Fluid Mechanics
8th Edition
ISBN: 9780073398273
Author: Frank M. White
Publisher: McGraw-Hill Education
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Chapter 11, Problem 11.10WP
To determine
The dimensionless parameters given for the data and determine the performance and efficiency by comparing with axial-flow pump.
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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),…
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Chapter 11 Solutions
Fluid Mechanics
Ch. 11 - Prob. 11.1PCh. 11 - Prob. 11.2PCh. 11 - Prob. 11.3PCh. 11 - Prob. 11.4PCh. 11 - Pl 1.5 What type of pump is shown in Fig. Pl 1.5?...Ch. 11 - Prob. 11.6PCh. 11 - A piston PDP has a 5-in diameter and a 2-in stroke...Ch. 11 - Pl 1.8 A Bell and Gossett pump at best efficiency,...Ch. 11 - Prob. 11.9PCh. 11 - Prob. 11.10P
Ch. 11 - Prob. 11.11PCh. 11 - Prob. 11.12PCh. 11 - Pl 1.13 A 3.5 hp pump delivers 1140 lbf of...Ch. 11 - Prob. 11.14PCh. 11 - Prob. 11.15PCh. 11 - Prob. 11.16PCh. 11 - Prob. 11.17PCh. 11 - Prob. 11.18PCh. 11 - Pl 1.19 A centrifugal pump has r2 = 9 in, b2 = 2...Ch. 11 - Prob. 11.20PCh. 11 - Prob. 11.21PCh. 11 - Prob. 11.22PCh. 11 - P11.23 When pumping water, (a) at what speed...Ch. 11 - Prob. 11.24PCh. 11 - Prob. 11.25PCh. 11 - Prob. 11.26PCh. 11 - Prob. 11.27PCh. 11 - Prob. 11.28PCh. 11 - Tests by the Byron Jackson Co. of a...Ch. 11 - A pump, geometrically similar to the 12.95-in...Ch. 11 - Prob. 11.31PCh. 11 - Prob. 11.32PCh. 11 - Prob. 11.33PCh. 11 - You are asked to consider a pump geometrically...Ch. 11 - Prob. 11.35PCh. 11 - Prob. 11.36PCh. 11 - Prob. 11.37PCh. 11 - Prob. 11.38PCh. 11 - Prob. 11.39PCh. 11 - Prob. 11.40PCh. 11 - Prob. 11.41PCh. 11 - Prob. 11.42PCh. 11 - The 28-in-diameter pump in Fig. 11.7a at 1170...Ch. 11 - Prob. 11.44PCh. 11 - Prob. 11.45PCh. 11 - Prob. 11.46PCh. 11 - PI 1.47 A pump must be designed to deliver 6 m /s...Ch. 11 - Pl 1.48 Using the data for the pump in Prob. Pl...Ch. 11 - Prob. 11.49PCh. 11 - Prob. 11.50PCh. 11 - Prob. 11.51PCh. 11 - Prob. 11.52PCh. 11 - Prob. 11.53PCh. 11 - Prob. 11.54PCh. 11 - Prob. 11.55PCh. 11 - Prob. 11.56PCh. 11 - Prob. 11.57PCh. 11 - Prob. 11.58PCh. 11 - Suppose it is desired to deliver 700 ftVmin of...Ch. 11 - Prob. 11.60PCh. 11 - Prob. 11.61PCh. 11 - Prob. 11.62PCh. 11 - Pl 1.63 A good curve-fit to the head vs. flow for...Ch. 11 - Prob. 11.64PCh. 11 - *P11.65 An 11.5-in-diameter centrifugal pump,...Ch. 11 - Pl 1.66 It is proposed to run the pump of Prob. Pl...Ch. 11 - Prob. 11.67PCh. 11 - Prob. 11.68PCh. 11 - The pump of Prob. P1138, running at 3500 r/min, is...Ch. 11 - Prob. 11.70PCh. 11 - Prob. 11.71PCh. 11 - Prob. 11.72PCh. 11 - Prob. 11.73PCh. 11 - Prob. 11.74PCh. 11 - Prob. 11.75PCh. 11 - Prob. 11.76PCh. 11 - Prob. 11.77PCh. 11 - Prob. 11.78PCh. 11 - Prob. 11.79PCh. 11 - Determine if either (a) the smallest or (b) the...Ch. 11 - Prob. 11.81PCh. 11 - Prob. 11.82PCh. 11 - Prob. 11.83PCh. 11 - Prob. 11.84PCh. 11 - Prob. 11.85PCh. 11 - Prob. 11.86PCh. 11 - Prob. 11.87PCh. 11 - Prob. 11.88PCh. 11 - A Pelton wheel of 12-ft pitch diameter operates...Ch. 11 - Prob. 11.90PCh. 11 - Prob. 11.91PCh. 11 - Prob. 11.92PCh. 11 - Prob. 11.93PCh. 11 - Prob. 11.94PCh. 11 - Prob. 11.95PCh. 11 - Prob. 11.96PCh. 11 - Prob. 11.97PCh. 11 - Prob. 11.98PCh. 11 - Prob. 11.99PCh. 11 - Prob. 11.100PCh. 11 - Prob. 11.101PCh. 11 - Prob. 11.102PCh. 11 - Prob. 11.103PCh. 11 - Prob. 11.104PCh. 11 - Prob. 11.105PCh. 11 - Prob. 11.106PCh. 11 - Prob. 11.107PCh. 11 - Prob. 11.108PCh. 11 - Prob. 11.1WPCh. 11 - Prob. 11.2WPCh. 11 - Prob. 11.3WPCh. 11 - Prob. 11.4WPCh. 11 - Prob. 11.5WPCh. 11 - Consider a dimensionless pump performance chart...Ch. 11 - Prob. 11.7WPCh. 11 - Prob. 11.8WPCh. 11 - Prob. 11.9WPCh. 11 - Prob. 11.10WPCh. 11 - Prob. 11.1CPCh. 11 - Prob. 11.2CPCh. 11 - Prob. 11.3CPCh. 11 - Prob. 11.4CPCh. 11 - Prob. 11.5CPCh. 11 - Prob. 11.6CPCh. 11 - Prob. 11.7CPCh. 11 - Prob. 11.8CPCh. 11 - Prob. 11.1DP
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