Fluid Mechanics, 8 Ed
8th Edition
ISBN: 9789385965494
Author: Frank White
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 6, Problem 6.20P
The oil tanks in Tinyland are only 160 cm high, and they discharge to the Tinyland oil truck through a smooth tube 4 mm in diameter and 55 cm long. The tube exit is open to the atmosphere and 145 cm below the tank surface. The fluid is medium fuel oil,
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Example-1:
l
D
A uniform rotor of length 0.6 m and diameter 0.4 m is made of steel (density 7810 kg/m³)
is supported by identical short bearings of stiffness 1 MN/m in the horizontal and vertical
directions. If the distance between the bearings is 0.7 m, determine the natural frequencies
and plot whirl speed map.
Solution:
B
find the laplace transform for the
flowing function
2(1-e)
Ans. F(s)=-
S
12)
k
0
Ans. F(s)=
k
s(1+e)
0 a
2a 3a 4a
13)
2+
Ans. F(s)=
1
s(1+e")
3
14) f(t)=1, 0
Find the solution of the following Differential Equations
Using Laplace Transforms
1) 4y+2y=0.
y(0)=2.
y'(0)=0.
2) y+w²y=0,
(0)=A,
y'(0)=B.
3) +2y-8y 0.
y(0)=1.
y'(0)-8.
4)-2-3y=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) '+4y=0,
y(0)=2.8
8) y+y=17 sin(21),
y(0)=-1.
9) y-y-6y=0,
y(0)=6,
y'(0)=13.
10) y=0.
y(0)=4,
y' (0)=0.
11) -4y+4y-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) +3y+2.25y=91' +64.
y(0)=1.
y'(0) = 31.5
16)
-6y+5y-29 cos(2t).
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,
(0)-3,
y'(0)=1.
21) -2y+10y=0,
y(0)=3,
y'(0)=3.
22) 4y-4y+37y=0,
y(0)=3.
y'(0)=1.5
23) 4y-8y+5y=0,
y(0)=0,
y'(0)=1.
24)
++1.25y-0,
y(0)=1,
y'(0)=-0.5
25) y 2 cos(r).
y(0)=2.
y'(0) = 0.
26)
-4y+3y-0,
y(0)=3,
y(0) 7.
27) y+2y+y=e
y(0)=0.
y'(0)=0.
28) y+2y-3y=10sinh(27),
y(0)=0.
y'(0)=4.
29)…
Chapter 6 Solutions
Fluid Mechanics, 8 Ed
Ch. 6 - Prob. 6.1PCh. 6 - The present pumping rate of crude oil through the...Ch. 6 - The Keystone Pipeline in the chapter opener photo...Ch. 6 - For flow of SAE 30 oil through a 5-cm-diameter...Ch. 6 - In flow past a body or wall, early transition to...Ch. 6 - P6.6 For flow of a uniform stream parallel to a...Ch. 6 - SAE 10W30 oil at 20°C flows from a tank into a...Ch. 6 - P6.8 When water at 20°C is in steady turbulent...Ch. 6 - A light liquid 950kg/m3 flows at an average...Ch. 6 - Water at 20°C flows through an inclined...
