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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 constant, and T is temperature.

As x increases, the temperature gradient (dT/dx) will
[2013]
  • a)
    remains constant
  • b)
    be zero
  • c)
    increase
  • d)
    decrease
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Consider one-dimensional steady state heat conduction, without heat ge...
k = k0 + bT, k = f (T)
From energy equation:

⇒  ...(1)

Using B.C’s
x = 0, T = 0
x = 1, T = 100
A = 0

from equation (1)
View all questions of this test
Most Upvoted Answer
Consider one-dimensional steady state heat conduction, without heat ge...
k = k0 + bT, k = f (T)
From energy equation:

⇒  ...(1)

Using B.C’s
x = 0, T = 0
x = 1, T = 100
A = 0

from equation (1)
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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 constant, and T is temperature.As x increases, the temperature gradient (dT/dx) will[2013]a)remains constantb)be zeroc)increased)decreaseCorrect answer is option 'C'. Can you explain this answer?
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