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PHYSICS

Layered Heat Conduction Calculator

Calculate steady conductive heat flow through layers in series. Inspect thermal resistance, heat flux, transferred energy and interface temperatures.

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Calculation steps

Work through one step at a time or reveal the complete calculation. The steps use your current inputs.

    How to calculate

    Add each layer thickness divided by conductivity to obtain resistance per area. Divide the face-temperature difference by this resistance for heat flux; multiply by area and elapsed time for power and energy.

    Rarea=Σ(d/k); flux=ΔT/Rarea; power=area×flux

    Worked example

    A 0.1 m layer with k=0.04 W/(m K), area 10 m² and a 20 K temperature difference conducts 80 W, or 0.08 kWh over one hour.

    Assumptions and input details

    One-dimensional steady conduction through 1–20 uniform planar layers in series with a common positive face area. Enter layer thickness 1e−12–1e6 m and positive conductivity up to 1e6 W/(m K). Entered face temperatures may be reversed; heat and energy then carry a negative sign from first toward last face. Temperatures cannot be below absolute zero. This omits convection, radiation, contact/film resistance, thermal bridges and transient storage. It is not a whole-building heating-load calculation.

    References: OpenStax conduction

    Unit definitions

    Unit selection is independent of language. Each selector contains only units for its physical quantity. Calculations use defined base units internally.

    Choose from 23 length definitions, including explicitly labelled regional measures. Area conversions square the length factor; geometric volumes cube it.

    Regional measures are not interchangeable merely because their names look similar. This is a documented selection, not a claim to include every historical unit.

    NIST measurement tables · Japanese traditional units · Mainland China and Hong Kong unit distinctions

    Using this calculator

    Can I enter my own problem?

    Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.

    Are the results exact?

    Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.

    Is my input uploaded?

    The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.

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