Figure 1 shows an orifice plate. The discharge coefficient and the density of the fluid are Ca and p respectively in their associated Sl units. 1 Flow profile Orifice Plate Vena Contacta Flow www Figure 1 a) Assuming an incompressible fluid flow, use Bernoulli's equation to show that the flow rate through the orifice plate is Q = CaA;A2Vp (A?-A [2 (P, -P2) where p, and p2 are the upstream and downstream pressures, while A, and Az are the cross-sectional areas of the pipe and the orifice respectively. b) An orifice meter with orifice diameter 10 cm is inserted in a pipe of 20 cm diameter. The pressure gauges, fitted upstream and downstream of the orifice meter, give readings of 19.62 Nicm? and 9.81 N/cm? respectively. The co-efficient of discharge for the meter is given as 0.6. Find the flow rate Q of water through the pipe. The density of water is 1000 kg/m³.
Figure 1 shows an orifice plate. The discharge coefficient and the density of the fluid are Ca and p respectively in their associated Sl units. 1 Flow profile Orifice Plate Vena Contacta Flow www Figure 1 a) Assuming an incompressible fluid flow, use Bernoulli's equation to show that the flow rate through the orifice plate is Q = CaA;A2Vp (A?-A [2 (P, -P2) where p, and p2 are the upstream and downstream pressures, while A, and Az are the cross-sectional areas of the pipe and the orifice respectively. b) An orifice meter with orifice diameter 10 cm is inserted in a pipe of 20 cm diameter. The pressure gauges, fitted upstream and downstream of the orifice meter, give readings of 19.62 Nicm? and 9.81 N/cm? respectively. The co-efficient of discharge for the meter is given as 0.6. Find the flow rate Q of water through the pipe. The density of water is 1000 kg/m³.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:Figure 1 shows an orifice plate. The discharge coefficient and the density of the fluid
are Ca and p respectively in their associated Sl units.
1
Flow profile Orifice Plate Vena Contacta
Flow
www
Figure 1
a) Assuming an incompressible fluid flow, use Bernoulli's equation to show that the
flow rate through the orifice plate is
Q = CaA;A2Vp (A?-A
[2 (P, -P2)
where p, and p2 are the upstream and downstream pressures, while A, and Az
are the cross-sectional areas of the pipe and the orifice respectively.
b) An orifice meter with orifice diameter 10 cm is inserted in a pipe of 20 cm
diameter. The pressure gauges, fitted upstream and downstream of the orifice
meter, give readings of 19.62 Nicm? and 9.81 N/cm? respectively. The co-efficient
of discharge for the meter is given as 0.6. Find the flow rate Q of water through
the pipe. The density of water is 1000 kg/m³.
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