ Σπι