Water flows through a venturi meter. At the constricted section where the area is 24 cm³, the pressure is 10.2 N/cm², and at the section where the area is 64 cm², the pressure is 18.0 N/cm². Determine the velocities of water in the larger and smaller pipes and the rate of flow.
The factors that are to be considered are the differential head and the density of fluid that is constant. The pipe is assumed to frictionless.
A1 = 24 cm , V1 = ? , P1 = 10.2 N/cm²
A2= 64 cm , V2 = ? , P2= 18.0 N/cm²
Flow rate formula for equation
A1VI= A2V2
V1 = = equation 1
V1=
From Bernoulli's equation
Energy is conserved that is
p1+
Substituting V1 from equation 1into equation 2
0.5
Solving for V2
V2= 3.0594 cm/s
Then V1 =
V1 = 8.1584 cm/s , V2 = 3.0594 cm/s
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