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Btus (th)/hour/sq. foot/°F to Watts/square meter kelvin Converter (Btu (th)/(h·ft²·°F) to W/(m²·K))

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Live Conversion • ISO 80000-5:2019 Certified
1 BTU (th)/hour/sq. foot/°F = 5.67446667 Watt/square meter kelvin
1 Btu (th)/(h·ft²·°F) = 5.674467 W/(m²·K) • 1 W/(m²·K) = 0.176228 Btu (th)/(h·ft²·°F)
BTU (th)/hour/sq. foot/°F to Watt/square meter kelvin: One BTU (th)/hour/sq. foot/°F is equal to 5.67446667 Watts/square meter kelvin.
Certified Authority Value
5.67446667
W/(m²·K)
Exact: 1 W/(m²·K) ≡ 0.1762280156 Btu (th)/(h·ft²·°F)
Btu (th)/(h·ft²·°F)
Btu (th)/(h·ft²·°F)
Swap to Watt/square meter kelvin to BTU (th)/hour/sq. foot/°F
Swap to Watt/square meter kelvin to BTU (th)/hour/sq. foot/°F
W/(m²·K)
W/(m²·K) 5.67446667
Quick Values:
Conversion Formula
To convert BTU (th)/hour/sq. foot/°F to Watt/square meter kelvin, multiply by 5.67446667
Btu (th)/(h·ft²·°F) × 5.67446667 = W/(m²·K)

Calculation: 1 Btu (th)/(h·ft²·°F) × 5.67446667 = 5.67446667 W/(m²·K)

Common BTU (th)/hour/sq. foot/°F to Watt/square meter kelvin Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between BTU (th)/hour/sq. foot/°F (Btu (th)/(h·ft²·°F)) and Watt/square meter kelvin (W/(m²·K)).

Tap any row to calculate
BTU (th)/hour/sq. foot/°F to Watt/square meter kelvin: Primary Direct Table (15 Steps)
BTU (th)/hour/sq. foot/°F to Watt/square meter kelvin Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 Btu (th)/(h·ft²·°F) 0.00567447 W/(m²·K) 5.674 × 10⁻³
0.01 Btu (th)/(h·ft²·°F) 0.0567447 W/(m²·K) 5.674 × 10⁻²
0.1 Btu (th)/(h·ft²·°F) 0.567447 W/(m²·K) 5.674 × 10⁻¹
0.5 Btu (th)/(h·ft²·°F) 2.837233 W/(m²·K) 2.837 × 10⁰
1 Btu (th)/(h·ft²·°F) 5.674467 W/(m²·K) 5.674 × 10⁰
2 Btu (th)/(h·ft²·°F) 11.348933 W/(m²·K) 1.135 × 10¹
5 Btu (th)/(h·ft²·°F) 28.372333 W/(m²·K) 2.837 × 10¹
10 Btu (th)/(h·ft²·°F) 56.744667 W/(m²·K) 5.674 × 10¹
20 Btu (th)/(h·ft²·°F) 113.489333 W/(m²·K) 1.135 × 10²
25 Btu (th)/(h·ft²·°F) 141.861667 W/(m²·K) 1.419 × 10²
50 Btu (th)/(h·ft²·°F) 283.723333 W/(m²·K) 2.837 × 10²
100 Btu (th)/(h·ft²·°F) 567.446667 W/(m²·K) 5.674 × 10²
250 Btu (th)/(h·ft²·°F) 1418.616667 W/(m²·K) 1.419 × 10³
500 Btu (th)/(h·ft²·°F) 2837.233333 W/(m²·K) 2.837 × 10³
1000 Btu (th)/(h·ft²·°F) 5674.466667 W/(m²·K) 5.674 × 10³
Watt/square meter kelvin to BTU (th)/hour/sq. foot/°F: Reciprocal Summary
Watt/square meter kelvin to BTU (th)/hour/sq. foot/°F Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 W/(m²·K) 0.176228 Btu (th)/(h·ft²·°F) 1.762 × 10⁻¹
5 W/(m²·K) 0.88114 Btu (th)/(h·ft²·°F) 8.811 × 10⁻¹
10 W/(m²·K) 1.76228 Btu (th)/(h·ft²·°F) 1.762 × 10⁰
50 W/(m²·K) 8.811401 Btu (th)/(h·ft²·°F) 8.811 × 10⁰
100 W/(m²·K) 17.622802 Btu (th)/(h·ft²·°F) 1.762 × 10¹
View Complete 15-Row Watt/square meter kelvin to BTU (th)/hour/sq. foot/°F Table

