$($a$)$ With neat sketch, derive an expression for minor loss due to sudden enlargement. Also

comment on the value of loss coefficient in case of no area change and discharge into

reservoir from the expression.

$($b$)$ A fluid jet strikes at the center of a symmetrical moving smooth curved vane. Find an

expression for the efficiency of the vane. What will be the efficiency if the vane is a semicircle

and the velocity of the jet is three times the velocity of the vane?

Please solve both of the problem in detail $,$i badly need its solution $.$I need the proofs in

detail, sometimes some chegg experts deliver only the processes in a very short way which

is very difficult to understand, so i kindly request you to write all the steps and calculations

and to draw all the necessary figures. I request you again not to skip any step.