$(25\%)$ Conditions for applying Bernoulli equation:

a$.$ Please list the necessary conditions for the Bernoulli's equation to be applied to any two points in the flow, not just along the streamline $(15\%).$

b$.$ Determine whether the Bernoulli equation can be applied between different radii for the following vortex flow fields:

i$.$ vec$(V)=rhat(e{)}_{}(5\%)$

ii$.$ vec$(V)=$hat$(e{)}_{}\frac{K}{2}r(5\%)$