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MasterMath

Heat Transfer Calculator

Heat conducted through a wall: conductivity times area times temperature difference, divided by thickness.

Result

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How this was worked out

    The formula

    P = k · A · ΔT / e

    SymbolQuantityUnit
    PHeat per secondW
    kThermal conductivityW/(m·K)
    AAream²
    ΔTTemperature differenceK
    eThicknessm

    What it means

    Conduction moves heat through a material without the material moving. The rate depends on what it is made of, how large the area is, how big the temperature difference is, and how thick it is.

    How to work it out by hand

    1. Multiply the conductivity by the area
    2. Multiply by the temperature difference
    3. Divide by the thickness

    What is worth knowing

    The thickness sits in the denominator, so doubling the insulation halves the heat loss — but only halves it, which is why insulation has diminishing returns and why the first centimetres matter far more than the last. Conductivities span four orders of magnitude: copper is about 400 W/(m·K), glass around 1, and still air 0.026. That last figure is the point of most insulation: fibreglass, wool and foam work by trapping air, and the fibres are there to stop it circulating rather than to insulate themselves. Conduction is also only one of three routes — convection and radiation carry heat in parallel, and a real wall loses heat by all three.

    Frequently asked questions

    Why does doubling insulation only halve the loss?

    Because thickness is in the denominator. Each added centimetre helps less than the one before.

    How does fibreglass insulation work?

    By trapping still air, which conducts very poorly. The fibres stop the air circulating rather than insulating themselves.

    What are typical conductivities?

    Copper about 400 W/(m·K), glass around 1, and still air 0.026. The range spans four orders of magnitude.

    Does this cover all heat loss?

    No, only conduction. Convection and radiation act in parallel, and a real wall loses heat by all three.