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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ΜΘ Γ = Ματ Σπι