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Problem 1. (75') This is a 1-D steady state problem. Only object A generates heat per unit volume of dA 2 x 106W/m3. The left surface of A is insulated and the right surface of B is exposed to a...
Problem : A cryogenic flui d is flowing in a 304 SS pipe. The pipe is...
Problem
:
A cryogenic flui
d is flowing in a
304 SS
pipe.
The pipe is insulated
on its outside surface
with
6
-
mm thick,
evacuated,
aluminum foil/glass mat insulation.
(“Evacuated” means a partial vacuum is drawn on the
insulation to
remove air that would otherwise fill
pores inside the insulation.)
The pipe
inside diameter
is 127 mm; it’s outside diameter is 138 mm.
The
fluid temperature is
-
173
o
C
.
T
he
air temperature
outside the...
Consider two blocks A and B that are insulated from all sides except the right side....
Consider two blocks A and B that are insulated from all sides except the right side. There is internal heat generation (qa= 104 W/m²) in block A but not in block B. Block B which is in perfect thermal contact with block A is exposed to a fluid at temperature Ta=25C and heat transfer coefficient h= 10 W/m²C. The thickness of block B is LB= 20cm and that of block Ais La=10cm. The thermal conductivity of block B is 5...
A planar wall is composed of two materials, wall 1 has a uniform heat generation of...
A planar wall is composed of two materials, wall 1 has a uniform heat generation of 1.5 x 106 W/m3 and a thermal conductivity of 60 Wm.Κ. Wall 2 has no heat generation and thermal resistance of 150 W/m.K. The inner surface of Wall 1 is well insulated, while the outer surface of Wall 2 is exposed to 30°C fluld. The temperature of the wall surface exposed to the fluid is most nearly 00 heat flow fluid at 30°C h...
W kg m-K m3 Two-Dimensional Steady and transient Conduction - Heat Sink Aluminum fins with triangle...
W kg m-K m3 Two-Dimensional Steady and transient Conduction - Heat Sink Aluminum fins with triangle profiles (k = 290 p = 2800 ,C= 900 shown in the accompanying figure, are used to remove heat from a surface kg-K whose temperature is T, = 150°C. The temperature of the surrounding air is 20°C. The natural heat transfer coefficient associated with the surrounding air is h = 190, Determine the temperature distribution along a fin. w m-K Air To, h 20...
The upper and lower sides of the rectangular aluminum block L-10mm, D 3mm) are insulated as shown below. The left and r...
The upper and lower sides of the rectangular aluminum block L-10mm, D 3mm) are insulated as shown below. The left and right sides have temperature boundary conditions and convective boundary conditions, respectively Surface temperature T 100 C, Outside temperature T-20 C Heat transfer coefficent h 120W/(m2 k) Alumium thermal conductivity K-220 W/(m k), density p-2707kg/m Specific heat C896J/(kg K) Assuming the aluminum block is a two-dimensional shape, calculate the temperature on the plane(x-y) as follows. 1) Calculate the temperature of...
finite element method 2. Aluminum fins with rectangular profiles (5 mm wide and 1 mm thick) are used to remove heat...
finite element method
2. Aluminum fins with rectangular profiles (5 mm wide and 1 mm thick) are used to remove heat from a surface whose temperature is 150°C. The temperature of ambient air is 20°C. The thermal conductivity of aluminium is 168 W/m.K. The natural convective coefficient associated with the surrounding air is 35 W/m2.K. The fins are 150 mm long and the heat loss from the tip of the fin may be neglected. (a) Determine the temperature distribution along...
Problem 2: Consider a large plane slab of semi-thickness L = 0.3 m, thermal conductivity k...
Problem 2: Consider a large plane slab of semi-thickness L = 0.3 m, thermal conductivity k = 2.5 W/m K and surface area A = 20.0 m². Both sides of the slab is maintained at a constant wall temperature of 358°K while it is subjected to a uniform but constant heat flux of 950.0 W/m2 Evaluate the temperature distribution/profile within the wall. Calculate the heat flux and temperature at location x = 0.1m. Problem 3: Consider a 10.0 m long...
Problem 2(30 points) Consider the steady-state temperature distribution in a square plate with dimensions 2 m...
Problem 2(30 points) Consider the steady-state temperature distribution in a square plate with dimensions 2 m x 2 m. There is a heat generation of ġ(x.y)=6x [W/my], and the thermal conductivity of k=1[W/(m-°C)]. The temperature on the top boundary is given by a piecewise function, f(x), which is defined below. x(4- x²)+10 0<x<1 | x(4- x?) + 20, 1<x<2 The bottom boundary is insulated. The temperatures on left-handed and right-handed boundary are maintained at constants 10[°C] and 20 [°C] as...
1. Steady state heat transfer in a planar system (35 pt) Two large flat porous horizontal...
1. Steady state heat transfer in a planar system (35 pt) Two large flat porous horizontal plates are separated by a relatively small distance L. The upper plate at y L is at temperature TL, and the lower one at y 0 is to be maintained at a lower temperature To. To reduce the amount of heat that must be removed from the lower plate, a Newtonian fluid at To is driven upward through both plates at a steady rate,...
