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What is the ratio of average heat transfer coefficient to local heat transfer coefficient for free convection under laminar flow condition on vertical plate?
- a)2
- b)1.5
- c)4/3
- d)1
Correct answer is option 'C'. Can you explain this answer?
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Understanding Heat Transfer Coefficients
In free convection, particularly for laminar flow over a vertical plate, two types of heat transfer coefficients are commonly discussed: the average heat transfer coefficient (h_avg) and the local heat transfer coefficient (h_local).
Local Heat Transfer Coefficient (h_local)
- The local heat transfer coefficient is defined at a specific point on the surface of the vertical plate.
- It varies along the height of the plate due to changes in temperature, velocity, and boundary layer development.
Average Heat Transfer Coefficient (h_avg)
- The average heat transfer coefficient is calculated over the entire surface of the vertical plate.
- It provides a single value that represents the overall heat transfer performance.
Ratio of Average to Local Heat Transfer Coefficient
- In laminar free convection, the relationship between the average and local heat transfer coefficients is determined by the boundary layer behavior.
- For a vertical plate under these conditions, it has been established through empirical studies and theoretical analysis that the ratio of h_avg to h_local at the plate's surface is approximately 4/3.
Conclusion
- Therefore, when asked for the ratio of the average heat transfer coefficient to the local heat transfer coefficient for free convection under laminar flow conditions on a vertical plate, the correct answer is indeed option 'C': 4/3.
- This ratio highlights the influence of the boundary layer thickness and the temperature gradient on heat transfer in laminar flows.
In free convection, particularly for laminar flow over a vertical plate, two types of heat transfer coefficients are commonly discussed: the average heat transfer coefficient (h_avg) and the local heat transfer coefficient (h_local).
Local Heat Transfer Coefficient (h_local)
- The local heat transfer coefficient is defined at a specific point on the surface of the vertical plate.
- It varies along the height of the plate due to changes in temperature, velocity, and boundary layer development.
Average Heat Transfer Coefficient (h_avg)
- The average heat transfer coefficient is calculated over the entire surface of the vertical plate.
- It provides a single value that represents the overall heat transfer performance.
Ratio of Average to Local Heat Transfer Coefficient
- In laminar free convection, the relationship between the average and local heat transfer coefficients is determined by the boundary layer behavior.
- For a vertical plate under these conditions, it has been established through empirical studies and theoretical analysis that the ratio of h_avg to h_local at the plate's surface is approximately 4/3.
Conclusion
- Therefore, when asked for the ratio of the average heat transfer coefficient to the local heat transfer coefficient for free convection under laminar flow conditions on a vertical plate, the correct answer is indeed option 'C': 4/3.
- This ratio highlights the influence of the boundary layer thickness and the temperature gradient on heat transfer in laminar flows.
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What is the ratio of average heat transfer coefficient to local heat transfer coefficient for free convection under laminar flow condition on vertical plate?a)2b)1.5c)4/3d)1Correct answer is option 'C'. Can you explain this answer?
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