NU_BRINGER_SMITH

This function computes the Nusselt number for turbulent internal flow near supercritical conditions using the Bringer-Smith empirical correlation. The model relates heat transfer to Reynolds and Prandtl numbers evaluated at the reference and wall-property states.

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

Excel Usage

=NU_BRINGER_SMITH(Re, Pr)

Re (float, required): Reynolds number with reference properties (-).
Pr (float, required): Prandtl number with wall properties (-).

Returns (float): Nusselt number with reference temperature properties (-).

Example 1: Bringer-Smith example

Inputs:

Re	Pr
100000	1.2

Excel formula:

=NU_BRINGER_SMITH(100000, 1.2)

Expected output:

208.176

Example 2: Bringer-Smith lower Reynolds number

Inputs:

Re	Pr
50000	1

Excel formula:

=NU_BRINGER_SMITH(50000, 1)

Expected output:

110.43

Example 3: Bringer-Smith mid Reynolds number

Inputs:

Re	Pr
200000	0.8

Excel formula:

=NU_BRINGER_SMITH(200000, 0.8)

Expected output:

284.037

Example 4: Bringer-Smith higher Reynolds number

Inputs:

Re	Pr
800000	1.5

Excel formula:

=NU_BRINGER_SMITH(800000, 1.5)

Expected output:

1167.11

Python Code

Show Code

from ht.conv_supercritical import Nu_Bringer_Smith as ht_Nu_Bringer_Smith

def Nu_Bringer_Smith(Re, Pr):
    """
    Calculate Nusselt number for near-supercritical flow using the Bringer-Smith 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 reference properties (-).
        Pr (float): Prandtl number with wall properties (-).

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

Online Calculator

Re *

Reynolds number with reference properties (-).

Pr *

Prandtl number with wall properties (-).