Ch. 6 - Water at 20°C flows upward at 4 m/s in a...Ch. 6 - Prob. 6.12PCh. 6 - Prob. 6.13PCh. 6 - Prob. 6.14PCh. 6 - Prob. 6.15PCh. 6 - Prob. 6.16PCh. 6 - P6.17 A capillary viscometer measures the time...Ch. 6 - P6.18 SAE 50W oil at 20°C flows from one tank to...Ch. 6 - Prob. 6.19PCh. 6 - The oil tanks in Tinyland are only 160 cm high,...Ch. 6 - Prob. 6.21PCh. 6 - Prob. 6.22PCh. 6 - Prob. 6.23PCh. 6 - Prob. 6.24PCh. 6 - Prob. 6.25PCh. 6 - Prob. 6.26PCh. 6 - Let us attack Prob. P6.25 in symbolic fashion,...Ch. 6 - Prob. 6.28PCh. 6 - Prob. 6.29PCh. 6 - Prob. 6.30PCh. 6 - A laminar flow element (LFE) (Meriam Instrument...Ch. 6 - SAE 30 oil at 20°C flows in the 3-cm.diametcr pipe...Ch. 6 - Prob. 6.33PCh. 6 - Prob. 6.34PCh. 6 - In the overlap layer of Fig. 6.9a, turbulent shear...Ch. 6 - Prob. 6.36PCh. 6 - Prob. 6.37PCh. 6 - Prob. 6.38PCh. 6 - Prob. 6.39PCh. 6 - Prob. 6.40PCh. 6 - P6.41 Two reservoirs, which differ in surface...Ch. 6 - Prob. 6.42PCh. 6 - Prob. 6.43PCh. 6 - P6.44 Mercury at 20°C flows through 4 m of...Ch. 6 - P6.45 Oil, SG = 0.88 and v = 4 E-5 m2/s, flows at...Ch. 6 - Prob. 6.46PCh. 6 - Prob. 6.47PCh. 6 - Prob. 6.48PCh. 6 - Prob. 6.49PCh. 6 - Prob. 6.50PCh. 6 - Prob. 6.51PCh. 6 - Prob. 6.52PCh. 6 - Water at 2OC flows by gravity through a smooth...Ch. 6 - A swimming pool W by Y by h deep is to be emptied...Ch. 6 - Prob. 6.55PCh. 6 - Prob. 6.56PCh. 6 - Prob. 6.57PCh. 6 - Prob. 6.58PCh. 6 - P6.59 The following data were obtained for flow of...Ch. 6 - Prob. 6.60PCh. 6 - Prob. 6.61PCh. 6 - Water at 20°C is to be pumped through 2000 ft of...Ch. 6 - Prob. 6.63PCh. 6 - Prob. 6.64PCh. 6 - Prob. 6.65PCh. 6 - Prob. 6.66PCh. 6 - Prob. 6.67PCh. 6 - Prob. 6.68PCh. 6 - P6.69 For Prob. P6.62 suppose the only pump...Ch. 6 - Prob. 6.70PCh. 6 - Prob. 6.71PCh. 6 - Prob. 6.72PCh. 6 - Prob. 6.73PCh. 6 - Prob. 6.74PCh. 6 - Prob. 6.75PCh. 6 - P6.76 The small turbine in Fig. P6.76 extracts 400...Ch. 6 - Prob. 6.77PCh. 6 - Prob. 6.78PCh. 6 - Prob. 6.79PCh. 6 - The head-versus-flow-rate characteristics of a...Ch. 6 - Prob. 6.81PCh. 6 - Prob. 6.82PCh. 6 - Prob. 6.83PCh. 6 - Prob. 6.84PCh. 6 - Prob. 6.85PCh. 6 - SAE 10 oil at 20°C flows at an average velocity of...Ch. 6 - A commercial steel annulus 40 ft long, with a = 1...Ch. 6 - Prob. 6.88PCh. 6 - Prob. 6.89PCh. 6 - Prob. 6.90PCh. 6 - Prob. 6.91PCh. 6 - Prob. 6.92PCh. 6 - Prob. 6.93PCh. 6 - Prob. 6.94PCh. 6 - Prob. 