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Question

A plate having a thickness of $4.0 \mathrm{~mm}$ has an internal heat generation of $200 \mathrm{MW} / \mathrm{m}^3$ and a thermal conductivity of $25 \mathrm{~W} / \mathrm{m} \cdot{ }^{\circ} \mathrm{C}$. One side of the plate is insulated and the other side is maintained at $100^{\circ} \mathrm{C}$. Calculate the maximum temperature in the plate.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 16**Data given:**

- Thickness of a plate: $x=4\text{ cm}$;
- Heat generated per unit volume: $\dot{q}=200~\frac{\text{ W}}{\text{ m}^3}$;
- One side of plate is isolated;
- Temperature of the other side of plate: $T=100\text{ \degree C}$;
- Thermal conductivity: $k=25~\frac{\text{ W}}{\text{ m}\text{ \degree C}}$.

**Required:**

- Maximum temperature needs to be calculated.

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