F 2 m=
Section 1
Section 2
Direction
of flow
F 2 =P 2 A 2
P 1 =P 1 A 1
V 1 ,P 1 ,A 1
V 2 ,P 2 ,A 2
P 2
F 1 m
X
P 1
α
α
θ
θ
F 2 m
Y
Y
X
R
V 2 Qw
g Resultant
force
F 1 m=
V 1 Qw
g
FIGURE 12.12 Forces produced by flow at a pipe bend and change in diameter.
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