The steady state temperature distribution across a wall, where -0.02 m, is T(X)*+bx+ A uniform heat...
The steady state temperature distribution across a wall, where -0.02 m, is T(X)*+bx+ A uniform heat generation rate. 9. ration rate. 9. Occurs in the wall and is given in the table below. Coefficients a, b and care in units shown in the table and x is in meters. The origin of the x coordinate is at the middle of the wall as shown. Each side of the wall experiences convection from a fluid at -20°C 82 K (thermal conductivity...
Problem
:
A cryogenic flui
d is flowing in a
304 SS
pipe.
The pipe is insulated
on its outside surface
with
6
-
mm thick,
evacuated,
aluminum foil/glass mat insulation.
(“Evacuated” means a partial vacuum is drawn on the
insulation to
remove air that would otherwise fill
pores inside the insulation.)
The pipe
inside diameter
is 127 mm; it’s outside diameter is 138 mm.
The
fluid temperature is
-
173
o
C
.
T
he
air temperature
outside the...
Consider two blocks A and B that are insulated from all sides except the right side. There is internal heat generation (qa= 104 W/m²) in block A but not in block B. Block B which is in perfect thermal contact with block A is exposed to a fluid at temperature Ta=25C and heat transfer coefficient h= 10 W/m²C. The thickness of block B is LB= 20cm and that of block Ais La=10cm. The thermal conductivity of block B is 5...
A planar wall is composed of two materials, wall 1 has a uniform heat generation of 1.5 x 106 W/m3 and a thermal conductivity of 60 Wm.Κ. Wall 2 has no heat generation and thermal resistance of 150 W/m.K. The inner surface of Wall 1 is well insulated, while the outer surface of Wall 2 is exposed to 30°C fluld. The temperature of the wall surface exposed to the fluid is most nearly 00 heat flow fluid at 30°C h...
W kg m-K m3 Two-Dimensional Steady and transient Conduction - Heat Sink Aluminum fins with triangle profiles (k = 290 p = 2800 ,C= 900 shown in the accompanying figure, are used to remove heat from a surface kg-K whose temperature is T, = 150°C. The temperature of the surrounding air is 20°C. The natural heat transfer coefficient associated with the surrounding air is h = 190, Determine the temperature distribution along a fin. w m-K Air To, h 20...
The upper and lower sides of the rectangular aluminum block L-10mm, D 3mm) are insulated as shown below. The left and right sides have temperature boundary conditions and convective boundary conditions, respectively Surface temperature T 100 C, Outside temperature T-20 C Heat transfer coefficent h 120W/(m2 k) Alumium thermal conductivity K-220 W/(m k), density p-2707kg/m Specific heat C896J/(kg K) Assuming the aluminum block is a two-dimensional shape, calculate the temperature on the plane(x-y) as follows. 1) Calculate the temperature of...
finite element method
2. Aluminum fins with rectangular profiles (5 mm wide and 1 mm thick) are used to remove heat from a surface whose temperature is 150°C. The temperature of ambient air is 20°C. The thermal conductivity of aluminium is 168 W/m.K. The natural convective coefficient associated with the surrounding air is 35 W/m2.K. The fins are 150 mm long and the heat loss from the tip of the fin may be neglected. (a) Determine the temperature distribution along...
Problem 2: Consider a large plane slab of semi-thickness L = 0.3 m, thermal conductivity k = 2.5 W/m K and surface area A = 20.0 m². Both sides of the slab is maintained at a constant wall temperature of 358°K while it is subjected to a uniform but constant heat flux of 950.0 W/m2 Evaluate the temperature distribution/profile within the wall. Calculate the heat flux and temperature at location x = 0.1m. Problem 3: Consider a 10.0 m long...
Problem 2(30 points) Consider the steady-state temperature distribution in a square plate with dimensions 2 m x 2 m. There is a heat generation of ġ(x.y)=6x [W/my], and the thermal conductivity of k=1[W/(m-°C)]. The temperature on the top boundary is given by a piecewise function, f(x), which is defined below. x(4- x²)+10 0<x<1 | x(4- x?) + 20, 1<x<2 The bottom boundary is insulated. The temperatures on left-handed and right-handed boundary are maintained at constants 10[°C] and 20 [°C] as...
1. Steady state heat transfer in a planar system (35 pt) Two large flat porous horizontal plates are separated by a relatively small distance L. The upper plate at y L is at temperature TL, and the lower one at y 0 is to be maintained at a lower temperature To. To reduce the amount of heat that must be removed from the lower plate, a Newtonian fluid at To is driven upward through both plates at a steady rate,...
The steady state temperature distribution across a wall, where -0.02 m, is T(X)*+bx+ A uniform heat generation rate. 9. ration rate. 9. Occurs in the wall and is given in the table below. Coefficients a, b and care in units shown in the table and x is in meters. The origin of the x coordinate is at the middle of the wall as shown. Each side of the wall experiences convection from a fluid at -20°C 82 K (thermal conductivity...
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