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Heat Flux Density converter

The rate of heat flow through a surface, solar irradiance, furnace walls and electronics cooling all use it.

7 units, referenced to the watt per square meter

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Decimals, fractions such as 3/4, and scientific notation such as 1.2e3 all work.

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One watt per square meter in every heat flux density unit

6 rows
UnitSymbol1 W/m² equals
Kilowatt per square meterkW/m²0.001
Watt per square centimeterW/cm²0.0001
Calorie per second per square centimetercal/(s·cm²)2.390057361e-5
Kilocalorie per hour per square meterkcal/(h·m²)0.8604206501
BTU per hour per square footBTU/(h·ft²)0.3169983306
Langley per minuteLy/min0.001434034417

How the watt per square meter to btu per hour per square foot conversion works

Heat flux density is the rate of heat flow through a surface — power per unit area — referenced here to watt per square meter. Kilowatt and watt per square centimeter scale up by 1000 and 10,000 respectively (a square centimeter is much smaller than a square meter, so packing the same wattage into it means a much larger per-unit number). Calorie per second per square centimeter runs at 41,840, following the same calorie-to-joule relationship seen elsewhere in this group. Langley per minute, at roughly 697.3, is the time-rate version of the plain langley used for heat density, turning an accumulated energy unit into a power unit.

The featured conversion is watt per square meter to BTU per hour per square foot: BTU/(h·ft²) = W/m² × 0.3169983306. Reverse it by multiplying by 3.154590745.

Peak solar irradiance at Earth's surface, often cited as roughly 1000 W/m² on a clear day, converts to 1000 × 0.3169983306 ≈ 317 BTU/(h·ft²). A high-performance CPU shedding heat at 50 W/cm² — a figure sometimes seen in dense server chips — converts first to W/m² by scaling up 10,000-fold: 50 × 10,000 = 500,000 W/m², or 500 kW/m², illustrating just how concentrated electronic heat flux is compared to ambient solar flux.

Heat flux density is central to solar panel irradiance ratings, electronics and CPU cooling system design, furnace and kiln wall heat-loss calculations, and aerospace thermal-protection design for spacecraft re-entry, where flux densities can run into the megawatts per square meter for brief periods. HVAC engineers also use it when sizing radiant floor or ceiling heating and cooling systems.

It's easy to confuse this category with heat density (energy per area, no time component) simply because the names and even some unit symbols look alike — a langley is an energy-per-area unit, while a langley per minute is this category's power-per-area unit, and dropping the per-minute part by accident changes the physical quantity entirely. It's also worth watching unit prefixes closely: W/cm² and W/m² differ by a factor of 10,000, not 100, because area scales as the square of length.

Questions

How many BTU per hour per square foot equal one watt per square meter?

One W/m² equals 0.3169983306 BTU/(h·ft²), the standard conversion between metric solar/irradiance figures and US HVAC heat-loss calculations.

Which units does this heat flux density converter cover?

7 units referenced to watt per square meter: W/m², kW/m², W/cm², cal/(s·cm²), kcal/(h·m²), BTU/(h·ft²), and langley per minute.

Why does converting W/cm² to W/m² involve such a large factor?

Because area scales quadratically — a square meter contains 10,000 square centimeters, not 100 — so any per-area unit converting between centimeters and meters carries a factor of 10,000, which surprises people expecting a factor of 100.

When would I use langley per minute instead of watt per square meter?

Langley per minute mainly survives in meteorological and agricultural solar-radiation instruments and historical weather station records; modern instrumentation and engineering work almost always reports directly in W/m².

Is heat flux density the same thing as solar irradiance?

Solar irradiance is one specific application of heat flux density — the power of sunlight hitting a surface — but the category applies just as well to furnace walls, electronics, or any surface with heat flowing across it, solar or not.

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