NU_CYLINDER_FAND

This function computes the average Nusselt number for forced crossflow over a single cylinder using the Fand empirical correlation. Inputs are Reynolds and Prandtl numbers at film temperature.

Nu = \left(0.35 + 0.34Re^{0.5} + 0.15Re^{0.58}\right)Pr^{0.3}

Excel Usage

=NU_CYLINDER_FAND(Re, Pr)

Re (float, required): Reynolds number with respect to cylinder diameter (-).
Pr (float, required): Prandtl number at film temperature (-).

Returns (float): Nusselt number with respect to cylinder diameter (-).

Example 1: Fand example case

Inputs:

Re	Pr
6071	0.7

Excel formula:

=NU_CYLINDER_FAND(6071, 0.7)

Expected output:

45.1998

Example 2: Small Reynolds number in liquid

Inputs:

Re	Pr
80	5

Excel formula:

=NU_CYLINDER_FAND(80, 5)

Expected output:

8.583

Example 3: Moderate Reynolds number in gas

Inputs:

Re	Pr
12000	0.72

Excel formula:

=NU_CYLINDER_FAND(12000, 0.72)

Expected output:

65.6326

Example 4: High Reynolds number in water

Inputs:

Re	Pr
90000	3.2

Excel formula:

=NU_CYLINDER_FAND(90000, 3.2)

Expected output:

303.979

Python Code

Show Code

from ht.conv_external import Nu_cylinder_Fand as ht_Nu_cylinder_Fand

def Nu_cylinder_Fand(Re, Pr):
    """
    Calculate the Nusselt number for crossflow across a single cylinder using the Fand 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 cylinder diameter (-).
        Pr (float): Prandtl number at film temperature (-).

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

Online Calculator

Re *

Reynolds number with respect to cylinder diameter (-).

Pr *

Prandtl number at film temperature (-).