TURB_COLBURN

This function computes turbulent pipe-flow Nusselt number using the Colburn correlation. It provides a simple Reynolds–Prandtl power-law estimate for internal forced convection in smooth-tube conditions.

Excel Usage

=TURB_COLBURN(Re, Pr)

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

Returns (float): Turbulent Nusselt number for pipe flow (-).

Example 1: Colburn example

Inputs:

Re	Pr
100000	1.2

Excel formula:

=TURB_COLBURN(100000, 1.2)

Expected output:

244.411

Example 2: Lower Prandtl number

Inputs:

Re	Pr
50000	0.8

Excel formula:

=TURB_COLBURN(50000, 0.8)

Expected output:

122.631

Example 3: Higher Prandtl number

Inputs:

Re	Pr
200000	2

Excel formula:

=TURB_COLBURN(200000, 2)

Expected output:

504.539

Example 4: Mid Reynolds number

Inputs:

Re	Pr
150000	1

Excel formula:

=TURB_COLBURN(150000, 1)

Expected output:

318.127

Python Code

Show Code

from ht.conv_internal import turbulent_Colburn as ht_turbulent_Colburn

def turb_colburn(Re, Pr):
    """
    Calculate turbulent Nusselt number using the Colburn correlation.

    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 pipe flow (-).
    """
    try:
        return ht_turbulent_Colburn(Re=Re, Pr=Pr)
    except Exception as e:
        return f"Error: {str(e)}"

Online Calculator

Re *

Reynolds number (-).

Pr *

Prandtl number (-).