Consider the steady flow of a liquid through an elbow-shaped converging axisymmetric pipe joint with an inlet area A₁ and outlet area A₂. The volumetric flow rate is ṁ. The elbow angle is 30 degrees in a vertical plane. Assume that the flow is inside the pipe one-dimensional.

Use the continuity and momentum equations to set up the procedure to find the resultant force on the pipe. Note: You do not have to find the force; just show how to use and set up the relevant equations.