NU_GRIEM

This function calculates the Nusselt number for turbulent supercritical internal flow with the Griem correlation. The correlation primarily uses Reynolds and Prandtl numbers and can include an enthalpy-based adjustment factor when enthalpy is supplied.

Nu = C\,Re^{m}Pr^{n}\,\omega(H)

Excel Usage

=NU_GRIEM(Re, Pr, H)

Re (float, required): Reynolds number as defined by the correlation (-).
Pr (float, required): Prandtl number as defined by the correlation (-).
H (float, optional, default: null): Enthalpy of water when applicable (J/kg).

Returns (float): Nusselt number for supercritical pipe flow (-).

Example 1: Griem correlation example

Inputs:

Re	Pr
100000	1.2

Excel formula:

=NU_GRIEM(100000, 1.2)

Expected output:

275.482

Example 2: Griem correlation lower Reynolds number

Inputs:

Re	Pr
60000	1

Excel formula:

=NU_GRIEM(60000, 1)

Expected output:

166.154

Example 3: Griem correlation with enthalpy

Inputs:

Re	Pr	H
150000	1.4	1600000

Excel formula:

=NU_GRIEM(150000, 1.4, 1600000)

Expected output:

361.133

Example 4: Griem correlation higher Reynolds number

Inputs:

Re	Pr
400000	0.9

Excel formula:

=NU_GRIEM(400000, 0.9)

Expected output:

774.82

Python Code

Show Code

from ht.conv_supercritical import Nu_Griem as ht_Nu_Griem

def Nu_Griem(Re, Pr, H=None):
    """
    Calculate Nusselt number for supercritical flow using the Griem correlation.

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

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

    Args:
        Re (float): Reynolds number as defined by the correlation (-).
        Pr (float): Prandtl number as defined by the correlation (-).
        H (float, optional): Enthalpy of water when applicable (J/kg). Default is None.

    Returns:
        float: Nusselt number for supercritical pipe flow (-).
    """
    try:
        return ht_Nu_Griem(Re=Re, Pr=Pr, H=H)
    except Exception as e:
        return f"Error: {str(e)}"

Online Calculator

Re *

Reynolds number as defined by the correlation (-).

Pr *

Prandtl number as defined by the correlation (-).

Enthalpy of water when applicable (J/kg).