NU_SHITSMAN

This function computes the Nusselt number for supercritical turbulent internal convection using the Shitsman correlation. It depends on Reynolds number and the minimum of bulk and wall Prandtl numbers.

Nu = C\,Re^{m}(\min(Pr_b,Pr_w))^{n}

Excel Usage

=NU_SHITSMAN(Re, Pr_b, Pr_w)

Re (float, required): Reynolds number with bulk fluid properties (-).
Pr_b (float, required): Prandtl number with bulk fluid properties (-).
Pr_w (float, required): Prandtl number with wall fluid properties (-).

Returns (float): Nusselt number with bulk fluid properties (-).

Example 1: Shitsman correlation example

Inputs:

Re	Pr_b	Pr_w
100000	1.2	1.6

Excel formula:

=NU_SHITSMAN(100000, 1.2, 1.6)

Expected output:

266.117

Example 2: Shitsman correlation lower Reynolds number

Inputs:

Re	Pr_b	Pr_w
60000	1	1.3

Excel formula:

=NU_SHITSMAN(60000, 1, 1.3)

Expected output:

152.844

Example 3: Shitsman correlation mid Reynolds number

Inputs:

Re	Pr_b	Pr_w
200000	0.9	1.4

Excel formula:

=NU_SHITSMAN(200000, 0.9, 1.4)

Expected output:

368.083

Example 4: Shitsman correlation higher Reynolds number

Inputs:

Re	Pr_b	Pr_w
400000	1.3	1.7

Excel formula:

=NU_SHITSMAN(400000, 1.3, 1.7)

Expected output:

860.063

Python Code

Show Code

from ht.conv_supercritical import Nu_Shitsman as ht_Nu_Shitsman

def Nu_Shitsman(Re, Pr_b, Pr_w):
    """
    Calculate Nusselt number for supercritical flow using the Shitsman correlation.

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

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

    Args:
        Re (float): Reynolds number with bulk fluid properties (-).
        Pr_b (float): Prandtl number with bulk fluid properties (-).
        Pr_w (float): Prandtl number with wall fluid properties (-).

    Returns:
        float: Nusselt number with bulk fluid properties (-).
    """
    try:
        return ht_Nu_Shitsman(Re=Re, Pr_b=Pr_b, Pr_w=Pr_w)
    except Exception as e:
        return f"Error: {str(e)}"

Online Calculator

Re *

Reynolds number with bulk fluid properties (-).

Pr_b *

Prandtl number with bulk fluid properties (-).

Pr_w *

Prandtl number with wall fluid properties (-).