Thermal Resistance (R-value)
Insulating power of a material layer of given thickness.
Formula
Live Calculator
MembersVariables
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.
Share this formula
More in HVAC & Refrigeration
View allSensible Heat Load
BasicHeat needed to change air or water temperature without a phase change.
Latent Heat Load
IntermediateHeat absorbed or released when moisture condenses or evaporates — the hidden load air conditioners fight.
Coefficient of Performance (Cooling)
IntermediateCooling delivered per unit of work input — higher is more efficient.
Energy Efficiency Ratio (EER)
BasicCooling capacity in BTU/h per watt of power — a common AC rating.
Refrigeration Tons
BasicCooling capacity in tons, where one ton removes 12,000 BTU/h.
Airflow (Sensible)
IntermediateAir volume flow needed to carry a sensible heat load (imperial units).