By applying the basic equations to a control volume starting at the expansion and ending downstream, analyze flow through a sudden expansion assuming that the inlet pressure \(p_{1}\) acts on the area \(A_{2}\) at the expansion. Develop an expression for and plot the minor head loss across the expansion as a function of area ratio, and compare with the data of Fig. 8.15.

Data From Fig. 8.15.

1.0 0.8 0.6 0.4 0.2 Contraction loss coefficient, K h = Rc V 2 A Contraction Expansion A2 AR = A2/A1 = A2/A1 AR = A/A2 1.0 0 0 0 0.2 0.4 0.6 0.8 1.0 Area ratio, AR 0.8 0.6 0.4 Expansion loss coefficient, K "] h = K ] 0.2