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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
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
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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: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
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).
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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