During the glass plate production process, blocks with a temperature of 1400°C are produced. These blocks are 5cm thick and measure 1.5m wide and 1m high. If the thermal conductivity of the glass is 1.05 W/m2 and the surrounding air temperature is 550°C and the center of the block remains at 1400 degrees. a. What is the equation of flow dT/dx? b. Which is the function T(x)? Consider that the internal and external temperatures remain constant and calculate the flux from the center of the block to one of its sides. (L=2.5m)

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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During the glass plate production process, blocks with a temperature of 1400°C are produced. These blocks are 5cm thick and measure 1.5m wide and 1m high. If the thermal conductivity of the glass is 1.05 W/m2 and the surrounding air temperature is 550°C and the center of the block remains at 1400 degrees.

a. What is the equation of flow dT/dx?

b. Which is the function T(x)?

Consider that the internal and external temperatures remain constant and calculate the flux from the center of the block to one of its sides. (L=2.5m)

Expert Solution
Step 1

Given data:

Temperature at the center of the glass block = T1 = 1400°C

Temperature at the sides = T2 = 550°C

Thermal conductivity = k = 1.05 W/m2

Cross-section of the block = 1.5 m x 1 m

Thickness of the block = l =5 cm  = 0.05 m

We have to find :

a. What is the equation of flow dT/dx?

b. Which is the function T(x)?

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