Please list any assumptions and answer all parts 5.118 Water is pumped from the tank shown in Fig. P5.118a. Thehead loss is known to be 1.2 V²/2g, where Vis the average velocityin the pipe. According to the pump manufacturer, the relationshipbetween 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 inm³/s. Determine the flowrate, Q.Plot the system curve (energy equation) and the pumpperformance curve (Fig 5.118b) on the same graph.6 mPumpFigure P5.118a0.07 mhp, m2010h = 20-20000²0.05Q, m³/sFigure P5.118b0.10

Answered: 5.118 Water is pumped from the tank…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

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

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:

$\begin{array}{rcl} the head loss {(h)}_{L} & = & 1.2 \times V^{2} / 2 g \\ the height of the tank (z_{2} - z_{1}) & = & 6 m \\ the exit pipe diameter (d) & = & 0.07 m \\ the pump head and flow rate {(h)}_{p} & = & 20 - 2000 Q^{2} \end{array}$

Determine:

The flow rate $(Q)$

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