Answer Happy

There is an infinitely long wall which is separating a domain. A
source (intensity Q) is located in the left domain at a distance
‘a’ from the wall. The pressure at the infinity in the left domain
is P0. The fluid domain in the right domain is stagnant,
and the pressure is equal to P0. Let’s consider this
problem within the framework of potential flow theory.
(1) Show the equation of the pressure distribution along the
left surface of the wall: Equation and graphical display
(2) Show the total force acting on the wall and its
direction.
(3) Show the total force acting on the wall and its direction if
a sink with same magnitude is located instead of the source.
(4) Compare and discuss the results of (2) and (3).
Suggestion: Principle of mirror image] : Consider a flow
field with two identical sources, one at x=-a, and the other on at
x=+a. What is the complex velocity potential of this flow
field?
pressure at infinity: Po source/sink Intensity: Q wall fluid at rest pressure: Po