First slide

Heat transfer

Question

Two rods of equal length and diameter have thermal conductivities 3 and 4 units respectively. If they are joined in series, the thermal conductivity of the combination would be:

Moderate

A

3.43
B

3.5
C

3.4
D

3.34

Solution

$In series K_{eq} = \frac{\sum l_{i}}{\sum \frac{l_{i}}{K_{i}}} = \frac{l + l}{\frac{l}{3} + \frac{l}{4}} = \frac{24}{7} = 3.43 .$

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