CTB_NU_HEDH

This function computes tube-bank Nusselt number using the Heat Exchanger Design Handbook (HEDH) correlation set. It blends laminar and turbulent contributions and applies arrangement-dependent factors.

The result provides an external-convection heat-transfer estimate for tube-bank geometries in crossflow.

Excel Usage

=CTB_NU_HEDH(Re, Pr, Do, tube_rows, pitch_parallel, pitch_normal)

Re (float, required): Reynolds number based on tube outer diameter (-).
Pr (float, required): Prandtl number at bulk conditions (-).
Do (float, required): Tube outer diameter (m).
tube_rows (int, required): Number of tube rows per bundle (-).
pitch_parallel (float, required): Tube pitch parallel to flow (m).
pitch_normal (float, required): Tube pitch normal to flow (m).

Returns (float): Nusselt number for a tube bank, or an error message if invalid.

Example 1: Example turbulent case

Inputs:

Re	Pr	tube_rows	pitch_parallel	pitch_normal	Do
10000	7	10	0.05	0.05	0.03

Excel formula:

=CTB_NU_HEDH(10000, 7, 10, 0.05, 0.05, 0.03)

Expected output:

382.464

Example 2: Example from reference data

Inputs:

Re	Pr	tube_rows	pitch_parallel	pitch_normal	Do
10263.37	0.708	11	0.05	0.05	0.025

Excel formula:

=CTB_NU_HEDH(10263.37, 0.708, 11, 0.05, 0.05, 0.025)

Expected output:

149.187

Example 3: Low Reynolds number case

Inputs:

Re	Pr	tube_rows	pitch_parallel	pitch_normal	Do
120	5	6	0.04	0.04	0.02

Excel formula:

=CTB_NU_HEDH(120, 5, 6, 0.04, 0.04, 0.02)

Expected output:

21.5715

Example 4: High Reynolds number case

Inputs:

Re	Pr	tube_rows	pitch_parallel	pitch_normal	Do
80000	0.8	12	0.08	0.06	0.03

Excel formula:

=CTB_NU_HEDH(80000, 0.8, 12, 0.08, 0.06, 0.03)

Expected output:

586.174

Python Code

Show Code

from ht.conv_tube_bank import Nu_HEDH_tube_bank as ht_Nu_HEDH_tube_bank

def ctb_nu_hedh(Re, Pr, Do, tube_rows, pitch_parallel, pitch_normal):
    """
    Compute tube bank Nusselt number using the HEDH correlation.

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

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

    Args:
        Re (float): Reynolds number based on tube outer diameter (-).
        Pr (float): Prandtl number at bulk conditions (-).
        Do (float): Tube outer diameter (m).
        tube_rows (int): Number of tube rows per bundle (-).
        pitch_parallel (float): Tube pitch parallel to flow (m).
        pitch_normal (float): Tube pitch normal to flow (m).

    Returns:
        float: Nusselt number for a tube bank, or an error message if invalid.
    """
    try:
        return ht_Nu_HEDH_tube_bank(
            Re=Re,
            Pr=Pr,
            Do=Do,
            tube_rows=tube_rows,
            pitch_parallel=pitch_parallel,
            pitch_normal=pitch_normal,
        )
    except Exception as e:
        return f"Error: {str(e)}"

Online Calculator

Re *

Reynolds number based on tube outer diameter (-).

Pr *

Prandtl number at bulk conditions (-).

Do *

Tube outer diameter (m).

tube_rows *

Number of tube rows per bundle (-).

pitch_parallel *

Tube pitch parallel to flow (m).

pitch_normal *

Tube pitch normal to flow (m).