(b) The throat and full bore diameters of a venturi meter are 18mm and 55mm, respectively. The centreline of the meter is inclined to the horizontal, the throat section being 0.5m above the full bore section. The pressure at the full bore section is 180kN/m² above that at the throat when the meter is passing 278dm³/min of water. Determine: (i) Theoretical discharge through the meter. (ii) The coefficient of discharge of the meter.
(b) The throat and full bore diameters of a venturi meter are 18mm and 55mm, respectively. The centreline of the meter is inclined to the horizontal, the throat section being 0.5m above the full bore section. The pressure at the full bore section is 180kN/m² above that at the throat when the meter is passing 278dm³/min of water. Determine: (i) Theoretical discharge through the meter. (ii) The coefficient of discharge of the meter.
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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Question
Transcribed Image Text:(b) The throat and full bore diameters of a venturi meter are 18mm and 55mm,
respectively. The centreline of the meter is inclined to the horizontal, the throat
section being 0.5m above the full bore section. The pressure at the full bore section is
180kN/m² above that at the throat when the meter is passing 278dm³/min of water.
Determine:
(i) Theoretical discharge through the meter.
(ii) The coefficient of discharge of the meter.
Expert Solution
Step 1
Given data:
Let us consider suffix 1 and 2 for the full bore and throat section respectively.
● The full bore diameter:
D1 = 55 mm = 0.055 m
● The diameter at the throat:
D2 = 18 mm = 0.018 m
● The elevation of throat above the full bore section:
(Z2 - Z1) = 0.5 m
● The pressure at the full bore section above that of the throat:
P1 = P2 + 180 kN/m3
(P1 - P2) = 180 kN/m3
● The actual discharge of water:
Qact = 278 dm3/min
(Note: 1 dm3 = 10-3 m3 and 1 min = 60 sec)
● The specific weight of the water:
γwater = 9.81 kN/m3
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