Water flowing through a large number of long, circular, thin-walled tubes is heated by means of ho parallel plates above and below the tube array. The space between the plates is evacuated, and the plate and tube surfaces may be approximated as blackbodies. (a) Neglecting axial variations, determine the tube surface temperature, T s , if water flows through each tube at a mass rate of m ˙ = 0.20 kg/s and a mean temperature of T m = 300 K . (b) Compute and plot the surface temperature as a function of flow rate for 0.05 ≤ m ˙ ≤ 0.25 kg/s .
Water flowing through a large number of long, circular, thin-walled tubes is heated by means of ho parallel plates above and below the tube array. The space between the plates is evacuated, and the plate and tube surfaces may be approximated as blackbodies. (a) Neglecting axial variations, determine the tube surface temperature, T s , if water flows through each tube at a mass rate of m ˙ = 0.20 kg/s and a mean temperature of T m = 300 K . (b) Compute and plot the surface temperature as a function of flow rate for 0.05 ≤ m ˙ ≤ 0.25 kg/s .
Solution Summary: The author calculates the tube surface temperature if the water flows through each tube. The view factor by reciprocity theorem is calculated.
Water flowing through a large number of long, circular, thin-walled tubes is heated by means of ho parallel plates above and below the tube array. The space between the plates is evacuated, and the plate and tube surfaces may be approximated as blackbodies.
(a) Neglecting axial variations, determine the tube surface temperature, Ts, if water flows through each tube at a mass rate of
m
˙
=
0.20
kg/s
and a mean temperature of
T
m
=
300
K
. (b) Compute and plot the surface temperature as a function of flow rate for
0.05
≤
m
˙
≤
0.25
kg/s
.
A crate weighs 530 lb and is hung by three ropes attached to
a steel ring at A such that the top surface is parallel to the
xy plane. Point A is located at a height of h = 42 in above
the top of the crate directly over the geometric center of the
top surface. Use the dimensions given in the table below to
determine the tension in each of the three ropes.
2013 Michael Swanbom
cc00
BY NC SA
↑ Z
C
b
B
У
a
D
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
a
30 in
b
43 in
4.5 in
The tension in rope AB is 383
x lb
The tension in rope AC is 156
x lb
The tension in rope AD is 156
x lb
A block of mass m hangs from the end of bar AB that is 7.2
meters long and connected to the wall in the xz plane. The
bar is supported at A by a ball joint such that it carries only a
compressive force along its axis. The bar is supported at end
B by cables BD and BC that connect to the xz plane at
points C and D respectively with coordinates given in the
figure. Cable BD is elastic and can be modeled as a linear
spring with a spring constant k = 400 N/m and unstretched
length of 6.34 meters.
Determine the mass m, the compressive force in beam AB
and the tension force in cable BC.
Z
C
D
(c, 0, d)
(a, 0, b)
A
B
y
f
m
cc 10
BY
NC SA
2016 Eric Davishahl
x
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
a
8.1 m
b
3.3 m
с
2.7 m
d
3.9 m
e
2 m
f
5.4 m
The mass of the block is 68.8
The compressive force in bar AB is
364
× kg.
× N.
The tension in cable BC is 393
× N.
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