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Heat transfer in a long, hollow cylinder which is maintained at uniform but different temperatures on its inner and outer surfaces may be assumed to be taking place in which direction?
- a)Axial only
- b)Unpredictable
- c)Radial only
- d)No heat transfer takes place
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Heat transfer in a long, hollow cylinder which is maintained at unifor...
Ambient temperature is uniform on the periphery of cylinder and temperature is uniform. So it takes place in radial direction only.
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Heat transfer in a long, hollow cylinder which is maintained at unifor...
Heat transfer in a long, hollow cylinder
Heat transfer in a long, hollow cylinder can occur in multiple directions. However, when the inner and outer surfaces of the cylinder are maintained at different temperatures, the heat transfer is primarily radial in nature.
Explanation:
1. Conduction in a hollow cylinder:
Conduction is the transfer of heat through a solid material. In the case of a hollow cylinder, heat transfer occurs primarily through conduction. The temperature difference between the inner and outer surfaces of the cylinder creates a temperature gradient, leading to heat flow from the higher temperature side to the lower temperature side.
2. Radial heat transfer:
When the inner and outer surfaces of the cylinder are maintained at different temperatures, heat transfer primarily occurs in the radial direction. This is because the temperature difference exists across the radial thickness of the cylinder. The heat flows from the region of higher temperature towards the region of lower temperature, resulting in radial heat transfer.
3. Axial heat transfer:
In a long, hollow cylinder, heat transfer in the axial direction is negligible compared to the radial direction. Axial heat transfer occurs due to convection or radiation, but it is typically much smaller in magnitude compared to the radial heat transfer. Therefore, in this scenario, the axial heat transfer can be considered negligible.
4. Unpredictable heat transfer:
The option of unpredictable heat transfer is not applicable in this case. Heat transfer in a long, hollow cylinder with uniform but different temperatures on its inner and outer surfaces can be reasonably predicted to occur primarily in the radial direction.
5. No heat transfer:
The option of no heat transfer is incorrect. Heat transfer occurs whenever there is a temperature difference. In the case of a long, hollow cylinder with different temperatures on its inner and outer surfaces, there will be heat transfer from the higher temperature side to the lower temperature side.
Therefore, the correct answer is option 'C' - Radial only. Heat transfer primarily occurs in the radial direction in a long, hollow cylinder when the inner and outer surfaces are maintained at uniform but different temperatures.
Heat transfer in a long, hollow cylinder can occur in multiple directions. However, when the inner and outer surfaces of the cylinder are maintained at different temperatures, the heat transfer is primarily radial in nature.
Explanation:
1. Conduction in a hollow cylinder:
Conduction is the transfer of heat through a solid material. In the case of a hollow cylinder, heat transfer occurs primarily through conduction. The temperature difference between the inner and outer surfaces of the cylinder creates a temperature gradient, leading to heat flow from the higher temperature side to the lower temperature side.
2. Radial heat transfer:
When the inner and outer surfaces of the cylinder are maintained at different temperatures, heat transfer primarily occurs in the radial direction. This is because the temperature difference exists across the radial thickness of the cylinder. The heat flows from the region of higher temperature towards the region of lower temperature, resulting in radial heat transfer.
3. Axial heat transfer:
In a long, hollow cylinder, heat transfer in the axial direction is negligible compared to the radial direction. Axial heat transfer occurs due to convection or radiation, but it is typically much smaller in magnitude compared to the radial heat transfer. Therefore, in this scenario, the axial heat transfer can be considered negligible.
4. Unpredictable heat transfer:
The option of unpredictable heat transfer is not applicable in this case. Heat transfer in a long, hollow cylinder with uniform but different temperatures on its inner and outer surfaces can be reasonably predicted to occur primarily in the radial direction.
5. No heat transfer:
The option of no heat transfer is incorrect. Heat transfer occurs whenever there is a temperature difference. In the case of a long, hollow cylinder with different temperatures on its inner and outer surfaces, there will be heat transfer from the higher temperature side to the lower temperature side.
Therefore, the correct answer is option 'C' - Radial only. Heat transfer primarily occurs in the radial direction in a long, hollow cylinder when the inner and outer surfaces are maintained at uniform but different temperatures.
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