SERTH_HEDH

This function estimates critical heat flux for nucleate boiling in tube bundles using the Serth-HEDH correlation.

The model follows:

q_c = KH_{vap}\rho_g^{0.5}\left[\sigma g(\rho_l-\rho_g)\right]^{0.25}

The coefficient K depends on a reduced geometry term involving tube diameter and property ratios.

Excel Usage

=SERTH_HEDH(D, sigma, Hvap, rhol, rhog)

• D (float, required): Tube diameter (m).
• sigma (float, required): Surface tension of liquid (N/m).
• Hvap (float, required): Heat of vaporization of the fluid (J/kg).
• rhol (float, required): Density of the liquid (kg/m^3).
• rhog (float, required): Density of the produced gas (kg/m^3).

Returns (float): Critical heat flux (W/m^2), or an error message if invalid.

Example 1: Reference tube bundle example

Inputs:

D	sigma	Hvap	rhol	rhog
0.0127	0.0082	272000	567	18.09

Excel formula:

=SERTH_HEDH(0.0127, 0.0082, 272000, 567, 18.09)

Expected output:

351867

Example 2: Larger tube diameter

Inputs:

D	sigma	Hvap	rhol	rhog
0.02	0.01	300000	800	12

Excel formula:

=SERTH_HEDH(0.02, 0.01, 300000, 800, 12)

Expected output:

363585

Example 3: Smaller tube diameter

Inputs:

D	sigma	Hvap	rhol	rhog
0.01	0.007	250000	600	15

Excel formula:

=SERTH_HEDH(0.01, 0.007, 250000, 600, 15)

Expected output:

287615

Example 4: Higher surface tension case

Inputs:

D	sigma	Hvap	rhol	rhog
0.015	0.012	280000	700	10

Excel formula:

=SERTH_HEDH(0.015, 0.012, 280000, 700, 10)

Expected output:

313637

Python Code

Show Code

from ht.boiling_nucleic import Serth_HEDH as ht_Serth_HEDH

def Serth_HEDH(D, sigma, Hvap, rhol, rhog):
    """
    Compute nucleate boiling critical heat flux for tube bundles using the Serth-HEDH correlation.

    See: https://ht.readthedocs.io/en/latest/ht.boiling_nucleic.html

    This example function is provided as-is without any representation of accuracy.

    Args:
        D (float): Tube diameter (m).
        sigma (float): Surface tension of liquid (N/m).
        Hvap (float): Heat of vaporization of the fluid (J/kg).
        rhol (float): Density of the liquid (kg/m^3).
        rhog (float): Density of the produced gas (kg/m^3).

    Returns:
        float: Critical heat flux (W/m^2), or an error message if invalid.
    """
    try:
        return ht_Serth_HEDH(D=D, sigma=sigma, Hvap=Hvap, rhol=rhol, rhog=rhog)
    except Exception as e:
        return f"Error: {str(e)}"

Online Calculator

D *

Tube diameter (m).

sigma *

Surface tension of liquid (N/m).

Hvap *

Heat of vaporization of the fluid (J/kg).

rhol *

Density of the liquid (kg/m^3).

rhog *

Density of the produced gas (kg/m^3).