LAM_ENTRY_HAUSEN

This function estimates the average laminar Nusselt number in the thermal entry region of internal tube flow using the Hausen correlation. It links Reynolds number, Prandtl number, and tube length-to-diameter effects to represent developing temperature profiles.

Excel Usage

=LAM_ENTRY_HAUSEN(Re, Pr, L, Di)

Re (float, required): Reynolds number (-).
Pr (float, required): Prandtl number (-).
L (float, required): Pipe length (m).
Di (float, required): Pipe diameter (m).

Returns (float): Laminar thermal entry-region Nusselt number (-).

Example 1: Hausen example

Inputs:

Re	Pr	L	Di
100000	1.1	5	0.5

Excel formula:

=LAM_ENTRY_HAUSEN(100000, 1.1, 5, 0.5)

Expected output:

39.0135

Example 2: Lower Reynolds number

Inputs:

Re	Pr	L	Di
5000	7	1	0.05

Excel formula:

=LAM_ENTRY_HAUSEN(5000, 7, 1, 0.05)

Expected output:

20.829

Example 3: Mid Reynolds number

Inputs:

Re	Pr	L	Di
20000	0.9	2	0.1

Excel formula:

=LAM_ENTRY_HAUSEN(20000, 0.9, 2, 0.1)

Expected output:

16.3739

Example 4: Short pipe length

Inputs:

Re	Pr	L	Di
8000	2	0.6	0.03

Excel formula:

=LAM_ENTRY_HAUSEN(8000, 2, 0.6, 0.03)

Expected output:

15.6768

Python Code

Show Code

from ht.conv_internal import laminar_entry_thermal_Hausen as ht_laminar_entry_thermal_Hausen

def lam_entry_hausen(Re, Pr, L, Di):
    """
    Calculate laminar thermal entry Nusselt number using Hausen.

    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 (-).
        L (float): Pipe length (m).
        Di (float): Pipe diameter (m).

    Returns:
        float: Laminar thermal entry-region Nusselt number (-).
    """
    try:
        return ht_laminar_entry_thermal_Hausen(Re=Re, Pr=Pr, L=L, Di=Di)
    except Exception as e:
        return f"Error: {str(e)}"

Online Calculator

Re *

Reynolds number (-).

Pr *

Prandtl number (-).

L *

Pipe length (m).

Di *

Pipe diameter (m).