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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)
    Remain constant
  • b)
    Be zero
  • c)
    Increase
  • d)
    Decrease
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Consider one-dimensional steady state heat conduction, without heat ge...
Q = -kA(dT/dx)
since steady flow means Q should be constant with time
now as x increases temperature also increases in direction of x (as T2>T1) means K increase (as k is given as function of temperature) so to keep Q constant value of dT/dx must decrease.
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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 positiveconstants and T is temperature.As x increases, the temperature gradient (dT / dx) willa)Remain constantb)Be zeroc)Increased)DecreaseCorrect answer is option 'D'. Can you explain this answer?
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