S_PIPE_TWO_PLANES

Computes the conduction shape factor for an isothermal pipe centered between two parallel isothermal planes at equal spacing. This captures geometry in compact conduction calculations.

The shape-factor model is:

Q = Sk(T_1 - T_2)

Excel Usage

=S_PIPE_TWO_PLANES(D, Z, L)

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

Returns (float): Shape factor (m).

Example 1: Example pipe between planes

Inputs:

D	Z	L
0.1	5	1

Excel formula:

=S_PIPE_TWO_PLANES(0.1, 5, 1)

Expected output:

1.29637

Example 2: Unit length with smaller spacing

Inputs:

D	Z
0.2	3

Excel formula:

=S_PIPE_TWO_PLANES(0.2, 3)

Expected output:

1.72484

Example 3: Larger pipe diameter

Inputs:

D	Z	L
0.5	10	2

Excel formula:

=S_PIPE_TWO_PLANES(0.5, 10, 2)

Expected output:

3.19719

Example 4: Moderate geometry values

Inputs:

D	Z	L
0.3	6	1.5

Excel formula:

=S_PIPE_TWO_PLANES(0.3, 6, 1.5)

Expected output:

2.39789

Python Code

Show Code

from ht.conduction import S_isothermal_pipe_to_two_planes as ht_S_isothermal_pipe_to_two_planes

def S_pipe_two_planes(D, Z, L=1):
    """
    Compute the shape factor for a pipe between two planes.

    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 each plane (m).
        L (float, optional): Pipe length (m). Default is 1.

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

Online Calculator

D *

Pipe diameter (m).

Z *

Distance to each plane (m).

Pipe length (m).