Water with density 1000 kg/m³ and viscosity 1.0 x 10-3 kg/(m.s) is flowing at a constant average velocity of 1 m/s through a 5-m long (total length), 5-cm inner diameter smooth plastic pipe system containing two 90° elbows as shown in the schematic. The outlet is 10 m above the inlet. The flow is turbulent and viscid. Determine the pressure drop that occurs in this system (i.e., find P₁-P2; see provided tables and charts on the following page).
Water with density 1000 kg/m³ and viscosity 1.0 x 10-3 kg/(m.s) is flowing at a constant average velocity of 1 m/s through a 5-m long (total length), 5-cm inner diameter smooth plastic pipe system containing two 90° elbows as shown in the schematic. The outlet is 10 m above the inlet. The flow is turbulent and viscid. Determine the pressure drop that occurs in this system (i.e., find P₁-P2; see provided tables and charts on the following page).
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
Related questions
Question
![Friction factor, f
0.035
0.030
0.025
0.020
0.015
0.01
0.009
0.008
0.007
0.006
0.005
0.0045
0.004
0.0035
0.003
0.0025
0.002
0.0015
0,001
1x 10³
f = NRC,
Material
Glass, plastic
Concrete
7/2/5
2 3 4 56789
Fig 6.10
Çengel Table 8.2 Equivalent roughness
values for new commercial pipes*
Roughness, &
Wood stave
Rubber, smoothed
Copper or brass tubing
Cast iron
Galvanized iron
Wrought iron
Stainless steel
Commercial steel
1×10
2 3 4 5 6789
1×105
mm
o (Smooth)
0.9-9
0.5
0.01
0.0015
0.26
0.15
0.046
0.002
0.045
Smooth tubes
2 3 4 5 67 89
1×106
Reynolds number NRe
2 3 4 5 6789
TABLE 6.7
Equivalent lengths and K values for various kinds of fitting [9]
Equivalent length,
L/D, dimensionless
350
170
110
kaasa
1 x 107
20
20
60
D
0.05
0.04
0.03
0.02
0.015
0.01
0.008
0.006
0.004
0.002
0.001
0.0008
0.0006
0.0004
0.0002
0,0001
0.00005
2 3 4 5 6789
Type of fitting
6.3
3.0
Globe valve, wide open
Angle valve, wide open
Gate valve, wide open
Check valve, swing type
90° standard elbow
45° standard elbow
0.13
2.0
0.74
0.3
90° long-radius elbow
0.46
Standard tee, flow-through run
0.4
Standard tee, flow-through branch
1.3
0.04
Coupling
Union
0.04
Data from Lapple, C. E. "Velocity Head Simplifies Flow Computation." Chemical Engineering 56, no. 5, 1949, 96-104.
0.00001
0.000005
0.000001
1x108
Constant, K, in Eq. 6.26,
dimensionless](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe157a84-8ac6-419a-bfda-98f3e9e167bf%2Ff6e33ffd-8086-4d1c-9962-0b9352e86f1b%2Fr5c5e07_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Friction factor, f
0.035
0.030
0.025
0.020
0.015
0.01
0.009
0.008
0.007
0.006
0.005
0.0045
0.004
0.0035
0.003
0.0025
0.002
0.0015
0,001
1x 10³
f = NRC,
Material
Glass, plastic
Concrete
7/2/5
2 3 4 56789
Fig 6.10
Çengel Table 8.2 Equivalent roughness
values for new commercial pipes*
Roughness, &
Wood stave
Rubber, smoothed
Copper or brass tubing
Cast iron
Galvanized iron
Wrought iron
Stainless steel
Commercial steel
1×10
2 3 4 5 6789
1×105
mm
o (Smooth)
0.9-9
0.5
0.01
0.0015
0.26
0.15
0.046
0.002
0.045
Smooth tubes
2 3 4 5 67 89
1×106
Reynolds number NRe
2 3 4 5 6789
TABLE 6.7
Equivalent lengths and K values for various kinds of fitting [9]
Equivalent length,
L/D, dimensionless
350
170
110
kaasa
1 x 107
20
20
60
D
0.05
0.04
0.03
0.02
0.015
0.01
0.008
0.006
0.004
0.002
0.001
0.0008
0.0006
0.0004
0.0002
0,0001
0.00005
2 3 4 5 6789
Type of fitting
6.3
3.0
Globe valve, wide open
Angle valve, wide open
Gate valve, wide open
Check valve, swing type
90° standard elbow
45° standard elbow
0.13
2.0
0.74
0.3
90° long-radius elbow
0.46
Standard tee, flow-through run
0.4
Standard tee, flow-through branch
1.3
0.04
Coupling
Union
0.04
Data from Lapple, C. E. "Velocity Head Simplifies Flow Computation." Chemical Engineering 56, no. 5, 1949, 96-104.
0.00001
0.000005
0.000001
1x108
Constant, K, in Eq. 6.26,
dimensionless
Transcribed Image Text:Water with density 1000 kg/m³ and viscosity 1.0 x 10-3 kg/(m.s) is flowing at a constant average velocity of 1
m/s through a 5-m long (total length), 5-cm inner diameter smooth plastic pipe system containing two 90° elbows as
shown in the schematic. The outlet is 10 m above the inlet. The flow is turbulent and viscid. Determine the pressure
drop that occurs in this system (i.e., find P₁-P2; see provided tables and charts on the following page).
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