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

Question:

Calculate the nine components of the viscous stress tensor in cylindrical coordinates (see Chap. 9) for the velocity field of Prob. 10–108. Discuss your results.

Data from Problem 108

In this chapter, we discuss solid body rotation (Fig. P10–108) as an example of an inviscid flow that is also rotational. The velocity components are ur = 0, u_θ = ωr, and u_z = 0. Compute the viscous term of the θ-component of the Navier–Stokes equation, and discuss. Verify that this velocity field is indeed rotational by computing the z-component of vorticity.

FIGURE P10–108