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Which quantity signifies the ratio of temperature gradient at the surface to a reference temperature gradient?
- a)Reynolds number
- b)Nusselt number
- c)Fourier number
- d)Stanton number
Correct answer is option 'B'. Can you explain this answer?
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Which quantity signifies the ratio of temperature gradient at the surf...
It is given by h l/k.
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Which quantity signifies the ratio of temperature gradient at the surf...
Nusselt number is the ratio of temperature gradient at the surface to a reference temperature gradient. It is an important dimensionless parameter in heat transfer, specifically in the field of convective heat transfer.
Explanation:
Convective heat transfer is the transfer of heat between a surface and a fluid flowing over it. The rate of heat transfer is dependent on the temperature gradient at the surface and the fluid properties. The Nusselt number is a dimensionless parameter that accounts for the effect of fluid properties on the rate of heat transfer.
The Nusselt number is defined as:
Nu = hL / k
Where Nu is the Nusselt number, h is the convective heat transfer coefficient, L is a characteristic length scale (usually the diameter of the object), and k is the thermal conductivity of the fluid.
The convective heat transfer coefficient is dependent on the properties of the fluid, the geometry of the object, and the flow conditions. Therefore, the Nusselt number is a dimensionless parameter that encapsulates the effect of these parameters on the heat transfer rate.
In the case of a surface, the temperature gradient is dependent on the heat transfer rate and the thermal conductivity of the material. Therefore, the Nusselt number can be expressed as the ratio of the temperature gradient at the surface to a reference temperature gradient.
Conclusion:
Thus, the Nusselt number signifies the ratio of temperature gradient at the surface to a reference temperature gradient. It is an important dimensionless parameter in the field of convective heat transfer and is used to analyze and optimize heat transfer processes.
Explanation:
Convective heat transfer is the transfer of heat between a surface and a fluid flowing over it. The rate of heat transfer is dependent on the temperature gradient at the surface and the fluid properties. The Nusselt number is a dimensionless parameter that accounts for the effect of fluid properties on the rate of heat transfer.
The Nusselt number is defined as:
Nu = hL / k
Where Nu is the Nusselt number, h is the convective heat transfer coefficient, L is a characteristic length scale (usually the diameter of the object), and k is the thermal conductivity of the fluid.
The convective heat transfer coefficient is dependent on the properties of the fluid, the geometry of the object, and the flow conditions. Therefore, the Nusselt number is a dimensionless parameter that encapsulates the effect of these parameters on the heat transfer rate.
In the case of a surface, the temperature gradient is dependent on the heat transfer rate and the thermal conductivity of the material. Therefore, the Nusselt number can be expressed as the ratio of the temperature gradient at the surface to a reference temperature gradient.
Conclusion:
Thus, the Nusselt number signifies the ratio of temperature gradient at the surface to a reference temperature gradient. It is an important dimensionless parameter in the field of convective heat transfer and is used to analyze and optimize heat transfer processes.
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Which quantity signifies the ratio of temperature gradient at the surface to a reference temperature gradient?a)Reynolds numberb)Nusselt numberc)Fourier numberd)Stanton numberCorrect answer is option 'B'. Can you explain this answer?
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