NU_MOKRY

This function estimates the Nusselt number for supercritical internal convection by the Mokry correlation. It uses Reynolds and Prandtl numbers and can include a density-ratio correction when wall and bulk densities are provided.

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

Excel Usage

=NU_MOKRY(Re, Pr, rho_w, rho_b)

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

Example 1: Mokry correlation example

Inputs:

Re	Pr	rho_w	rho_b
100000	1.2	330	290

Excel formula:

=NU_MOKRY(100000, 1.2, 330, 290)

Expected output:

246.116

Example 2: Mokry correlation bulk properties only

Inputs:

Re	Pr
80000	1

Excel formula:

=NU_MOKRY(80000, 1)

Expected output:

165.091

Example 3: Mokry correlation mid Reynolds number

Inputs:

Re	Pr	rho_w	rho_b
200000	0.9	360	310

Excel formula:

=NU_MOKRY(200000, 0.9, 360, 310)

Expected output:

382.639

Example 4: Mokry correlation higher Reynolds number

Inputs:

Re	Pr	rho_w	rho_b
500000	1.5	380	320

Excel formula:

=NU_MOKRY(500000, 1.5, 380, 320)

Expected output:

1258.17

Python Code

Show Code

from ht.conv_supercritical import Nu_Mokry as ht_Nu_Mokry

def Nu_Mokry(Re, Pr, rho_w=None, rho_b=None):
    """
    Calculate Nusselt number for supercritical flow using the Mokry 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 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 bulk fluid properties (-).
    """
    try:
        return ht_Nu_Mokry(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 bulk fluid properties (-).

Pr *

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

rho_w

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

rho_b

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