A device that recovers heat from high-temperature combustion products involves passing the combustion gas between parallel plates, each of which is maintained at 35 0 K by water flow on the opposite surface. The plate separation is 4 0 mm , and the gas flow is fully developed. The gas may be assumed to have the properties of atmospheric air, and its mean temperature and velocity are 1 000 K and 6 0 m / s . respectively. (a) What is the heat flux at the plate surface? (b) If a third plate, 2 0 mm thick, is suspended midway between the original plates, what is the surface heat flux for the original plates? Assume the temperature and flow rate of the gas w be unchanged and radiation effects to be negligible.
A device that recovers heat from high-temperature combustion products involves passing the combustion gas between parallel plates, each of which is maintained at 35 0 K by water flow on the opposite surface. The plate separation is 4 0 mm , and the gas flow is fully developed. The gas may be assumed to have the properties of atmospheric air, and its mean temperature and velocity are 1 000 K and 6 0 m / s . respectively. (a) What is the heat flux at the plate surface? (b) If a third plate, 2 0 mm thick, is suspended midway between the original plates, what is the surface heat flux for the original plates? Assume the temperature and flow rate of the gas w be unchanged and radiation effects to be negligible.
Solution Summary: The author explains the heat flux at plate surface. The mean temperature of the air is 1000 K, and the dynamic viscosity is 424.2.
A device that recovers heat from high-temperature combustion products involves passing the combustion gas between parallel plates, each of which is maintained at
35
0
K
by water flow on the opposite surface. The plate separation is
4
0
mm
, and the gas flow is fully developed. The gas may be assumed to have the properties of atmospheric air, and its mean temperature and velocity are
1
000
K
and
6
0
m
/
s
. respectively.
(a) What is the heat flux at the plate surface?
(b) If a third plate,
2
0
mm
thick, is suspended midway between the original plates, what is the surface heat flux for the original plates? Assume the temperature and flow rate of the gas w be unchanged and radiation effects to be negligible.
PROBLEM 3.23
3.23 Under normal operating condi-
tions a motor exerts a torque of
magnitude TF at F. The shafts
are made of a steel for which
the allowable shearing stress is
82 MPa and have diameters of
dCDE=24 mm and dFGH = 20
mm. Knowing that rp = 165
mm and rg114 mm, deter-
mine the largest torque TF
which may be exerted at F.
TF
F
rG-
rp
B
CH
TE
E
1. (16%) (a) If a ductile material fails under pure torsion, please explain the failure
mode and describe the observed plane of failure.
(b) Suppose a prismatic beam is subjected to equal and opposite couples as shown
in Fig. 1. Please sketch the deformation and the stress distribution of the cross
section.
M
M
Fig. 1
(c) Describe the definition of the neutral axis.
(d) Describe the definition of the modular ratio.
using the theorem of three moments, find all the moments, I only need concise calculations with minimal explanations. The correct answers are provided at the bottom
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