S_PIPE_TO_PLANE

Computes the conduction shape factor for an isothermal pipe near an isothermal plane. This provides a compact geometric term for estimating steady heat flow in surrounding solids.

The factor is used with:

Q = Sk(T_1 - T_2)

Excel Usage

=S_PIPE_TO_PLANE(D, Z, L)

D (float, required): Pipe diameter (m).
Z (float, required): Distance to plane (m).
L (float, optional, default: 1): Pipe length (m).

Returns (float): Shape factor (m).

Example 1: Example pipe to plane

Inputs:

D	Z	L
1	100	3

Excel formula:

=S_PIPE_TO_PLANE(1, 100, 3)

Expected output:

3.14607

Example 2: Unit length near plane

Inputs:

D	Z
0.4	5

Excel formula:

=S_PIPE_TO_PLANE(0.4, 5)

Expected output:

1.60629

Example 3: Moderate spacing and length

Inputs:

D	Z	L
0.6	8	2

Excel formula:

=S_PIPE_TO_PLANE(0.6, 8, 2)

Expected output:

3.16039

Example 4: Small pipe near plane

Inputs:

D	Z	L
0.2	2	1

Excel formula:

=S_PIPE_TO_PLANE(0.2, 2, 1)

Expected output:

1.70357

Python Code

Show Code

from ht.conduction import S_isothermal_pipe_to_plane as ht_S_isothermal_pipe_to_plane

def S_pipe_to_plane(D, Z, L=1):
    """
    Compute the shape factor for a pipe near a plane.

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

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

    Args:
        D (float): Pipe diameter (m).
        Z (float): Distance to plane (m).
        L (float, optional): Pipe length (m). Default is 1.

    Returns:
        float: Shape factor (m).
    """
    try:
        return ht_S_isothermal_pipe_to_plane(D=D, Z=Z, L=L)
    except Exception as e:
        return f"Error: {str(e)}"

Online Calculator

D *

Pipe diameter (m).

Z *

Distance to plane (m).

Pipe length (m).