Real-World Context & Everyday Benchmarks

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To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for BTU (th)/hour/sq. foot/°F (Btu (th)/(h·ft²·°F)) and Watt/square meter kelvin (W/(m²·K)):

BTU (th)/hour/sq. foot/°F References:

  • Stationary ambient air natural free convection on vertical wall 0.88114 Btu (th)/(h·ft²·°F)
  • Forced air breeze blowing across automotive cooling radiator 8.8114 Btu (th)/(h·ft²·°F)
  • Liquid water forced circulation inside heat exchanger pipe 528.68 Btu (th)/(h·ft²·°F)
  • Nucleate boiling heat transfer in pressurized steam boiler tube 2643.42 Btu (th)/(h·ft²·°F)

Watt/square meter kelvin References:

  • Stationary ambient air natural free convection on vertical wall 5 W/(m²·K)
  • Forced air breeze blowing across automotive cooling radiator 50 W/(m²·K)
  • Liquid water forced circulation inside heat exchanger pipe 3000 W/(m²·K)
  • Nucleate boiling heat transfer in pressurized steam boiler tube 15000 W/(m²·K)
  • Dropwise pure steam condensation on chilled titanium surface 50000 W/(m²·K)

Tap any benchmark above to automatically calculate its exact equivalent in Watt/square meter kelvin.

ISQ Dimension: [M T⁻³ Θ⁻¹] Coherent SI Unit: watt per square meter kelvin (W/(m²·K)) Thermodynamics & Heat Transfer

How to Convert BTU (th)/hour/sq. foot/°F to Watt/square meter kelvin

Converting BTU (th)/hour/sq. foot/°F (Btu (th)/(h·ft²·°F)) to Watt/square meter kelvin (W/(m²·K)) is a core calculation in Heat Transfer Coefficient, which quantifies the proportionality constant between the heat flux and the thermodynamic driving temperature difference. This calculation navigates the boundary between the International Metric System (SI) and British Imperial / US Customary engineering standards. In contemporary metrology, Imperial units are defined in terms of exact SI standards via international agreements—notably NIST SP 811 and the 1959 International Yard and Pound Agreement. Exactly 1 BTU (th)/hour/sq. foot/°F equals 5.674467 Watt/square meter kelvin, while 1 W/(m²·K) equals 0.176228 Btu (th)/(h·ft²·°F).

Direct Factor1 Btu (th)/(h·ft²·°F) = 5.674467 W/(m²·K)
Inverse Ratio1 W/(m²·K) = 0.176228 Btu (th)/(h·ft²·°F)
Conversion ScaleMetric SI to British Imperial / US Customary Bridge
First-Principles SI Derivation ProofNIST SP 811 / ISO 80000 Compliance

Mathematical Conversion Derivation via Coherent SI Base Unit

Under the International System of Quantities (ISQ), dimensional conversion between non-SI units is rigorously resolved by bridging through the coherent SI base unit (watt per square meter kelvin (W/(m²·K))) without arbitrary rounding:

Vtarget=Vsource×(ksource→SIktarget→SI)V_{\text{target}} = V_{\text{source}} \times \left( \frac{k_{\text{source} \to \text{SI}}}{k_{\text{target} \to \text{SI}}} \right)
Universal Dimensional Conversion Law (ISO 80000 / NIST SP 811)
1. Source SI Bridge (ksource):1 Btu (th)/(h·ft²·°F) = 5.674467 watt per square meter kelvin (W/(m²·K))
2. Target SI Bridge (ktarget):1 W/(m²·K) = 1 watt per square meter kelvin (W/(m²·K))
Step-by-step substitution for BTU (th)/hour/sq. foot/°F → Watt/square meter kelvin:V(W/(m²·K)) = V(Btu (th)/(h·ft²·°F)) × ( 5.674467 / 1 ) = V(Btu (th)/(h·ft²·°F)) × 5.674467
Mathematical FormulaValue in Watt/square meter kelvin = Value in BTU (th)/hour/sq. foot/°F × 5.67446667Direct computational formula applied for standard conversion.
Worked Example

