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Three identical rods have been joined at...

Three identical rods have been joined at a junction to make it a Y shape structure. If two free ends are maintained at `45^(@)C` and the end is at `0^(@)C`, then what is the junction temperature T?

Text Solution

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According to the question.
Rod are in steady state
So, `H= H_(1) + H_(2)`
`rArr (KA(T-0))/L = (KA(45-T))/L=KA(45-T)/L`
`rArr T= 45-T+45 -T rArr 3T=90 rArr T= 30^(@)`C
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  • Three metal rods of the same material and identical in all respect are joined as shown in the figure. The temperatures at the ends are maintained as indicated. Assuming no loss of heat from the curved surface of the rods, the temperature at the junction X would be

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