Chapter 5, Problem 18P

A velocity field in cylindrical coordinates is given as $\stackrel{\to }{V}={\hat{\text{e}}}_{r}A/r+{\hat{\text{e}}}_{\theta }B/r$, where A and B are constants with dimensions of m²/s. Does this represent a possible incompressible flow? Sketch the streamline that passes through the point r₀ = 1 m, θ = 90° if A = B = 1 m/s², if A = 1 m²/s and B = 0, and if B = 1 m²/s and A = 0.