To convert 24 BTU (th)/hour/sq. foot/°F (Btu (th)/(h·ft²·°F)) to Watt/square meter kelvin (W/(m²·K)): multiply 24 by 5.674467 to get 136.1872 W/(m²·K). At an industrial engineering scale, 5000 Btu (th)/(h·ft²·°F) converts to 28372.333333 W/(m²·K).

Inverse check: 1 W/(m²·K) = 0.176228 Btu (th)/(h·ft²·°F).

Understanding BTU (th)/hour/sq. foot/°F and Watt/square meter kelvin

BTU (th)/hour/sq. foot/°F

Btu (th)/(h·ft²·°F)
Imperial / US

A BTU (th)/hour/sq. foot/°F (Btu (th)/(h·ft²·°F)) is an imperial and US customary unit for heat transfer coefficient.

Applications & Practical Context

In practical heat transfer coefficient terms, a stationary ambient air natural free convection on vertical wall equals 0.88114 Btu (th)/(h·ft²·°F), a forced air breeze blowing across automotive cooling radiator equals 8.8114 Btu (th)/(h·ft²·°F), a liquid water forced circulation inside heat exchanger pipe equals 528.68 Btu (th)/(h·ft²·°F).

Physical Setup

A physical magnitude of 1 Btu (th)/(h·ft²·°F) corresponds to 5.674467 W/(m²·K) in standard SI measurement.

Conversion to SI Unit: watt per square meter kelvin (W/(m²·K))
1 Btu (th)/(h·ft²·°F) = 5.674467 W/(m²·K)

Watt/square meter kelvin

W/(m²·K)
SI Base Standard

A Watt/square meter kelvin (W/(m²·K)) is the official base standard unit for heat transfer coefficient.

Applications & Practical Context

In practical heat transfer coefficient terms, a stationary ambient air natural free convection on vertical wall equals 5 W/(m²·K), a forced air breeze blowing across automotive cooling radiator equals 50 W/(m²·K), a liquid water forced circulation inside heat exchanger pipe equals 3000 W/(m²·K).

Physical Setup

A heat transfer coefficient of 1 W/(m²·K) yields 1 watt of thermal energy transfer per square meter for each kelvin difference.

Conversion to SI Unit: watt per square meter kelvin (W/(m²·K))
1 W/(m²·K) = 1 W/(m²·K) (Base Standard)

Domain Metrology & Engineering Applications

Governing Law & Equation

Newton's Law of Cooling (q = h · ΔT)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using surface heat flux transducer plates coupled with surface RTD arrays, and wind tunnel boundary layer calorimeters.

Primary Industry Sectors

Applied across industrial heat exchanger rating, nuclear reactor cooling loop simulation, electronics forced-air cooling, and architectural U-value certification under international metrology standard ISO 80000-5:2019, ASME PTC.

Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-5:2019, ASME PTC and the BIPM SI Brochure (9th Edition). Governed by Newton's Law of Cooling (q = h · ΔT) under ISO 80000 dimensional vector [M T⁻³ Θ⁻¹].

Multi-Variable Engineering Bridge Convective Thermodynamics & Cooling

Heat Transfer Coefficient to Convective Flux Bridge (W/m² • kW/m² • BTU/(h·ft²) • cal/(s·cm²))

Calculate Newton’s law of cooling convective heat flux q" = h × ΔT across convective film temperature drops, bridging heat transfer coefficient [M T⁻³ Θ⁻¹] with heat flux [M T⁻³].

