Page 82 - ebook fluid mechanics_finalize

FLUID MECHANICS

b. Inclined Pipe

Example 4.8

M

5 m 5 m

3 m

N
Figure 4.8

A bent pipe labeled MN measures 5 m and 3 m respectively above the datum line. The

2
diameter M and N are both 20 cm and 5 cm. The water pressure is 5 kg/cm . If the velocity
2
at M is 1 m/s, determine the pressure at N in N/m .

Solution to Example 4.8

Using Bernoulli’s Equation:

p v p v
z + M + M = z + N + N …(1)
M
 2 g N  2 g

Discharge at section M = Discharge at section N

Q = Q
M
N
v  A = v  A …(2)
N
M
M
N

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