Task 3 A hot water pipe that is used for domestic applications of 0.12 m outside diameter is insulated with a layer of calcium silicate. If the insulation is 20 mm thick and its inner and outer surfaces are maintained at Ts,1= 800 K and Ts,2= 490 K, respectively (a) What is the heat loss per unit length (q') of the pipe? (b) Explore the effect of insulation thickness on the heat loss q' and outer surface temperature T3,2 with the inner surface temperature being fixed at 800 K. The outer surface is exposed to moving

Elements Of Electromagnetics
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Task 3
A hot water pipe that is used for domestic applications of 0.12 m outside diameter is insulated with
a layer of calcium silicate. If the insulation is 20 mm thick and its inner and outer surfaces are
maintained at Ts,1= 800 K and Ts,2= 490 K, respectively
(a) What is the heat loss per unit length (q') of the pipe?
(b) Explore the effect of insulation thickness on the heat loss q’ and outer surface temperature T52
with the inner surface temperature being fixed at 800 K. The outer surface is exposed to moving
airflow (T= 25°C) that maintains a convection coefficient of 25 W/m².K and to large surroundings
for which Tsurf = T» = 25°C. The surface emissivity of calcium silicate is approximately 0.9.
Compute and plot the temperature distribution in the insulation material as a function of the radial
r-R
coordinate,
,where ri = 0.06 m and r2 has a range of (0.06< r2 <0.2 m). Compute and plot the
heat loss as a function of the insulation thickness for 0< (r2 - ri) <0.14 m. Given the thermal
conductivity of calcium silicate insulation equals to 0.089 W/m.K.
Transcribed Image Text:Task 3 A hot water pipe that is used for domestic applications of 0.12 m outside diameter is insulated with a layer of calcium silicate. If the insulation is 20 mm thick and its inner and outer surfaces are maintained at Ts,1= 800 K and Ts,2= 490 K, respectively (a) What is the heat loss per unit length (q') of the pipe? (b) Explore the effect of insulation thickness on the heat loss q’ and outer surface temperature T52 with the inner surface temperature being fixed at 800 K. The outer surface is exposed to moving airflow (T= 25°C) that maintains a convection coefficient of 25 W/m².K and to large surroundings for which Tsurf = T» = 25°C. The surface emissivity of calcium silicate is approximately 0.9. Compute and plot the temperature distribution in the insulation material as a function of the radial r-R coordinate, ,where ri = 0.06 m and r2 has a range of (0.06< r2 <0.2 m). Compute and plot the heat loss as a function of the insulation thickness for 0< (r2 - ri) <0.14 m. Given the thermal conductivity of calcium silicate insulation equals to 0.089 W/m.K.
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