Question

4. Heat is generated uniformly in a stainless steel plate having k = 20 W/m-K. The thickness of the plate is 1.0 cm and the heat generation rate is 500 MW/m². If the two sides of the plate are maintained at 100 and 200°C respectively, calculate the temperature at the center of the plate. T=463°C

          4.
Heat is generated uniformly in a stainless steel plate having k = 20 W/m-K. The thickness of the plate is 1.0
cm and the heat generation rate is 500 MW/m². If the two sides of the plate are maintained at 100 and 200°C
respectively, calculate the temperature at the center of the plate.
T=463°C

4.
Heat is generated uniformly in a stainless steel plate having k = 20 W/m-K. The thickness of the plate is 1.0
cm and the heat generation rate is 500 MW/m². If the two sides of the plate are maintained at 100 and 200°C
respectively, calculate the temperature at the center of the plate.
T=463°C

Added by Ray W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Kajal Raghubanshi

Step 1

0 cm = 0.01 m (use x = 0 at plate center, x = ±L/2 at faces) - Volumetric heat generation q''' = 500 MW/m^3 = 500 × 10^6 W/m^3 - Boundary temperatures: T(−L/2) = 100 °C, T(+L/2) = 200 °C Show more…

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Heat is generated uniformly in a stainless steel plate having k=20 W/m-K. The thickness of the plate is 1.0 cm and the heat generation rate is 500 MW/mÂ². If the two sides of the plate are maintained at 100Â°C and 200Â°C respectively, calculate the temperature at the center of the plate.