Determine whether the Bernoulli equation can be applied between different radii for the vortex flow fields (a) V~ 5 ωr eˆθ and (b) V~ 5 eˆθ K=2πr: Consider a two-dimensional fluid flow: u 5 ax + by...

Determine whether the Bernoulli equation can be

applied between different radii for the vortex flow fields

(a) V~ 5 ωr eˆθ and (b) V~ 5 eˆθ K=2πr:

Consider a two-dimensional fluid flow: u 5 ax + by and

v 5 cx + dy, where a, b, c and d are constant. If the flow is

incompressible and irrotational, find the relationships among

a, b, c, and d. Find the stream function and velocity potential

function of this flow.