Question
In: Mechanical Engineering
A rod of diameter D = 25 mm and thermal conductivity of 60 W/m·K protrudes from...
A rod of diameter D = 25 mm and thermal conductivity of 60 W/m·K protrudes from a furnace with a wall temperature of 200ºC. The rod is welded to the furnace wall and is used as a hangar for instrumentation cables. To avoid damaging the cables, the surface temperature of last 100 mm of the rod must be kept below 100ºC. The ambient air temperature is 25ºC and the convection coefficient is 15 W/m2K. (a) Write the finite-difference equation for an internal node with ?x = 2 mm. (b) Write the finite difference equation for the node at the fin tip.
Solutions
samet mamat answered 2 years agoRelated Solutions
A pipe of outside diameter 200 mm is lagged with an insulating material of thermal conductivity...
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material
of thermal conductivity 0.06 W m–1 K–1 and thickness 75 mm. The
pipe
carries a process fluid at a temperature of 300 °C and the
average
temperature of the outer surface of the lagging is 45 °C.
(a) Estimate the rate of heat loss per metre length of pipe.
(b) Explain why the thermal resistance of the pipe wall can be
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4. A pipe carrying superheated...
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3. A stainless steel sphere of thermal conductivity 16 W/m · K with a diameter of...
3. A stainless steel sphere of thermal conductivity 16 W/m · K
with a diameter of 4 cm is exposed to a convective environment of
15 W/m2 · K, 20?C. Heat is generated uniformly in the sphere at a
rate of 1.0 MW/m3 . Determine the steady-state temperature of the
sphere at its center and its surface. Also determine the heat flux
at a radius of 1.5 cm.
Consider a large plate of thickness 50 mm and thermal conductivity of k= 69 W/m.C in...
Consider a large plate of thickness 50 mm and
thermal conductivity of k= 69 W/m.C in
which heat is generated uniformly at a constant rate of 600
kW/m3. One side of the plate is insulated while
the other side is subjected to convection to the environment at
30oC with a heat transfer coefficient
of h= 94 W/m^2.C. considering six equal
spaced nodes with a nodal spacing of 10 mm:
(a) obtain the Finite Difference
formulation of this problem,
(b) determine...
Question 2 2.1 A brass rod of 25 mm in diameter is enclosed in a steel...
Question 2
2.1 A brass rod of 25 mm in
diameter is enclosed in a steel tube. The tube is 10 mm thick with
an outside diameter of 50 mm. The bar and the tube are initially 1
m long and are rigidly fastened together at each end. Calculate the
stresses in the two materials when the temperature is raised by 80
0C.
2.2 If the composite bar is
then subjected to an axial tensile load of 60 kN, find...
Question 2 2.1 A brass rod of 25 mm in diameter is enclosed in a steel...
Question 2
2.1 A brass rod of 25 mm in
diameter is enclosed in a steel tube. The tube is 10 mm thick with
an outside diameter of 50 mm. The bar and the tube are initially 1
m long and are rigidly fastened together at each end. Calculate the
stresses in the two materials when the temperature is raised by 80
0C.
2.2 If the composite bar is
then subjected to an axial tensile load of 60 kN, find...
A brass rod 25.00 mm long and 5.00 mm in diameter extends horizontally from a casting...
A brass rod 25.00 mm long and 5.00 mm in diameter extends
horizontally from a casting at 200°C. The rod is in an air
environment with T∞ =20°C and h=30 W/m2·K. What is the temperature
of the rod 6.25, 12.50, and 25.00 mm from the casting?
A brass rod 150.00 mm long and 5.00 mm in diameter extends horizontally from a casting...
A brass rod 150.00 mm long and 5.00 mm in diameter extends
horizontally from a casting at 200°C. The rod is in an air
environment with T∞ =20°C and h=30 W/m2·K. What is the temperature
of the rod 37.50, 75.00, and 150.00 mm from the casting?
Heat is generated uniformly at a rate of 2x105 W/m3 in a wall of thermal conductivity...
Heat is generated uniformly at a rate of 2x105
W/m3 in a wall of thermal
conductivity 25W/m K and thickness 60 mm. The wall is exposed to
convection
on both sides, with a fluid temperature of 30C and h =
50W/m2 K
on the left side, a fluid temperature of 15C and h = 12
W/m2 K on the
right side.
(a) Determine surface temperature on each side of the wall,
and
(b) the maximum temperature in the wall.
A spherical shell of wood with thermal conductivity of 0.13 W/m.K and an inner and outer...
A spherical shell of wood with thermal conductivity of 0.13
W/m.K and an inner and outer radius of 10 cm and 20 cm respectively
contains a mixture of water and water vapor(100 C) inside the shell
which is undergoing a phase change at atmospheric pressure. The
shell is suspended in a large room with an ambient air temperature
of 25 C Determine the temperature on the outer surface of the
spherical shell and rate of heat loss from the fluid...
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