Consider a firefighter who is standing on a ladder and spraying water with a hose into Chief Inspector Jacques Clouseau's (Figure 3a) third-story apartment. A diagram of the hose/nozzle used by the firefighter is shown in Figure 3b Assume the nozzle has little effect on the flow in the hose and water in the hose/nozzle is incompressible. The temperature of the water in the hose is 15°C.
Consider a firefighter who is standing on a ladder and spraying water with a hose into Chief Inspector Jacques Clouseau's (Figure 3a) third-story apartment. A diagram of the hose/nozzle used by the firefighter is shown in Figure 3b Assume the nozzle has little effect on the flow in the hose and water in the hose/nozzle is incompressible. The temperature of the water in the hose is 15°C.
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
Related questions
Question
![Questions:
Part 1: Analysis of the flow through the fire hose nozzle (Hint: Use the integral form of the
conservation equations).
(a) Write down the general mass conservation equation for an arbitrary control volume.
(b) Choose an appropriate control volume for the fire hose nozzle and deduce the simplest form of
the steady-state mass conservation equation for the nozzle.
(c) Write down the general momentum conservation equation for an arbitrary control volume.
VCUUIOI
and deduce the simple
(e) Assuming that the flow is inviscid, calculate the gage pressure in the hose. Hint: Consider an
energy conservation equation.
(f) Calculate the force with which the nozzle acts on the water. Show its direction in a simple
schematic of the hose/nozzle system.
Part 2: Analysis of losses in the hose.
(g) What is the Reynolds number of the flow in the hose?
(h) If the relative surface roughness of the hose is 0.01 and the hose is 15 m long, what head loss
must a pump in the fire truck overcome to achieve the described flow rate? Neglect minor losses.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F804ed798-6e60-404c-8668-3a75fe7c55e5%2Fd365ac49-c220-4e06-922a-187a5d27dde0%2Feqaxh63_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Questions:
Part 1: Analysis of the flow through the fire hose nozzle (Hint: Use the integral form of the
conservation equations).
(a) Write down the general mass conservation equation for an arbitrary control volume.
(b) Choose an appropriate control volume for the fire hose nozzle and deduce the simplest form of
the steady-state mass conservation equation for the nozzle.
(c) Write down the general momentum conservation equation for an arbitrary control volume.
VCUUIOI
and deduce the simple
(e) Assuming that the flow is inviscid, calculate the gage pressure in the hose. Hint: Consider an
energy conservation equation.
(f) Calculate the force with which the nozzle acts on the water. Show its direction in a simple
schematic of the hose/nozzle system.
Part 2: Analysis of losses in the hose.
(g) What is the Reynolds number of the flow in the hose?
(h) If the relative surface roughness of the hose is 0.01 and the hose is 15 m long, what head loss
must a pump in the fire truck overcome to achieve the described flow rate? Neglect minor losses.
![PROBLEM 2
Consider a firefighter who is standing on a ladder and spraying water with a hose into Chief Inspector
Jacques Clouseau's (Figure 3a) third-story apartment. A diagram of the hose/nozzle used by the
firefighter is shown in Figure 3b. Assume the nozzle has little effect on the flow in the hose and water
in the hose/nozzle is incompressible. The temperature of the water in the hose is 15 °C.
(a) Chief Inspector Jacques Clouseau
investigating the cause of the fire in his
apartment.
water
hose diameter=10cm
outlet diameter=5cm
Figure 3
个个个
outlet velocity=6ms¹
(b) Fire hose/nozzle used to extinguish the fire in Inspector Clouseau's
apartment.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F804ed798-6e60-404c-8668-3a75fe7c55e5%2Fd365ac49-c220-4e06-922a-187a5d27dde0%2F32dw1c5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:PROBLEM 2
Consider a firefighter who is standing on a ladder and spraying water with a hose into Chief Inspector
Jacques Clouseau's (Figure 3a) third-story apartment. A diagram of the hose/nozzle used by the
firefighter is shown in Figure 3b. Assume the nozzle has little effect on the flow in the hose and water
in the hose/nozzle is incompressible. The temperature of the water in the hose is 15 °C.
(a) Chief Inspector Jacques Clouseau
investigating the cause of the fire in his
apartment.
water
hose diameter=10cm
outlet diameter=5cm
Figure 3
个个个
outlet velocity=6ms¹
(b) Fire hose/nozzle used to extinguish the fire in Inspector Clouseau's
apartment.
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