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A furnace is made of a refractory brick wall of thickness 0.5 metre and thermal conductivity 0.7 W/m.°K For the same temperature drop and heat loss, this refractory wall can be replaced by a layer of diatomaceous earth of thermal conductivity 0.14 W/m.K and thickness __________ metre.
A
0.01
B
0.1
C
0.25
D
0.5
Correct Answer:
0.1
A furnace wall consists of two layers. The inside layer of 450 mm is made of light weight bricks of thermal conductivity IW/m.K and outside layer of 900 mm is made of refractory of thermal conductivity 2W/m.K. The hot face of the inside layer is at temperature 1300 K and the cold face of the outer layer is at 400 K. The temperature at the interface between the two layers is . . . . . . . . K.
A
1000
B
850
C
700
D
600
A composite flat wall of a furnace is made of two materials 'A' and 'B'. The thermal conductivity of 'A' is twice of that of material 'B', while the thickness of layer of 'A' is half that of B. If the temperature at the two sides of the wall are 400 and 1200°K, then the temperature drop (in °K) across the layer of material 'A' is
A
125
B
133
C
150
D
160
One face of a furnace wall is at 1030°C and the othere is exposed to the room temperature (30°C). If the thermal conductivity of the furnace wall is 3W. m
-1
k
-1
and the wall thickness is 0.3 m the maximum heat loss (in W/m
2
) is
A
100
B
900
C
9000
D
10000
The furnace of a boiler is laid from fire clay brick with outside lagging from the plate steel, the distance between the two is quite small compared with the size of the furnace. The brick setting is at an average temperature of 365 K whilst the steel lagging is at 290 K. Calculate the radiant heat flux. Assume the following emissivity values For brick = 0.85 For steel = 0.65
A
352.9 W/m2
B
452.9 W/m2
C
552.9 W/m2
D
652.9 W/m2
The temperature variation of a thick brick wall during periodic heating or cooling follows a sinusoidal waveform. During a period of 24 hours, the surface temperature ranges from 25 degree Celsius to 75 degree Celsius. Workout the time lag of the temperature wave corresponding to a point located at 25 cm from the wall surface. Thermo-physical properties of the wall material are; thermal conductivity = 0.62 W/m K; specific heat = 450 J/kg K and density = 1620 kg/m3
A
3.980 hour
B
6.245 hour
C
2.648 hour
D
3.850 hour
A flat wall of fire clay, 50 cm thick and initially at 25 degree Celsius, has one of its faces suddenly exposed to a hot gas at 950 degree Celsius. If the heat transfer coefficient on the hot side is 7.5 W/m2 K and the other face of the wall is insulated so that no heat passes out of that face, determine the time necessary to raise the center of the wall to 350 degree Celsius. For fire clay brick Thermal conductivity = 1.12 W/m K Thermal diffusivity = 5.16 * 10 -7 m2/s
A
43.07 hours
B
53.07 hours
C
63.07 hours
D
73.07 hours
The inner wall of a furnace is at a temperature of 700°C. The composite wall is made of two substances, 10 and 20 cm thick with thermal conductivities of 0.05 and 0.1 W.m
-1
.°C
-1
respectively. The ambient air is at 30°C and the heat transfer co-efficient between the outer surface of wall and air is 20 W.m
-2
.°C
-1
. The rate of heat loss from the outer surface in W.m
-2
is
A
165.4
B
167.5
C
172.5
D
175
A wall has two layers of materials A and B; each made of a different material. Both the layers have the same thickness. The thermal conductivity of materialA is twice that of B. Under the equilibrium, the temperature difference across the wall is 36°C. The temperature difference across the layer A is __________ °C.
A
6
B
12
C
18
D
24
Walls of a cubical oven are of thickness l, and they are made of material of thermal conductivity k. The temperature inside the oven is 100°C and the inside heat transfer co-efficient is 3k/l. If the wall temperature on the outside is held at 25°C, what is the inside wall temperature in degree centigrade?
A
35.5
B
43.75
C
81.25
D
48.25
Fourier's law of heat conduction is (where Q = Amount of heat flow through the body in unit time, A = Surface area of heat flow, taken at right angles to the direction of heat flow, dT = Temperature difference on the two faces of the body, dx = Thickness of the body, through which the heat flows, taken along the direction of heat flow and k = Thermal conductivity of the body)
A
$${\text{kA}}\frac{{{\text{dT}}}}{{{\text{dx}}}}$$
B
$${\text{kA}}\frac{{{\text{dx}}}}{{{\text{dT}}}}$$
C
$${\text{k}}\frac{{{\text{dT}}}}{{{\text{dx}}}}$$
D
$${\text{k}}\frac{{{\text{dx}}}}{{{\text{dT}}}}$$