TURB_GNIEL_S1

This function computes turbulent Nusselt number for smooth internal pipe flow using the first simplified Gnielinski correlation. It is intended for lower-Prandtl-number smooth-pipe conditions.

Excel Usage

=TURB_GNIEL_S1(Re, Pr)

Re (float, required): Reynolds number (-).
Pr (float, required): Prandtl number (-).

Returns (float): Turbulent Nusselt number for smooth pipes (-).

Example 1: Gnielinski smooth 1 example

Inputs:

Re	Pr
100000	1.2

Excel formula:

=TURB_GNIEL_S1(100000, 1.2)

Expected output:

227.888

Example 2: Lower Prandtl number

Inputs:

Re	Pr
80000	0.8

Excel formula:

=TURB_GNIEL_S1(80000, 0.8)

Expected output:

161.77

Example 3: Higher Reynolds number

Inputs:

Re	Pr
200000	1

Excel formula:

=TURB_GNIEL_S1(200000, 1)

Expected output:

370.456

Example 4: Mid Reynolds number

Inputs:

Re	Pr
150000	1.4

Excel formula:

=TURB_GNIEL_S1(150000, 1.4)

Expected output:

336.191

Python Code

Show Code

from ht.conv_internal import turbulent_Gnielinski_smooth_1 as ht_turbulent_Gnielinski_smooth_1

def turb_gniel_s1(Re, Pr):
    """
    Calculate turbulent Nusselt number using Gnielinski smooth pipe case 1.

    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 (-).
        Pr (float): Prandtl number (-).

    Returns:
        float: Turbulent Nusselt number for smooth pipes (-).
    """
    try:
        return ht_turbulent_Gnielinski_smooth_1(Re=Re, Pr=Pr)
    except Exception as e:
        return f"Error: {str(e)}"

Online Calculator

Re *

Reynolds number (-).

Pr *

Prandtl number (-).