Water flows from the ground floor to the third floor in a 4-storey building through a pipe 50 mm in diameter at a rate of 2 L/s and according to the diagram below.  The water flows out from the system through a tap with an opening diameter of 15 mm. Q1. Calculate the energy loss due to friction as the water flows through the pipe (J/Kg) Q2. Calculate the total energy loss due to friction through the system (J/Kg)  Q3. Calcualte the pressure at point 1 (kN/m2)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Water flows from the ground floor to the third floor in a 4-storey building through a pipe 50 mm in diameter at a rate of 2 L/s and according to the diagram below.  The water flows out from the system through a tap with an opening diameter of 15 mm.

Q1. Calculate the energy loss due to friction as the water flows through the pipe (J/Kg)

Q2. Calculate the total energy loss due to friction through the system (J/Kg) 

Q3. Calcualte the pressure at point 1 (kN/m2)

Friction factor, f
0.1
0.01
0.001
Laminar
1.E+02
1.E+03
I
+
i
i
T
Transition
.
T
i
1.E+04
Moody Diagram
1.E+05
Re
Turbulent
1.E+06
1.E+07
1.E+08
1.E+09
ε/D
-5.00E-02
-4.00E-02
-3.00E-02
-2.50E-02
-2.00E-02
-1.50E-02
-1.00E-02
-8.00E-03
-6.00E-03
-4.00E-03
-3.00E-03
-2.00E-03
-1.50E-03
-1.00E-03
-8.00E-04
-4.00E-04
2.00E-04
-1.00E-04
-5.00E-05
-1.00E-05
Transcribed Image Text:Friction factor, f 0.1 0.01 0.001 Laminar 1.E+02 1.E+03 I + i i T Transition . T i 1.E+04 Moody Diagram 1.E+05 Re Turbulent 1.E+06 1.E+07 1.E+08 1.E+09 ε/D -5.00E-02 -4.00E-02 -3.00E-02 -2.50E-02 -2.00E-02 -1.50E-02 -1.00E-02 -8.00E-03 -6.00E-03 -4.00E-03 -3.00E-03 -2.00E-03 -1.50E-03 -1.00E-03 -8.00E-04 -4.00E-04 2.00E-04 -1.00E-04 -5.00E-05 -1.00E-05
(1)
1.5 m
90⁰
90⁰
1.5 m
3.5 m
1.5 m
Glove valve
90⁰
- density of water, 1 g/cm³
- consider absolute pressure
90⁰
- loss coefficient of 450 elbow, K₁=0.4
- loss coefficient of glove valve, K₁=10
- loss coefficient of tap, KL=2
- dynamic viscosity of water, 1.12x10-3 kg/m.s
2.5 m
3.5 m
45°
4 m
90°
Considering the following additional data and the Moody diagram below:
-pipe is made of plastic with roughness coefficient Ks=0.03 mm
- loss coefficient of 90° elbow, KL=0.9
3.0 m
90⁰
45⁰
2.5 m
3.0 m
1.5 m
Glove valve
Tap
(2)
Transcribed Image Text:(1) 1.5 m 90⁰ 90⁰ 1.5 m 3.5 m 1.5 m Glove valve 90⁰ - density of water, 1 g/cm³ - consider absolute pressure 90⁰ - loss coefficient of 450 elbow, K₁=0.4 - loss coefficient of glove valve, K₁=10 - loss coefficient of tap, KL=2 - dynamic viscosity of water, 1.12x10-3 kg/m.s 2.5 m 3.5 m 45° 4 m 90° Considering the following additional data and the Moody diagram below: -pipe is made of plastic with roughness coefficient Ks=0.03 mm - loss coefficient of 90° elbow, KL=0.9 3.0 m 90⁰ 45⁰ 2.5 m 3.0 m 1.5 m Glove valve Tap (2)
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