Conduction Rate

Question

Heat flow rate through rod of area A, conductivity k, length L, temperature difference ΔT?

RankGuru · Accepted Answer

1. **Fourier's Law**: The rate of heat conduction through a material is proportional to the temperature gradient and area.
2. **Equation**: $\frac{Q}{t} = k A \frac{\Delta T}{L}$.
3. **Proportionality**:
   - Directly proportional to **thermal conductivity** ($k$).
   - Directly proportional to **cross-sectional area** ($A$).
   - Directly proportional to **temperature difference** ($\Delta T$).
   - Inversely proportional to **length** ($L$).
4. **Resistance Analogy**: Thermal resistance $R_{th} = L/(kA)$, so $	ext{Rate} = \Delta T / R_{th}$.

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Conduction Rate

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