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Engineering and Tech / Fluid Mechanics 2 / Chapter 5 / Problem 91P

Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala

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A fireboat is to fight fires at coastal areas by drawing

Chapter 5, Problem 91P

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QUESTION:

Problem 91P

A fireboat is to fight fires at coastal areas by drawing seawater with a density of 1030 kg/m3 through a 20-cm-diameter pipe at a rate of 0.1 m3/s and discharging it through a hose nozzle with an exit diameter of 5 cm. The total irreversible head loss of the system is 3 m, and the position of the nozzle is 3 m above sea level. For a pump efficiency of 70 percent, determine the required shaft power input to the pump and the water discharge velocity.

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QUESTION:

Problem 91P

A fireboat is to fight fires at coastal areas by drawing seawater with a density of 1030 kg/m3 through a 20-cm-diameter pipe at a rate of 0.1 m3/s and discharging it through a hose nozzle with an exit diameter of 5 cm. The total irreversible head loss of the system is 3 m, and the position of the nozzle is 3 m above sea level. For a pump efficiency of 70 percent, determine the required shaft power input to the pump and the water discharge velocity.

ANSWER:

Solution

Introduction

The water is discharged through the nozzle exit having diameter 5 cm and the total irreversible head loss of the system is 3 m and the nozzle is 3 m above the sea level .

Step 1

The water discharge through the nozzle end the velocity is given by

The area

$v=0.1\ {m}^{3}/s$

$D=0.05\ m\$

$v=50.9626\ m/s$

$v\ \simeq{}50.9\ m/s$

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