NU_HORZ_LAM_COZOE

This function computes the laminar flat-plate Nusselt number for an isothermal plate using the Churchill-Ozoe expression. It provides a single smooth relation over a wide Prandtl-number range.

Nu_L = \frac{0.6774Re_L^{1/2}Pr^{1/3}}{\left[1 + (0.0468/Pr)^{2/3}\right]^{1/4}}

Excel Usage

=NU_HORZ_LAM_COZOE(Re, Pr)
  • Re (float, required): Reynolds number with respect to plate length (-).
  • Pr (float, required): Prandtl number at bulk temperature (-).

Returns (float): Nusselt number with respect to plate length (-).

Example 1: Churchill-Ozoe example case

Inputs:

Re Pr
100000 0.7

Excel formula:

=NU_HORZ_LAM_COZOE(100000, 0.7)

Expected output:

183.086

Example 2: Churchill-Ozoe at low Prandtl

Inputs:

Re Pr
60000 0.05

Excel formula:

=NU_HORZ_LAM_COZOE(60000, 0.05)

Expected output:

51.6837

Example 3: Churchill-Ozoe at mid Prandtl

Inputs:

Re Pr
90000 0.9

Excel formula:

=NU_HORZ_LAM_COZOE(90000, 0.9)

Expected output:

189.912

Example 4: Churchill-Ozoe at high Prandtl

Inputs:

Re Pr
110000 12

Excel formula:

=NU_HORZ_LAM_COZOE(110000, 12)

Expected output:

511.224

Python Code

Show Code 
from ht.conv_external import Nu_horizontal_plate_laminar_Churchill_Ozoe as ht_Nu_horizontal_plate_laminar_Churchill_Ozoe

def Nu_horz_lam_COzoe(Re, Pr):
    """
    Calculate the Nusselt number for laminar flow across an isothermal flat plate using the Churchill-Ozoe correlation.

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

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

    Args:
        Re (float): Reynolds number with respect to plate length (-).
        Pr (float): Prandtl number at bulk temperature (-).

    Returns:
        float: Nusselt number with respect to plate length (-).
    """
    try:
        return ht_Nu_horizontal_plate_laminar_Churchill_Ozoe(Re=Re, Pr=Pr)
    except Exception as e:
        return f"Error: {str(e)}"

Online Calculator

Reynolds number with respect to plate length (-).
Prandtl number at bulk temperature (-).