6.95PCh. 6 - Prob. 6.96PCh. 6 - Prob. 6.97PCh. 6 - Prob. 6.98PCh. 6 - Prob. 6.99PCh. 6 - Prob. 6.100PCh. 6 - Prob. 6.101PCh. 6 - *P6.102 A 70 percent efficient pump delivers water...Ch. 6 - Prob. 6.103PCh. 6 - Prob. 6.104PCh. 6 - Prob. 6.105PCh. 6 - Prob. 6.106PCh. 6 - Prob. 6.107PCh. 6 - P6.108 The water pump in Fig. P6.108 maintains a...Ch. 6 - In Fig. P6.109 there are 125 ft of 2-in pipe, 75...Ch. 6 - In Fig. P6.110 the pipe entrance is sharp-edged....Ch. 6 - For the parallel-pipe system of Fig. P6.111, each...Ch. 6 - Prob. 6.112PCh. 6 - Prob. 6.113PCh. 6 - Prob. 6.114PCh. 6 - Prob. 6.115PCh. 6 - Prob. 6.116PCh. 6 - Prob. 6.117PCh. 6 - Prob. 6.118PCh. 6 - Prob. 6.119PCh. 6 - Prob. 6.120PCh. 6 - Prob. 6.121PCh. 6 - Prob. 6.122PCh. 6 - Prob. 6.123PCh. 6 - Prob. 6.124PCh. 6 - Prob. 6.125PCh. 6 - Prob. 6.126PCh. 6 - Prob. 6.127PCh. 6 - In the five-pipe horizontal network of Fig....Ch. 6 - Prob. 6.129PCh. 6 - Prob. 6.130PCh. 6 - Prob. 6.131PCh. 6 - Prob. 6.132PCh. 6 - Prob. 6.133PCh. 6 - Prob. 6.134PCh. 6 - An airplane uses a pitot-static tube as a...Ch. 6 - Prob. 6.136PCh. 6 - Prob. 6.137PCh. 6 - Prob. 6.138PCh. 6 - P6.139 Professor Walter Tunnel needs to measure...Ch. 6 - Prob. 6.140PCh. 6 - Prob. 6.141PCh. 6 - Prob. 6.142PCh. 6 - Prob. 6.143PCh. 6 - Prob. 6.144PCh. 6 - Prob. 6.145PCh. 6 - Prob. 6.146PCh. 6 - Prob. 6.147PCh. 6 - Prob. 6.148PCh. 6 - Prob. 6.149PCh. 6 - Prob. 6.150PCh. 6 - Prob. 6.151PCh. 6 - Prob. 6.152PCh. 6 - Prob. 6.153PCh. 6 - Prob. 6.154PCh. 6 - Prob. 6.155PCh. 6 - Prob. 6.156PCh. 6 - Prob. 6.157PCh. 6 - Prob. 6.158PCh. 6 - Prob. 6.159PCh. 6 - Prob. 6.160PCh. 6 - Prob. 6.161PCh. 6 - Prob. 6.162PCh. 6 - Prob. 6.163PCh. 6 - Prob. 6.1WPCh. 6 - Prob. 6.2WPCh. 6 - Prob. 6.3WPCh. 6 - Prob. 6.4WPCh. 6 - Prob. 6.1FEEPCh. 6 - Prob. 6.2FEEPCh. 6 - Prob. 6.3FEEPCh. 6 - Prob. 6.4FEEPCh. 6 - Prob. 6.5FEEPCh. 6 - Prob. 6.6FEEPCh. 6 - Prob. 6.7FEEPCh. 6 - Prob. 6.8FEEPCh. 6 - Prob. 6.9FEEPCh. 6 - Prob. 6.10FEEPCh. 6 - Prob. 6.11FEEPCh. 6 - Prob. 6.12FEEPCh. 6 - Prob. 6.13FEEPCh. 6 - Prob. 6.14FEEPCh. 6 - Prob. 6.15FEEPCh. 6 - Prob. 6.1CPCh. 6 - Prob. 6.2CPCh. 6 - Prob. 6.3CPCh. 6 - Prob. 6.4CPCh. 6 - Prob. 6.5CPCh. 6 - Prob. 6.6CPCh. 6 - Prob. 6.7CPCh. 6 - Prob. 6.8CPCh. 6 - Prob. 6.9CPCh. 6 - A hydroponic garden uses the 10-m-long...Ch. 6 - It is desired to design a pump-piping system to...
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