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TagsViscosity Gases Momentum Thermal Conduction Heat Capacity
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Total Pages492
Table of Contents
                            p1.2-11.pdf
S1.1-1.pdf
S1.1-2.pdf
S1.1-3.pdf
s1.2-1.pdf
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S1.2-11.pdf
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S1-1.pdf
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s1-11.pdf
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Document Text Contents
Page 1

Problem P1.2-11 (1-4 in text)
Figure P1.2-11(a) illustrates a composite wall. The wall is composed of two materials (A with kA
= 1 W/m-K and B with kB = 5 W/m-K), each has thickness L = 1.0 cm. The surface of the wall at
x = 0 is perfectly insulated. A very thin heater is placed between the insulation and material A;
the heating element provides 25000 W/mq′′ = of heat. The surface of the wall at x = 2L is
exposed to fluid at Tf,in = 300 K with heat transfer coefficient inh = 100 W/m

2-K.

L = 1 cm

L = 1 cm

x

25000 W/mq′′ =

insulated

material A
kA = 1 W/m-K

material B
kB = 5 W/m-K

,
2

300 K
100 W/m -K

f in

in

T
h

=
=


Figure P1.2-11(a): Composite wall with a heater.


You may neglect radiation and contact resistance for parts (a) through (c) of this problem.
a.) Draw a resistance network to represent this problem; clearly indicate what each resistance

represents and calculate the value of each resistance.

The input parameters are entered in EES:

“P1.2-11: Heater"
$UnitSystem SI MASS RAD PA K J
$TABSTOPS 0.2 0.4 0.6 0.8 3.5 in

"Inputs"
q_flux=100 [W/m^2] "heat flux provided by the heater"
L = 1.0 [cm]*convert(cm,m) "thickness of each layer"
k_A=1.0 [W/m-K] "conductivity of material A"
k_B=5.0 [W/m-K] "conductivity of material B"

Page 247

Problem 1.7-1: Furnace Manipulator Arm
You are designing a manipulator for use within a furnace. The arm must penetrate the side of the
furnace, as shown in Figure P1.7-1. The arm has a diameter of D = 0.8 cm and protrudes Li = 0.5
m into the furnace, terminating in the actuator that can be assumed to be adiabatic. The portion
of the arm in the manipulator is exposed to flame and hot gas; these effects can be represented by
a heat flux of 4 21x10 W/mq′′ = and convection to gas at Tf = 500°C with heat transfer coefficient

fh = 50 W/m
2-K. The conductivity of the arm material is k = 150 W/m-K. The arm outside of

the furnace has the same diameter and conductivity, but is exposed to air at Ta = 20°C with heat
transfer coefficient ah = 30 W/m

2-K. The length of the arm outside of the furnace is Lo = 0.75 m
and this portion of the arm terminates in the motor system which can also be considered to be
adiabatic.



x

4 21x10 W/mradq′′ =

D = 0.8 cm

Lo = 0.75 m

Li = 0.5 m
230 W/m -K

20 C
a

a

h
T

=
= °

250 W/m -K
500 C

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