NU_SWENSON

This function estimates Nusselt number for supercritical internal turbulent flow using the Swenson correlation. It uses Reynolds and Prandtl numbers and optionally incorporates wall-to-bulk density-ratio effects.

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

Excel Usage

=NU_SWENSON(Re, Pr, rho_w, rho_b)

Re (float, required): Reynolds number with wall fluid properties (-).
Pr (float, required): Prandtl number with wall properties and averaged heat capacity (-).
rho_w (float, optional, default: null): Density at wall temperature (kg/m^3).
rho_b (float, optional, default: null): Density at bulk temperature (kg/m^3).

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

Example 1: Swenson correlation example

Inputs:

Re	Pr	rho_w	rho_b
100000	1.2	330	290

Excel formula:

=NU_SWENSON(100000, 1.2, 330, 290)

Expected output:

217.928

Example 2: Swenson correlation bulk properties only

Inputs:

Re	Pr
80000	1

Excel formula:

=NU_SWENSON(80000, 1)

Expected output:

153.945

Example 3: Swenson correlation mid Reynolds number

Inputs:

Re	Pr	rho_w	rho_b
200000	0.9	360	310

Excel formula:

=NU_SWENSON(200000, 0.9, 360, 310)

Expected output:

348.029

Example 4: Swenson correlation higher Reynolds number

Inputs:

Re	Pr	rho_w	rho_b
500000	1.5	380	320

Excel formula:

=NU_SWENSON(500000, 1.5, 380, 320)

Expected output:

1114.67

Python Code

Show Code

from ht.conv_supercritical import Nu_Swenson as ht_Nu_Swenson

def Nu_Swenson(Re, Pr, rho_w=None, rho_b=None):
    """
    Calculate Nusselt number for supercritical flow using the Swenson 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 wall fluid properties (-).
        Pr (float): Prandtl number with wall properties and averaged heat capacity (-).
        rho_w (float, optional): Density at wall temperature (kg/m^3). Default is None.
        rho_b (float, optional): Density at bulk temperature (kg/m^3). Default is None.

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

Online Calculator

Re *

Reynolds number with wall fluid properties (-).

Pr *

Prandtl number with wall properties and averaged heat capacity (-).

rho_w

Density at wall temperature (kg/m^3).

rho_b

Density at bulk temperature (kg/m^3).