HEL_TURB_NU_SCHM

This function computes the turbulent-flow Nusselt number for a helical coil using the Schmidt correlation. It combines Reynolds number, Prandtl number, and coil diameter ratio effects to estimate internal convection intensity in curved tubes.

Excel Usage

=HEL_TURB_NU_SCHM(Re, Pr, Di, Dc)

Re (float, required): Reynolds number based on tube diameter (-).
Pr (float, required): Prandtl number (-).
Di (float, required): Inner tube diameter (m).
Dc (float, required): Coil diameter (m).

Returns (float): Nusselt number for turbulent flow in a helical coil (-).

Example 1: Schmidt example case

Inputs:

Re	Pr	Di	Dc
200000	0.7	0.01	0.2

Excel formula:

=HEL_TURB_NU_SCHM(200000, 0.7, 0.01, 0.2)

Expected output:

466.257

Example 2: Moderate Reynolds number

Inputs:

Re	Pr	Di	Dc
80000	1.1	0.008	0.12

Excel formula:

=HEL_TURB_NU_SCHM(80000, 1.1, 0.008, 0.12)

Expected output:

275.073

Example 3: Larger coil diameter

Inputs:

Re	Pr	Di	Dc
120000	0.9	0.012	0.3

Excel formula:

=HEL_TURB_NU_SCHM(120000, 0.9, 0.012, 0.3)

Expected output:

324.548

Example 4: Higher Prandtl number

Inputs:

Re	Pr	Di	Dc
250000	1.5	0.01	0.18

Excel formula:

=HEL_TURB_NU_SCHM(250000, 1.5, 0.01, 0.18)

Expected output:

732.513

Python Code

Show Code

from ht.conv_internal import helical_turbulent_Nu_Schmidt as ht_helical_turbulent_Nu_Schmidt

def hel_turb_nu_schm(Re, Pr, Di, Dc):
    """
    Calculate the turbulent helical coil Nusselt number using Schmidt.

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

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

    Args:
        Re (float): Reynolds number based on tube diameter (-).
        Pr (float): Prandtl number (-).
        Di (float): Inner tube diameter (m).
        Dc (float): Coil diameter (m).

    Returns:
        float: Nusselt number for turbulent flow in a helical coil (-).
    """
    try:
        return ht_helical_turbulent_Nu_Schmidt(Re=Re, Pr=Pr, Di=Di, Dc=Dc)
    except Exception as e:
        return f"Error: {str(e)}"

Online Calculator

Re *

Reynolds number based on tube diameter (-).

Pr *

Prandtl number (-).

Di *

Inner tube diameter (m).

Dc *

Coil diameter (m).