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One-dimensional steady state heat conduction takes place through a sol i d whose cross sectional area varies linearly in the direction of heat transfer. Assume t her e is no heat generation in the solid and the thermal conductivity of the material is constant and independent of temperature. The temperature distribution in the solid is
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- Quadratic
- Linear
- Logarithmic
- Exponential
Correct Option: C
We know that one-dimensional steady state heat conduction equation with no heat generation is given by,
 | - kA |  | = 0 | ||||
| dx | dx |
| ⇒ -kA | = C1 | dx |
∵ A = Cx + B (linear variation)
Logarithmic temperature distribution
