Fundamentals of Heat and Mass Transfer
7th Edition
ISBN: 9780470501979
Author: Frank P. Incropera, David P. DeWitt, Theodore L. Bergman, Adrienne S. Lavine
Publisher: Wiley, John & Sons, Incorporated
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Chapter 11, Problem 11.84P
(a)
To determine
Rate of heat transfer
(b)
To determine
The fluid outlet temperatures
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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
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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 11 Solutions
Fundamentals of Heat and Mass Transfer
Ch. 11 - In a fire-tube boiler, hot products of combustion...Ch. 11 - A shell-and-tube heat exchanger is to heat an...Ch. 11 - A steel tube (k=50W/mK) of inner and outer...Ch. 11 - A heat recovery device involves transferring...Ch. 11 - A novel design for a condenser consists of a tube...Ch. 11 - The condenser of a steam power plant...Ch. 11 - Thin-walled aluminum tubes of diameter D = 10mmare...Ch. 11 - A tinned-tube, cross-how heat exchanger is to use...Ch. 11 - Water at a rate of 45,500kg/h is heated from 80...Ch. 11 - A novel heat exchanger concept consists of a...
Ch. 11 - Prob. 11.12PCh. 11 - A process fluid having a specific heat of...Ch. 11 - A shell-and-tube exchanger (two shells, four tube...Ch. 11 - Consider the heat exchanger of Problem 11.14....Ch. 11 - The hot and cold inlet temperatures to a...Ch. 11 - A concentric tube heat exchanger of length L = 2 m...Ch. 11 - A counterflow, concentric tube heat exchanger is...Ch. 11 - Consider a concentric tube heat exchanger with an...Ch. 11 - A shell-and-tube heat exchanger must be designed...Ch. 11 - A concentric tube heat exchanger for cooling...Ch. 11 - A counterflow, concentric tube heat exchanger used...Ch. 11 - An automobile radiator may be viewed as a...Ch. 11 - Hot air for a large-scale drying operation is to...Ch. 11 - In a dairy operation, milk at a flow rate of 250...Ch. 11 - The compartment heater of an automobile...Ch. 11 - A counterflow, twin-tube heat exchanger is made...Ch. 11 - Consider a coupled shell-in-tube heat exchange...Ch. 11 - For health reasons, public spaces require the...Ch. 11 - A shell-and-tube heat exchanger (1 shell pass, 2...Ch. 11 - Saturated water vapor leaves a steam turbine at a...Ch. 11 - The human brain is especially sensitive to...Ch. 11 - Prob. 11.47PCh. 11 - A plate-tin heat exchanger is used to condense a...Ch. 11 - In a supercomputer, signal propagation delays...Ch. 11 - Untapped geothermal sites in the United States...Ch. 11 - A shell-and-tube heat exchanger consists of 135...Ch. 11 - An ocean thermal energy conversion system is...Ch. 11 - Prob. 11.55PCh. 11 - Prob. 11.56PCh. 11 - The chief engineer at a university that is...Ch. 11 - A shell-and-tube heat exchanger with one shell...Ch. 11 - Prob. 11.59PCh. 11 - Prob. 11.60PCh. 11 - Prob. 11.61PCh. 11 - Prob. 11.62PCh. 11 - A recuperator is a heat exchanger that heats air...Ch. 11 - Prob. 11.64PCh. 11 - Prob. 11.65PCh. 11 - A cross-flow heat exchanger consists of a bundle...Ch. 11 - Exhaust gas from a furnace is used to preheat the...Ch. 11 - Prob. 11.68PCh. 11 - A liquefied natural gas (LNG) regasification...Ch. 11 - Prob. 11.70PCh. 11 - A shell-and-tube heat exchanger consisting of...Ch. 11 - Prob. 11.73PCh. 11 - The power needed to overcome wind and friction...Ch. 11 - Prob. 11.75PCh. 11 - Consider a Rankine cycle with saturated steam...Ch. 11 - Consider the Rankine cycle of Problem 11.77,...Ch. 11 - Prob. 11.79PCh. 11 - Prob. 11.80PCh. 11 - Hot exhaust gases are used in a...Ch. 11 - Prob. 11.84PCh. 11 - Prob. 11.90PCh. 11 - Prob. 11S.1PCh. 11 - Prob. 11S.2PCh. 11 - Prob. 11S.3PCh. 11 - Solve Problem 11.15 using the LMTD method.Ch. 11 - Prob. 11S.5PCh. 11 - Prob. 11S.6PCh. 11 - Prob. 11S.8PCh. 11 - Prob. 11S.10PCh. 11 - Prob. 11S.11PCh. 11 - A cooling coil consists of a bank of aluminum...Ch. 11 - Prob. 11S.17P
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