Cross-section 4 A horizontal pipe conveys water between points, which have diameters d1 = 2548 mm and d2 = 2148 mm respectively. At cross-section 1 the average velocity of the water in the pipe is 0.922 m/s and the pressure is 2.943 bar. Assume that energy losses are negligible. f) Find the total flow rate in the system. g) Find the velocity at cross-section 2. h) Find the pressure at cross-section 2. The pipeline branches just beyond cross-section 2 into two pipes of diameter d3 = 1504 mm and d4 = 1504 mm as shown in the figure. 3 The average velocity at cross-section 3 is of the velocity in the main pipeline at cross-section 2. 4

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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flow through pipeline

Cross-section 3
Cross-section 1
dz
Cross-section 2
V3
v1
v2
d1
d2
V4
d4
Cross-section 4
A horizontal pipe conveys water between points, which have diameters d1 = 2548 mm and d2 = 2148 mm respectively.
At cross-section 1 the average velocity of the water in the pipe is 0.922 m/s and the pressure is 2.943 bar.
Assume that energy losses are negligible.
f) Find the total flow rate in the system.
g) Find the velocity at cross-section 2.
h) Find the pressure at cross-section 2.
The pipeline branches just beyond cross-section 2 into two pipes of diameter dg
= 1504 mm and d4 = 1504 mm
shown in the figure.
The average velocity at cross-section 3 is
3
of the velocity in the main pipeline at cross-section 2.
4
i) What is the average velocity of flow at cross-section 4?
Transcribed Image Text:Cross-section 3 Cross-section 1 dz Cross-section 2 V3 v1 v2 d1 d2 V4 d4 Cross-section 4 A horizontal pipe conveys water between points, which have diameters d1 = 2548 mm and d2 = 2148 mm respectively. At cross-section 1 the average velocity of the water in the pipe is 0.922 m/s and the pressure is 2.943 bar. Assume that energy losses are negligible. f) Find the total flow rate in the system. g) Find the velocity at cross-section 2. h) Find the pressure at cross-section 2. The pipeline branches just beyond cross-section 2 into two pipes of diameter dg = 1504 mm and d4 = 1504 mm shown in the figure. The average velocity at cross-section 3 is 3 of the velocity in the main pipeline at cross-section 2. 4 i) What is the average velocity of flow at cross-section 4?
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