Regarding one dimensional heat transfer, choose the correct statementa)Steady- f (x), Unsteady- f (x, t)b)Steady- f (x, t), Unsteady- f (x)c)Steady- f (x, y, t), Unsteady- f (x)d)Steady- f (y, z), Unsteady- f (y)Correct answer is option 'D'. Can you explain this answer?

Question

Accepted Answer

In case of one dimensional heat flow steady state is a function of x coordinate only while unsteady state is a function of x coordinate and time only.

Answer

The explanation about this question is correct, but the option (d) is not the correct. the correct is A, that is according with the explanation.

Answer

Correct answer A. as per explanation.

Answer

Steady- f (y, z), Unsteady- f (y)

Explanation:
One-dimensional heat transfer refers to the transfer of heat in a single direction, typically along a straight line. It is often used to model heat transfer in systems that can be approximated as long, thin rods or slabs.

In the context of one-dimensional heat transfer, the correct statement is 'Steady- f (y, z), Unsteady- f (y)'. This means that in steady-state heat transfer, the temperature distribution depends only on the spatial coordinates (y, z), while in unsteady-state heat transfer, the temperature distribution also depends on the time (t).

Let's break down the options and understand why the correct answer is option 'D':

a) Steady- f (x), Unsteady- f (x, t)
This option suggests that the steady-state temperature distribution depends only on the spatial coordinate x, while the unsteady-state temperature distribution depends on both x and t. However, in one-dimensional heat transfer, we typically consider the temperature distribution along a single straight line, so the correct spatial coordinates are y and z, not x.

b) Steady- f (x, t), Unsteady- f (x)
This option suggests that the steady-state temperature distribution depends on both the spatial coordinates (x, t), while the unsteady-state temperature distribution depends only on x. However, as mentioned earlier, the correct spatial coordinates for one-dimensional heat transfer are y and z, not x.

c) Steady- f (x, y, t), Unsteady- f (x)
This option suggests that the steady-state temperature distribution depends on all three spatial coordinates (x, y, t), while the unsteady-state temperature distribution depends only on x. Again, the correct spatial coordinates for one-dimensional heat transfer are y and z, not x.

d) Steady- f (y, z), Unsteady- f (y)
This is the correct option. In steady-state heat transfer, the temperature distribution depends only on the spatial coordinates y and z, while in unsteady-state heat transfer, the temperature distribution depends only on y. This is consistent with one-dimensional heat transfer along a straight line.

Therefore, the correct statement is 'Steady- f (y, z), Unsteady- f (y)'.

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