Water at 15°C is drained from a large reservoir using two horizontal plastic pipesconnected in series (Figure 2). The first pipe is 13 m long and has a 10 cm diameter, whilethe second pipe is 35 m long and has a 5 cm diameter. The volumetric flow rate of waterat the pipe exit is 0.06 m³/s. The water level in the reservoir is 18 m above the centerlineof the pipe. The pipe entrance is sharp-edged, and the contraction between the two pipesis sudden. Neglecting the effect of the kinetic energy correction factor, determinea) pressure at the bottom of the water tank,b) pressure drop across the pipe line,c) velocities in the pipes,d) total friction loss in the pipe line by calculating all the friction loss terms in the pipes.Data: The density and dynamic viscosity of water at 15°C are p=999.1 kg/m³ andu=1.138×103 kg/m-s, respectively. The loss coefficient is KĻ = 0.5 for a sharp-edgedentrance, and it is 0.46 for the sudden contraction. The pipes are made of plastic and thusthey are smooth, ɛ = 0.Water18 mtank13 m35 mFigure 2.Material of construction Equivalent roughness for new pipes, e0.5(m)Drawn tubingCommercial steelWrought ironAsphalted cast ironGalvanised ironCast ironWood stoveConcreteRiveted steel44X 104.6 X12x 102.6 x 101.8X 10 toX 100.10.0scriticalregionrelativeroughnesse/Dturbulent flow-0.04-0.02-0.010.010.00s--0.002--0.001-0.000s-0.0001-laminar flow0.0052smooth pipe0.0011010Dup10102107Reynolds number, NR.Figure 3.Fanning friction factor,

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Water at 15°C is drained from a large reservoir using two horizontal plastic pipes connected in series (Figure 2). The first pipe is 13 m long and has a 10 cm diameter, while the second pipe is 35 m long and has a 5 cm diameter. The volumetric flow rate of water at the pipe exit is 0.06 m³/s. The water level in the reservoir is 18 m above the centerline of the pipe. The pipe entrance is sharp-edged, and the contraction between the two pipes is sudden. Neglecting the effect of the kinetic energy correction factor, determine a) pressure at the bottom of the water tank, b) pressure drop across the pipe line, c) velocities in the pipes,

Water at 15°C is drained from a large reservoir using two horizontal plastic pipes connected in series (Figure 2). The first pipe is 13 m long and has a 10 cm diameter, while the second pipe is 35 m long and has a 5 cm diameter. The volumetric flow rate of water at the pipe exit is 0.06 m³/s. The water level in the reservoir is 18 m above the centerline of the pipe. The pipe entrance is sharp-edged, and the contraction between the two pipes is sudden. Neglecting the effect of the kinetic energy correction factor, determine a) pressure at the bottom of the water tank, b) pressure drop across the pipe line, c) velocities in the pipes,

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

Water at 15°C is drained from a large reservoir using two horizontal plastic pipes
connected in series (Figure 2). The first pipe is 13 m long and has a 10 cm diameter, while
the second pipe is 35 m long and has a 5 cm diameter. The volumetric flow rate of water
at the pipe exit is 0.06 m³/s. The water level in the reservoir is 18 m above the centerline
of the pipe. The pipe entrance is sharp-edged, and the contraction between the two pipes
is sudden. Neglecting the effect of the kinetic energy correction factor, determine
a) pressure at the bottom of the water tank,
b) pressure drop across the pipe line,
c) velocities in the pipes,
d) total friction loss in the pipe line by calculating all the friction loss terms in the pipes.
Data: The density and dynamic viscosity of water at 15°C are p=999.1 kg/m³ and
u=1.138×103 kg/m-s, respectively. The loss coefficient is KĻ = 0.5 for a sharp-edged
entrance, and it is 0.46 for the sudden contraction. The pipes are made of plastic and thus
they are smooth, ɛ = 0.
Water
18 m
tank
13 m
35 m
Figure 2.
Material of construction Equivalent roughness for new pipes, e
0.5
(m)
Drawn tubing
Commercial steel
Wrought iron
Asphalted cast iron
Galvanised iron
Cast iron
Wood stove
Concrete
Riveted steel
44X 10
4.6 X
12x 10
2.6 x 10
1.8X 10 toX 10
0.1
0.0s
critical
region
relative
roughness
e/D
turbulent flow
-0.04
-0.02-
0.01
0.01
0.00s-
-0.002-
-0.001-
0.000s
-0.0001-
laminar flow
0.005
2
smooth pipe
0.001
10
10
Dup
10
102
107
Reynolds number, NR.
Figure 3.
Fanning friction factor,

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