HVAC & Refrigeration
Basic

Thermal Resistance (R-value)

Insulating power of a material layer of given thickness.

Formula

R=LkR = \frac{L}{k}

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Variables

RThermal resistance (m²K/W)
LThickness (m)
kConductivity (W/mK)

Example

L=0.1 m, k=0.04: R = 2.5

How it works

Thermal resistance tells you how strongly a layer of material slows heat flow. It increases when the layer is thicker and decreases when the material conducts heat well, because heat has to travel farther through a poorer conductor. This comes from Fourier’s law of heat conduction: for a flat layer, the temperature drop across the material is proportional to its thickness and inversely proportional to its thermal conductivity.

When to use it

Use this formula when comparing insulation materials, estimating how much a wall, pipe wrap, or panel resists heat transfer, or when building up the total R-value of several layers in HVAC and refrigeration systems. It is especially useful for steady-state conduction through a single uniform layer.

Worked example, step by step

Given: L = 0.15 m, k = 0.03 W/mK Use the formula: R = L / k Substitute the values: R = 0.15 / 0.03 Calculate: R = 5 Answer: R = 5 m²K/W

Common mistakes to avoid

  • Using the wrong units for thickness or conductivity, which gives an incorrect R-value
  • Thinking a larger k means better insulation, when it actually means heat passes through more easily
  • Confusing thermal resistance R-value with total heat-transfer rate, which are different quantities

Did You Know?

Doubling insulation thickness doubles the R-value but yields diminishing comfort returns.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026