Imagine a steady, two-dimensional, incompressible flow that is purely radial in the xy- or r-plane. In other

Imagine a steady, two-dimensional, incompressible flow that is purely radial in the xy- or rθ-plane. In other words, velocity component u_r is nonzero, but u_θ is zero everywhere (Fig. P9–36). What is the most general form of velocity component u_r that does not violate conservation of mass?

FIGURE P9–36

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