TURB_ESDU

This function computes turbulent internal convection Nusselt number using the ESDU correlation. It expresses heat transfer as a Reynolds–Prandtl relation with an additional logarithmic Prandtl-number correction.

Excel Usage

=TURB_ESDU(Re, Pr)

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

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

Example 1: ESDU example

Inputs:

Re	Pr
100000	1.2

Excel formula:

=TURB_ESDU(100000, 1.2)

Expected output:

232.302

Example 2: Lower Prandtl number

Inputs:

Re	Pr
60000	0.7

Excel formula:

=TURB_ESDU(60000, 0.7)

Expected output:

118.275

Example 3: Higher Prandtl number

Inputs:

Re	Pr
200000	5

Excel formula:

=TURB_ESDU(200000, 5)

Expected output:

771.223

Example 4: Mid Reynolds number

Inputs:

Re	Pr
150000	1

Excel formula:

=TURB_ESDU(150000, 1)

Expected output:

293.207

Python Code

Show Code

from ht.conv_internal import turbulent_ESDU as ht_turbulent_ESDU

def turb_esdu(Re, Pr):
    """
    Calculate turbulent Nusselt number using the ESDU 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_ESDU(Re=Re, Pr=Pr)
    except Exception as e:
        return f"Error: {str(e)}"

Online Calculator

Re *

Reynolds number (-).

Pr *

Prandtl number (-).