# Question 11.1: Are the ﬂows represented by the following velocity and densi...

Are the ﬂows represented by the following velocity and density functions physically possible?

**A. ** u = Axy², v = −Ax²y, w = 0, and ρ = Bxy, where A and B are constants

**B. ** v_{r }= U_{∞}(1− R²/r²) cos θ, v_{θ }= −U_{∞}(1+ R²/r²) sin θ, v_{z} = 0, and ρ = Cz + ρ_{0}, where U_{∞}, R, C, and ρ_{0} are constants

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