The heat flux in nucleate boiling varies in accordance witha)hf gb)(hf...
Q/A = δ f h f g [(p f – p g) g/σ] 0.5 [C f d t/h f g p C s f] 3.
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The heat flux in nucleate boiling varies in accordance witha)hf gb)(hf...
The heat flux in nucleate boiling is a critical parameter in the design and operation of heat exchangers and other heat transfer systems. It represents the amount of heat transferred per unit area and per unit time during the boiling process. The heat flux depends on various factors, including the properties of the fluid, the surface characteristics, and the operating conditions.
Nucleate boiling is characterized by the formation of small vapor bubbles at the surface of the heated wall. These bubbles grow and detach from the surface, carrying away heat and allowing fresh liquid to come into contact with the hot surface. The heat transfer in nucleate boiling is primarily governed by the dynamics of bubble formation, growth, and detachment.
The heat flux in nucleate boiling can be described by the following equation:
q = h_fg * (A/A_c)^m
where q is the heat flux, h_fg is the latent heat of vaporization, A is the heat transfer area, A_c is the area covered by the bubbles, and m is an exponent that depends on the bubble dynamics.
- The correct answer, option C, states that the heat flux is inversely proportional to the square of the latent heat of vaporization (1/(h_fg)^2). This means that as the latent heat of vaporization increases, the heat flux decreases. This is because a higher latent heat of vaporization indicates a higher energy requirement for bubble formation and growth, leading to a lower heat transfer rate.
- Option A, (h_fg)^b, is incorrect because it does not take into account the inverse relationship between the heat flux and the latent heat of vaporization.
- Option B, (h_fg)^0.5, is incorrect because it assumes a linear relationship between the heat flux and the latent heat of vaporization, which is not supported by experimental observations.
- Option D, (h_fg)^3, is incorrect because it assumes a cubic relationship between the heat flux and the latent heat of vaporization, which is not consistent with the physics of nucleate boiling.
In summary, the correct answer, option C, correctly represents the relationship between the heat flux in nucleate boiling and the latent heat of vaporization, indicating an inverse square relationship.