EBK APPLIED FLUID MECHANICS
7th Edition
ISBN: 8220100668340
Author: UNTENER
Publisher: PEARSON
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Chapter 7, Problem 7.30PP
Water at
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A 15 cm-OD pipe is buried with its centerline 1.25 m below the surface of the ground
[k of soil is 0.35 W/(m K)]. An oil having a density of 800 kg/m³ and a specific heat of 2.1 kJ/(kg
K) flows in the pipe at 5.6 L/s. Assuming a ground surface temperature of 5°C and a pipe wall
temperature of 95°C, estimate the length of pipe in which the oil temperature decreases by
5.5°C.
+
Tε = 5ºC
Z= 1.25 m
D= 15 cm
7p=95°C
Find the solution of the following Differential Equations
1) 4y+y=0,
y(0)=2,
y'(0) = 0.
2) y+y=0,
y(0) = A,
y'(0) = B.
3) "+2y'-8y=0,
y(0)=1,
y'(0)=8.
4) y"-2y-3y=0,
y(0)=1,
y'(0)=7.
5) y"-ky' =0,
y(0)=2,
y'(0) =k.
6) y+ky'-2k2y=0,
y(0)=2,
y'(0) = 2k.
7) y'+4y=0,
y(0)=2.8
y+y-17sin(21)
y(0)=-1.
9) y-y'-6y=0,
y(0)=6.
y'(0)=13.
10) y-y=0,
11) y"-4y+4y=0,
y(0)=4,
y'(0) = 0.
y(0) = 2.1,
y'(0)=3.9
12) y+2y+2y=0,
y(0)=1,
y'(0)=-3.
13)
"+7y+12y=21e",
y(0)=3.5,
y'(0)=-10.
14) "+9y=10e",
y(0)=0.
y'(0) = 0.
15) y+3y+2.25y=91³ +64.
y(0)=1,
y'(0) = 31.5
16) "-6y+5y= 29 cos(21),
y(0)=3.2,
y'(0) = 6.2
17) y+2y+2y=0,
y(0)=0,
y'(0)=1.
18) y+2y+17y=0,
y(0)=0,
y'(0)=12.
19) y-4y+5y=0,
y(0)-1,
y'(0) 2.
20) 9y-6y+y=0.
y(0)=3,
y'(0)=1.
21) -2y+10y=0,
y(0)=3,
y'(0)=3.
22) 4y-4y+37y=0,
(0) 3.
y(0) 1.5
23) 4y-8y+5y=0,
(0)-0,
y(0) 1.
24) y+y+1.25y=0,
y(0) 1.
y'(0) -0.5
25) y+y=2 cos(1).
y(0) 2.
y'(0) = 0.
26) -4y+3y=0,
(0)-3,
y'(0) = 7.
27) y+2y+y=e",
y(0)-0.
y'(0) = 0.
29)
28) y+2y-3y-10sinh(2),…
Chapter 7 Solutions
EBK APPLIED FLUID MECHANICS
Ch. 7 - A horizontal pipe carries oil with a specific...Ch. 7 - Water at 40 F is flowing downward through the...Ch. 7 - Find the volume flow rate of water exiting from...Ch. 7 - A long DN 150 Schedule 40 steel pipe discharges...Ch. 7 - Figure 7.14 shows a setup to determine the energy...Ch. 7 - A test setup to determine the energy loss as water...Ch. 7 - The setup shown in Fig. 7.16 is being used to...Ch. 7 - A pump is being used to transfer water from an...Ch. 7 - In Problem 7.815 (Fig. 7.17), if the left-hand...Ch. 7 - A commercially available sump pump is capable of...
Ch. 7 - A submersible deep-well pump delivers 745 gal/h of...Ch. 7 - In a pump test the suction pressure at the pump...Ch. 7 - The pump shown in Fig. 7.19 is delivering...Ch. 7 - The pump in Fig. 7.20 delivers water from the...Ch. 7 - Repeat Problem 7.14, but assume that the level of...Ch. 7 - Figure 7.21 shows a pump delivering 840L/min of...Ch. 7 - Figure 7.22 shows a submersible pump being used to...Ch. 7 - Figure 7.23 shows a small pump in an automatic...Ch. 7 - The water being pumped in the system shown in Fig....Ch. 7 - A manufacturer's rating for a gear pump states...Ch. 7 - The specifications for an automobile fuel pump...Ch. 7 - Figure 7.26 shows the arrangement of a circuit for...Ch. 7 - Calculate the power delivered to the hydraulic...Ch. 7 - Water flows through the turbine shown in Fig....Ch. 7 - Calculate the power delivered by the oil to the...Ch. 7 - What hp must the pump shown in Fig. 7.30 deliver...Ch. 7 - If the pump in Problem 7.26 operates with an...Ch. 7 - The system shown in Fig. 7.31 delivers 600 L/min...Ch. 7 - Kerosene (sg = 0.823 ) flows at 0.060m3/s in the...Ch. 7 - Water at 60 F flows from a large reservoir through...Ch. 7 - Figure 7.34 shows a portion of a fire protection...Ch. 7 - For the conditions of Problem 7.31 and if we...Ch. 7 - In Fig. 7.35 kerosene at 25 F is flowing at 500...Ch. 7 - For the system shown in Fig. 7.35 and analyzed in...Ch. 7 - Compute the power removed from the fluid by the...Ch. 7 - Compute the pressure at point 2 at the pump inlet.Ch. 7 - Compute the pressure at point 3 at the pump...Ch. 7 - Compute the pressure at point 4 at the press...Ch. 7 - Compute the pressure at point 5 at the press...Ch. 7 - Evaluate the suitability of the sizes for the...Ch. 7 - The portable, pressurized fuel can shown in Fig....Ch. 7 - Professor Crocker is building a cabin on a...Ch. 7 - If Professor Crocker's pump, described in Problem...Ch. 7 - The test setup in Fig. 7.39 measures the pressure...Ch. 7 - If the fluid motor in Problem 7.44 has an...Ch. 7 - A village with a need for a simple irrigation...Ch. 7 - As a member of a development team for a new jet...Ch. 7 - A fire truck utilizes its engine to drive a pump...Ch. 7 - A home has a sump pump to handle ground water from...Ch. 7 - In Problem 6.107 an initial calculation was made...Ch. 7 - A creek runs through a certain part of a campus...Ch. 7 - A hot tub is to have 40 outlets that are each 8 mm...Ch. 7 - A large chipper/shredder is to be designed for use...
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