F 2 m=Section 1Section 2Direction
of flowF 2 =P 2 A 2P 1 =P 1 A 1V 1 ,P 1 ,A 1V 2 ,P 2 ,A 2P 2
F 1 m
XP 1ααθθF 2 mYYXRV 2 Qw
g Resultant
forceF 1 m=V 1 Qw
gFIGURE 12.12 Forces produced by flow at a pipe bend and change in diameter.314