Heat Transfer Coefficient for Condensation on Flat Plate for Nonlinear Temperature Profile in Film Calculator

Formula Used:

\[ h'_{fg} = (h_{fg} + 0.68 \times c \times (T_{Sat} - T_w)) \]

Latent Heat of Vaporization (h_fg):

J/kg

Specific Heat Capacity (c):

J/kg·K

Saturation Temperature (T_Sat):

Plate Surface Temperature (T_w):

Corrected Latent Heat of Vaporization (h'_fg):

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1. What is the Corrected Latent Heat of Vaporization?

The Corrected Latent Heat of Vaporization is defined as the heat required to change one mole of liquid at its boiling point under standard atmospheric pressure, adjusted for temperature differences in condensation processes.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ h'_{fg} = (h_{fg} + 0.68 \times c \times (T_{Sat} - T_w)) \]

Where:

\( h'_{fg} \) — Corrected Latent Heat of Vaporization (J/kg)
\( h_{fg} \) — Latent Heat of Vaporization (J/kg)
\( c \) — Specific Heat Capacity (J/kg·K)
\( T_{Sat} \) — Saturation Temperature (K)
\( T_w \) — Plate Surface Temperature (K)

Explanation: The equation accounts for the temperature difference between saturation temperature and plate surface temperature, applying a correction factor of 0.68 to the specific heat capacity term.

3. Importance of Correction Factor

Details: The correction factor is crucial for accurate heat transfer coefficient calculations in condensation processes, particularly for nonlinear temperature profiles in the condensate film on flat plates.

4. Using the Calculator

Tips: Enter all values in appropriate SI units. Latent heat of vaporization and specific heat capacity should be positive values. Temperature values should be in Kelvin and positive.

5. Frequently Asked Questions (FAQ)

Q1: Why is the correction factor 0.68 used?
A: The factor 0.68 is derived from theoretical analysis and experimental validation for condensation processes with nonlinear temperature profiles in the condensate film.

Q2: What is the significance of this correction?
A: This correction provides more accurate heat transfer coefficient calculations for condensation on flat plates, particularly when dealing with nonlinear temperature distributions.

Q3: When should this formula be applied?
A: This formula is specifically designed for calculating heat transfer coefficients in condensation processes on flat plates with nonlinear temperature profiles in the condensate film.

Q4: Are there limitations to this equation?
A: This equation is specifically validated for flat plate condensation with nonlinear temperature profiles and may not be directly applicable to other geometries or flow conditions.

Q5: What units should be used for input values?
A: All input values should be in SI units: J/kg for latent heat, J/kg·K for specific heat capacity, and Kelvin for temperatures.