A sink of strength m=100 m² /s located at the origin of the coordinate system is combined with a uniform horizontal stream (in x-direction) of velocity 10 m/s.
a) Determine the stream function, ψ, for the combined flow in terms of r and θ. Use the individual stream functions that form this flow.
b) Use the stream function to determine the radial, vᵣ, and tangential, vθ, velocities of the combined flow in terms of r and θ.
c) Determine the location of the stagnation point. Show work.