Consider a composite solid block of the shape of the frustum of a cone with the curved surface perfectly insulated shown in figure below. The block has two layers of thicknesses I (layer 1) and l2 (layer 2). The exposed surface of layer 1 (thermal conductivity, k = 5 W/m °C) has a radius r (= 0.18 m) and a temperature of T (= %3D 200°C), and that of layer 2 (thermal conductivity, k2 = 2 W/m °C) has a radius r2 (= 0.08 m) and a temperature To (= 100°C). If l = 0.2 m, and l2 = 0.15 m, calculate (a) the temperature distributions in the two layers, (b) the rate of heat flow through the assembly, (c) the heat flux at the open end of layer 2, and (d) the temperature and heat flux at the surface of contact of the layers. %3D Insulation T
Consider a composite solid block of the shape of the frustum of a cone with the curved surface perfectly insulated shown in figure below. The block has two layers of thicknesses I (layer 1) and l2 (layer 2). The exposed surface of layer 1 (thermal conductivity, k = 5 W/m °C) has a radius r (= 0.18 m) and a temperature of T (= %3D 200°C), and that of layer 2 (thermal conductivity, k2 = 2 W/m °C) has a radius r2 (= 0.08 m) and a temperature To (= 100°C). If l = 0.2 m, and l2 = 0.15 m, calculate (a) the temperature distributions in the two layers, (b) the rate of heat flow through the assembly, (c) the heat flux at the open end of layer 2, and (d) the temperature and heat flux at the surface of contact of the layers. %3D Insulation T
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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
Transcribed Image Text:7. Consider a composite solid block of the shape of the frustum of a cone with the
curved surface perfectly insulated shown in figure below. The block has two layers of
thicknesses l1 (layer 1) and l2 (layer 2). The exposed surface of layer 1 (thermal
conductivity, k = 5 W/m °C) has a radius r, (= 0.18 m) and a temperature of T; (=
200°C), and that of layer 2 (thermal conductivity, k2 = 2 W/m °C) has a radius r2 (=
0.08 m) and a temperature To (= 100°C). If l1 = 0.2 m, and l2= 0.15 m, calculate (a) the
temperature distributions in the two layers, (b) the rate of heat flow through the
assembly, (c) the heat flux at the open end of layer 2, and (d) the temperature and heat
flux at the surface of contact of the layers.
Insulation
2)
k
To
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