q" = h × ΔT
Vector: [W/(m²·K)] × [K] → [W/m²]
Live Calculated Bridge Equivalent:
1 Btu (th)/(h·ft²·°F) at Forced Air Duct Cooling (ΔT = 25 K) = 141.8617 W/m²
Equals 0.1419 kW/m² • 44.9699 BTU/(h·ft²) • 0.00338831 cal/(s·cm²)
SI Heat Flux
141.8617
W/m²
Watts per Square Meter
Solar / Combustion
0.1419
kW/m²
Kilowatts per Square Meter
US Building Envelope
44.9699
BTU/(h·ft²)
BTU per Hour Sq. Foot
CGS Thermal
0.00338831
cal/(s·cm²)
Calories per Second Sq. Cm
Meteorology
0.2033
Ly/min
Langley per Minute
Furnace Flux
0.00014186
MW/m²
Megawatts per Square Meter
  1. 1. Normalize Input to SI Base Unit (W/(m²·K)):
    h = 1 Btu (th)/(h·ft²·°F) × 5.67446667 = 5.67446667 W/(m²·K)
  2. 2. Apply Engineering Parameter (ΔT):
    Selected condition: Forced Air Duct Cooling (ΔT = 25 K) at ΔT = 25 K
  3. 3. Execute Governing Physical Law in SI Units:
    q" = h × ΔT = (5.67446667 W/(m²·K)) × (25 K) = 141.861667 W/m²
  4. 4. Convert to Standard Engineering Units:
    • W/m²: 141.861667 × 1 = 141.8617 W/m² (Watts per Square Meter) • kW/m²: 141.861667 × 0.001 = 0.1419 kW/m² (Kilowatts per Square Meter) • BTU/(h·ft²): 141.861667 × 0.317 = 44.9699 BTU/(h·ft²) (BTU per Hour Sq. Foot) • cal/(s·cm²): 141.861667 × 2.3885 × 10⁻⁵ = 0.00338831 cal/(s·cm²) (Calories per Second Sq. Cm) • Ly/min: 141.861667 × 0.001433 = 0.2033 Ly/min (Langley per Minute) • MW/m²: 141.861667 × 1 × 10⁻⁶ = 0.00014186 MW/m² (Megawatts per Square Meter)
Explore Full Heat Flux Density Converter →
Engineering Substance / Operating Standard Parameter Value (K) Reference State / Condition Typical Industrial & Engineering Application
Natural Air Convection (ΔT = 15 K) 15 ΔT = 15 K (15°C) Still room air room heating surface delta
Forced Air Duct Cooling (ΔT = 25 K) 25 ΔT = 25 K (25°C) Forced fan ventilation heatsink airflow
Forced Liquid Water Cooling (ΔT = 30 K) 30 ΔT = 30 K Pumped liquid cold plate or engine jacket
Nucleate Boiling Heat Transfer (ΔT = 50 K) 50 ΔT = 50 K Boiler evaporator tube wall boundary
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Frequently Asked Questions

There are exactly 5.67446667 watts/square meter kelvin (W/(m²·K)) in 1 btu (th)/hour/sq. foot/°f (Btu (th)/(h·ft²·°F)). To calculate larger amounts manually, simply multiply your total number of btus (th)/hour/sq. foot/°f by the conversion multiplier of 5.67446667.

The mathematical formula to convert btus (th)/hour/sq. foot/°f to watts/square meter kelvin is: [value] * 5.67446667 = watts/square meter kelvin. Rather than doing the math manually, you can use our high-precision online calculator to process this exact equation instantly without rounding errors.

To perform the reverse calculation from watts/square meter kelvin back to btus (th)/hour/sq. foot/°f, you must divide your starting value by 5.67446667. Our bidirectional tool automatically computes this inverse equation the moment you type into the watt/square meter kelvin input field.

1 BTU (th)/hour/sq. foot/°F is larger than 1 Watt/square meter kelvin. Specifically, 1 BTU (th)/hour/sq. foot/°F equals exactly 5.67446667 watts/square meter kelvin, making it 5.6745 times larger (a difference of 0.75 orders of magnitude). Therefore, quantities expressed in watts/square meter kelvin require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 BTU (th)/hour/sq. foot/°F converts to 5.67446667 watts/square meter kelvin. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.