NU_GORBAN

This function estimates the Nusselt number for supercritical turbulent pipe flow using the Gorban correlation. It applies a power-law relationship in Reynolds and Prandtl numbers for quick engineering estimation of convective heat transfer.

Nu = C\,Re^{m}Pr^{n}

Excel Usage

=NU_GORBAN(Re, Pr)

Re (float, required): Reynolds number with bulk fluid properties (-).
Pr (float, required): Prandtl number with bulk fluid properties (-).

Returns (float): Nusselt number with bulk fluid properties (-).

Example 1: Gorban correlation example

Inputs:

Re	Pr
100000	1.2

Excel formula:

=NU_GORBAN(100000, 1.2)

Expected output:

182.537

Example 2: Gorban correlation lower Reynolds number

Inputs:

Re	Pr
40000	1.1

Excel formula:

=NU_GORBAN(40000, 1.1)

Expected output:

80.861

Example 3: Gorban correlation mid Reynolds number

Inputs:

Re	Pr
200000	0.9

Excel formula:

=NU_GORBAN(200000, 0.9)

Expected output:

352.59

Example 4: Gorban correlation higher Reynolds number

Inputs:

Re	Pr
600000	1.4

Excel formula:

=NU_GORBAN(600000, 1.4)

Expected output:

898.779

Python Code

Show Code

from ht.conv_supercritical import Nu_Gorban as ht_Nu_Gorban

def Nu_Gorban(Re, Pr):
    """
    Calculate Nusselt number for supercritical flow using the Gorban 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 with bulk fluid properties (-).
        Pr (float): Prandtl number with bulk fluid properties (-).

    Returns:
        float: Nusselt number with bulk fluid properties (-).
    """
    try:
        return ht_Nu_Gorban(Re=Re, Pr=Pr)
    except Exception as e:
        return f"Error: {str(e)}"

Online Calculator

Re *

Reynolds number with bulk fluid properties (-).

Pr *

Prandtl number with bulk fluid properties (-).