Direction: Consider steady one-dimensional heat flow in a plate of 20 mm thickness with a uniform heat generation of 80 MW/m³. The left and right faces are kept at constant temperatures of 160°C and 120°C respectively. The plate has a constant thermal conductivity of 200 W/mK.
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The location of maximum temperature within the plate from its left face is
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- 15 mm
- 10 mm
- 5 mm
- 0 mm
Correct Option: C
| + | = 0 | ||
| dx² | K |
| ∴ T = | x² + C1x + C2......(i) | ||
| 2 | K |
At x = 0, T = 433 K
∴ C2 = 433
At x = 20 × 10–3 m, T = 393 K.
∴ C1 = 200
For maximum temperature,
| = 0 | |
| dx |
| ∴ | + C1 = 0 | |
| K |
x = 5 × 10–3 = 5 mm
