NU_CYL_SG

This function computes the average Nusselt number for forced crossflow over a single cylinder using the Sanitjai-Goldstein formulation. The correlation combines two Reynolds-number-dependent terms and is intended for Reynolds and Prandtl numbers evaluated at film temperature.

Nu = 0.446Re^{0.5}Pr^{0.35} + 0.528\left[(6.5e^{Re/5000})^{-5} + (0.031Re^{0.8})^{-5}\right]^{-1/5}Pr^{0.42}

Excel Usage

=NU_CYL_SG(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: Sanitjai-Goldstein example case

Inputs:

Re	Pr
6071	0.7

Excel formula:

=NU_CYL_SG(6071, 0.7)

Expected output:

40.3833

Example 2: Sanitjai-Goldstein in air

Inputs:

Re	Pr
15000	0.71

Excel formula:

=NU_CYL_SG(15000, 0.71)

Expected output:

79.2948

Example 3: Sanitjai-Goldstein in water

Inputs:

Re	Pr
25000	5

Excel formula:

=NU_CYL_SG(25000, 5)

Expected output:

230.012

Example 4: Sanitjai-Goldstein in glycol mixture

Inputs:

Re	Pr
8000	50

Excel formula:

=NU_CYL_SG(8000, 50)

Expected output:

240.333

Python Code

Show Code

from ht.conv_external import Nu_cylinder_Sanitjai_Goldstein as ht_Nu_cylinder_Sanitjai_Goldstein

def Nu_cyl_SG(Re, Pr):
    """
    Calculate the Nusselt number for crossflow across a single cylinder using the Sanitjai-Goldstein 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_Sanitjai_Goldstein(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 (-).