R_TO_K

Converts measured or specified thermal resistance into thermal conductivity using thickness and area. This is the inverse operation of resistance from conductivity for planar layers.

The conversion is:

k = \frac{t}{RA}

Excel Usage

=R_TO_K(R, t, A)
  • R (float, required): Thermal resistance (K/W or m^2*K/W).
  • t (float, required): Thickness (m).
  • A (float, optional, default: 1): Area (m^2).

Returns (float): Thermal conductivity (W/m/K).

Example 1: Default area conversion

Inputs:

R t
0.05 0.025

Excel formula:

=R_TO_K(0.05, 0.025)

Expected output:

0.5

Example 2: Larger area conversion

Inputs:

R t A
0.08 0.04 2

Excel formula:

=R_TO_K(0.08, 0.04, 2)

Expected output:

0.25

Example 3: Thin layer with small R

Inputs:

R t
0.01 0.005

Excel formula:

=R_TO_K(0.01, 0.005)

Expected output:

0.5

Example 4: Thick layer with higher R

Inputs:

R t
0.2 0.1

Excel formula:

=R_TO_K(0.2, 0.1)

Expected output:

0.5

Python Code

Show Code
from ht.conduction import R_to_k as ht_R_to_k

def R_to_k(R, t, A=1):
    """
    Compute thermal conductivity from thermal resistance.

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

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

    Args:
        R (float): Thermal resistance (K/W or m^2*K/W).
        t (float): Thickness (m).
        A (float, optional): Area (m^2). Default is 1.

    Returns:
        float: Thermal conductivity (W/m/K).
    """
    try:
        return ht_R_to_k(R=R, t=t, A=A)
    except Exception as e:
        return f"Error: {str(e)}"

Online Calculator

Thermal resistance (K/W or m^2*K/W).
Thickness (m).
Area (m^2).