5(a) Water at 10°C (p = 999.7 kg/m³ and μ =1.307 x 10-³ Pa-s ) is flowing steadily in a 0.20-cm-diameter, 15-m-long pipe at an average velocity of 1.2 m/s. Determine (i) the pressure drop,(ii) the head loss, and (iii) the pumping power requirement to overcome this pressure drop.(b) If the average water velocity is increased to 2.4 m/s in the same pipe then compare thepumping power requirement.Given that64Re D—=5×10-5; APL = F/P1²LpV²fD 2f = ;Note: Use Moody's Chart/diagram if required (next page) Friction Factor0.10.090.080.070.060.050.040.030.020.0150.01Laminar Flow64ReMaterialConcrete, coarseConcrete, new smooth0.250.0250.00250.00250.153.00.10.5Steel, structural or forged 0.025Water mains, old1.0Drawn tubingGlass Plastic PerspexIron, castSewers,oldSteel, mortar linedSteel, rusted10ε (mm)10Moody DiagramTransition RegionComplete turbulence2dFriction Factor PPV²1²10³10°pVdReynolds Number, Re= "=Smooth Pipe10'0.050.040.030.020.0150.010.0050.0020.0015x10-42x10-10-45x10Relative Pipe Roughness à10-55x10-610-6

5 (a) Water at 10°C (p = 999.7 kg/m³ and μ =1.307 x 10-3 Pa-s ) is flowing steadily in a 0.20-cm- diameter, 15-m-long pipe at an average velocity of 1.2 m/s. Determine (i) the pressure drop, (ii) the head loss, and (iii) the pumping power requirement to overcome this pressure drop.

5 (a) Water at 10°C (p = 999.7 kg/m³ and μ =1.307 x 10-3 Pa-s ) is flowing steadily in a 0.20-cm- diameter, 15-m-long pipe at an average velocity of 1.2 m/s. Determine (i) the pressure drop, (ii) the head loss, and (iii) the pumping power requirement to overcome this pressure drop.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Pressurized pipe flow

A 15-kilometer-long pipe with a pipe diameter of one meter transports water at a speed of one meter per second. The pipe has a friction coefficient of 0.005. Calculate the frictional head loss?

Question

5
(a) Water at 10°C (p = 999.7 kg/m³ and μ =1.307 x 10-³ Pa-s ) is flowing steadily in a 0.20-cm-
diameter, 15-m-long pipe at an average velocity of 1.2 m/s. Determine (i) the pressure drop,
(ii) the head loss, and (iii) the pumping power requirement to overcome this pressure drop.
(b) If the average water velocity is increased to 2.4 m/s in the same pipe then compare the
pumping power requirement.
Given that
64
Re D
—=5×10-5; APL = F/P1²
LpV²
f
D 2
f = ;
Note: Use Moody's Chart/diagram if required (next page)

Friction Factor
0.1
0.09
0.08
0.07
0.06
0.05
0.04
0.03
0.02
0.015
0.01
Laminar Flow
64
Re
Material
Concrete, coarse
Concrete, new smooth
0.25
0.025
0.0025
0.0025
0.15
3.0
0.1
0.5
Steel, structural or forged 0.025
Water mains, old
1.0
Drawn tubing
Glass Plastic Perspex
Iron, cast
Sewers,old
Steel, mortar lined
Steel, rusted
10
ε (mm)
10
Moody Diagram
Transition Region
Complete turbulence
2d
Friction Factor P
PV²1²
10³
10°
pVd
Reynolds Number, Re= "
=
Smooth Pipe
10'
0.05
0.04
0.03
0.02
0.015
0.01
0.005
0.002
0.001
5x10-4
2x10-
10-4
5x10
Relative Pipe Roughness à
10-5
5x10-6
10-6

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Step 2: i.) Determining pressure Drop.

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Step 3: ii.) Determining head loss.

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Step 4: iii.) Determining pumping power.

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Water at 15°C (? = 999.1 kg/m3 and ? = 1.138 × 10−3 kg/m·s) is flowing steadily in a 30-m-long and 6-cm-diameter horizontal pipe made of stainless steel at a rate of 10 L/s. Determine (a) the pressure drop, (b) the head loss, and (c) the pumping power requirement to overcome this pressure drop.