TURB_SIEDER

This function computes turbulent internal-flow Nusselt number using the Sieder–Tate correlation. It accepts optional bulk and wall viscosities to apply viscosity-ratio correction when fluid-property variation is significant.

Excel Usage

=TURB_SIEDER(Re, Pr, mu, mu_w)

Re (float, required): Reynolds number (-).
Pr (float, required): Prandtl number (-).
mu (float, optional, default: null): Bulk viscosity (Pa*s).
mu_w (float, optional, default: null): Wall viscosity (Pa*s).

Returns (float): Turbulent Nusselt number for pipe flow (-).

Example 1: Sieder-Tate example

Inputs:

Re	Pr
100000	1.2

Excel formula:

=TURB_SIEDER(100000, 1.2)

Expected output:

286.918

Example 2: Sieder-Tate with viscosity correction

Inputs:

Re	Pr	mu	mu_w
100000	1.2	0.01	0.067

Excel formula:

=TURB_SIEDER(100000, 1.2, 0.01, 0.067)

Expected output:

219.84

Example 3: Higher Reynolds number

Inputs:

Re	Pr
200000	0.7

Excel formula:

=TURB_SIEDER(200000, 0.7)

Expected output:

417.401

Example 4: Mid Reynolds number

Inputs:

Re	Pr	mu	mu_w
50000	2	0.002	0.0015

Excel formula:

=TURB_SIEDER(50000, 2, 0.002, 0.0015)

Expected output:

203.411

Python Code

Show Code

from ht.conv_internal import turbulent_Sieder_Tate as ht_turbulent_Sieder_Tate

def turb_sieder(Re, Pr, mu=None, mu_w=None):
    """
    Calculate turbulent Nusselt number using the Sieder-Tate correlation.

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

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

    Args:
        Re (float): Reynolds number (-).
        Pr (float): Prandtl number (-).
        mu (float, optional): Bulk viscosity (Pa*s). Default is None.
        mu_w (float, optional): Wall viscosity (Pa*s). Default is None.

    Returns:
        float: Turbulent Nusselt number for pipe flow (-).
    """
    try:
        return ht_turbulent_Sieder_Tate(Re=Re, Pr=Pr, mu=mu, mu_w=mu_w)
    except Exception as e:
        return f"Error: {str(e)}"

Online Calculator

Re *

Reynolds number (-).

Pr *

Prandtl number (-).

Bulk viscosity (Pa*s).

mu_w

Wall viscosity (Pa*s).