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Question

Consider one-dimensional steady state heat conduction, without heat generation, in a plane wall; with boundary conditions as shown in the figure below. The conductivity of the wall is given by k=k0+bT; where k0 and b are positive constants, and T is temperature.




As x increases, the temperature gradient (dT/dx) will

A
Remains constant
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B
be zero
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C
Increase
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D
Decrease
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Solution

The correct option is D Decrease

Q=kAdTdx .....(1)

where k=k0+bT;
As x increases, T increases, then k also increases.

i.e.,kis +ve
Equation (1), indicates dTdx decreases.

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