5.118 Water is pumped from the tank shown in Fig. P5.118a. The head loss is known to be 1.2 V2/2g, where Vis the average velocity in the pipe. According to the pump manufacturer, the relationship between the pump head and the flowrate is as shown in Fig. P5.118b: h, 20- 2000 Q², where h, is in meters and Q is in m³/s. Determine the flowrate, Q. Plot the system curve (energy equation) and the pump performance curve (Fig 5.118b) on the same graph. 6 m Pump Figure P5.118a 0.07 m E 20 10 hp = 20-20000² 0.05 Q, m³/s Figure P5.118b 0.10

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Please list any assumptions and answer all parts

5.118 Water is pumped from the tank shown in Fig. P5.118a. The
head loss is known to be 1.2 V²/2g, where Vis the average velocity
in the pipe. According to the pump manufacturer, the relationship
between the pump head and the flowrate is as shown in Fig.
P5.118b: h, 20- 2000 Q², where h, is in meters and Q is in
m³/s. Determine the flowrate, Q.
Plot the system curve (energy equation) and the pump
performance curve (Fig 5.118b) on the same graph.
6 m
Pump
Figure P5.118a
0.07 m
hp, m
20
10
h = 20-20000²
0.05
Q, m³/s
Figure P5.118b
0.10
Transcribed Image Text:5.118 Water is pumped from the tank shown in Fig. P5.118a. The head loss is known to be 1.2 V²/2g, where Vis the average velocity in the pipe. According to the pump manufacturer, the relationship between the pump head and the flowrate is as shown in Fig. P5.118b: h, 20- 2000 Q², where h, is in meters and Q is in m³/s. Determine the flowrate, Q. Plot the system curve (energy equation) and the pump performance curve (Fig 5.118b) on the same graph. 6 m Pump Figure P5.118a 0.07 m hp, m 20 10 h = 20-20000² 0.05 Q, m³/s Figure P5.118b 0.10
Expert Solution
Step 1

Introduction

In this problem, we will calculate the flow rate of water through the pipe by applying the Bernoulli equation. The Bernoulli equation is a mathematical expression used in fluid dynamics to describe the relationship between pressure and velocity in an incompressible flow.

Given data:

the head loss hL=1.2×V2/2gthe height of the tank z2-z1=6 mthe exit pipe diameter d=0.07 mthe pump head and flow rate hp=20-2000 Q2

Determine:

The flow rate Q

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