NU_HORZ_TURB_SCHL

This function computes the turbulent flat-plate Nusselt number for an isothermal plate using the Schlichting formulation, which includes a denominator correction term as a function of Reynolds and Prandtl numbers.

Nu_L = \frac{0.037Re_L^{0.8}Pr}{1 + 2.443Re_L^{-0.1}(Pr^{2/3} - 1)}

Excel Usage

=NU_HORZ_TURB_SCHL(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: Schlichting example case

Inputs:

Re	Pr
100000	0.7

Excel formula:

=NU_HORZ_TURB_SCHL(100000, 0.7)

Expected output:

309.62

Example 2: Schlichting at mid Reynolds

Inputs:

Re	Pr
400000	0.9

Excel formula:

=NU_HORZ_TURB_SCHL(400000, 0.9)

Expected output:

1057.72

Example 3: Schlichting at high Prandtl

Inputs:

Re	Pr
900000	8

Excel formula:

=NU_HORZ_TURB_SCHL(900000, 8)

Expected output:

6001.36

Example 4: Schlichting at high Reynolds

Inputs:

Re	Pr
2000000	1.1

Excel formula:

=NU_HORZ_TURB_SCHL(2000000, 1.1)

Expected output:

4309.28

Python Code

Show Code

from ht.conv_external import Nu_horizontal_plate_turbulent_Schlichting as ht_Nu_horizontal_plate_turbulent_Schlichting

def Nu_horz_turb_Schl(Re, Pr):
    """
    Calculate the Nusselt number for turbulent flow across an isothermal flat plate using the Schlichting 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_turbulent_Schlichting(Re=Re, Pr=Pr)
    except Exception as e:
        return f"Error: {str(e)}"

Online Calculator

Re *

Reynolds number with respect to plate length (-).

Pr *

Prandtl number at bulk temperature (-).