Answered: Z4 = 22 m Z = 15 m Dj= 5 cm SAE 30 W…

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

Two oil tanks are connected by two 9-m-long pipes, as
in Fig.. Pipe 1 is 5 cm in diameter and is 6 m
higher than pipe 2. It is found that the flow rate in pipe
2 is twice as large as the flow in pipe 1. (a) What is the
diameter of pipe 2? (b) Are both pipe flows laminar?
(c) What is the flow rate in pipe 2 (m³/s)? Neglect minor
losses.

Z4 = 22 m
Z = 15 m
Dj= 5 cm
SAE
30 W
oil at
D2
20°C
6 m
L= 9 m

Expert Solution

Step 1

Given data

The length of both the pipe is $L = 9 m$

The diameter of the pipe 1 is $D_{1} = 5 c m = 0.05 m$

The flow rate relation in the pipe is $Q_{2} = 2 Q_{1}$

The data for the $S A E 30 W o i l a t 20 ° C$ is as follows:

$ρ = 891 \frac{k g}{m^{3}}$

$μ = 0.29 \frac{k g}{m \cdot s}$

(a)

The relation between the discharge and the pipe diameter is as follows:

$Q \propto D^{4}$

The diameter of the pipe 2 is as follows:

$\begin{array}{rcl} \frac{Q_{2}}{Q_{}} & = & {(\frac{D_{2}}{D_{1}})}^{4} \\ 2 & = & {(\frac{D_{2}}{0.05})}^{4} \\ D_{2} & = & 0.0595 m \\ D_{2} & = & 5.95 c m \end{array}$

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