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Consider the following statements:
The Fourier heat conduction equation
Q = -k A d t /d x
Presumes
i) Steady state conditions
ii) Constant value of thermal conductivity
iii) Uniform temperature at the wall surface
iv) One dimensional heat flow
Q = -k A d t /d x
Presumes
i) Steady state conditions
ii) Constant value of thermal conductivity
iii) Uniform temperature at the wall surface
iv) One dimensional heat flow
Which of these statements are correct?
- a)1, 2 and 3
- b)1, 2 and 4
- c)2, 3 and 4
- d)1, 3 and 4
Correct answer is option 'D'. Can you explain this answer?
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Consider the following statements:The Fourier heat conduction equation...
Thermal conductivity is different for different materials.
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Consider the following statements:The Fourier heat conduction equation...
Explanation:
The Fourier heat conduction equation:
Q = -k A d t /d x
where Q is the rate of heat transfer, A is the cross-sectional area, k is the thermal conductivity, d t /d x is the temperature gradient, is a fundamental equation in the study of heat transfer.
The correct statements regarding this equation are:
1. One dimensional heat flow:
The Fourier equation describes one-dimensional heat flow, meaning that heat is transferred only in one direction, typically along a rod or a plate.
2. Constant value of thermal conductivity:
The equation assumes that the thermal conductivity of the material through which heat is being transferred remains constant. This is a reasonable assumption for most solid materials.
3. Uniform temperature at the wall surface:
The equation assumes that the temperature at the surface of the material is uniform. This is a reasonable assumption for materials that are in contact with a large heat reservoir, such as the wall of a large tank of water.
4. Steady state conditions:
The equation assumes that the system is in steady state, meaning that the temperature does not change with time. This is a reasonable assumption for systems that have reached thermal equilibrium.
Therefore, the correct statements regarding the Fourier heat conduction equation are 1, 3, and 4.
The Fourier heat conduction equation:
Q = -k A d t /d x
where Q is the rate of heat transfer, A is the cross-sectional area, k is the thermal conductivity, d t /d x is the temperature gradient, is a fundamental equation in the study of heat transfer.
The correct statements regarding this equation are:
1. One dimensional heat flow:
The Fourier equation describes one-dimensional heat flow, meaning that heat is transferred only in one direction, typically along a rod or a plate.
2. Constant value of thermal conductivity:
The equation assumes that the thermal conductivity of the material through which heat is being transferred remains constant. This is a reasonable assumption for most solid materials.
3. Uniform temperature at the wall surface:
The equation assumes that the temperature at the surface of the material is uniform. This is a reasonable assumption for materials that are in contact with a large heat reservoir, such as the wall of a large tank of water.
4. Steady state conditions:
The equation assumes that the system is in steady state, meaning that the temperature does not change with time. This is a reasonable assumption for systems that have reached thermal equilibrium.
Therefore, the correct statements regarding the Fourier heat conduction equation are 1, 3, and 4.
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