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Watts/meter/kelvin to Btu (it) Feet/hour/sq. foot/°F Converter (W/(m·K) to Btu·ft/(h·ft²·°F))

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1 Watt/meter/kelvin = 0.57778932 Btu (IT) foot/hour/sq. foot/°F
1 W/(m·K) = 0.577789 Btu·ft/(h·ft²·°F) • 1 Btu·ft/(h·ft²·°F) = 1.730735 W/(m·K)
Watt/meter/kelvin to Btu (IT) foot/hour/sq. foot/°F: One Watt/meter/kelvin is equal to 0.57778932 Btu (it) Feet/hour/sq. foot/°F.
Certified Authority Value
0.57778932
Btu·ft/(h·ft²·°F)
Exact: 1 Btu·ft/(h·ft²·°F) ≡ 1.7307346664 W/(m·K)
W/(m·K)
W/(m·K)
Swap to Btu (IT) foot/hour/sq. foot/°F to Watt/meter/kelvin
Swap to Btu (IT) foot/hour/sq. foot/°F to Watt/meter/kelvin
Btu·ft/(h·ft²·°F)
Btu·ft/(h·ft²·°F) 0.57778932
Quick Values:
Conversion Formula
To convert Watt/meter/kelvin to Btu (IT) foot/hour/sq. foot/°F, multiply by 0.57778932
W/(m·K) × 0.57778932 = Btu·ft/(h·ft²·°F)

Calculation: 1 W/(m·K) × 0.57778932 = 0.57778932 Btu·ft/(h·ft²·°F)

Common Watt/meter/kelvin to Btu (IT) foot/hour/sq. foot/°F Calculations

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

Tap any row to calculate
Watt/meter/kelvin to Btu (IT) foot/hour/sq. foot/°F: Primary Direct Table (15 Steps)
Watt/meter/kelvin to Btu (IT) foot/hour/sq. foot/°F Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 W/(m·K) 0.000577789 Btu·ft/(h·ft²·°F) 5.778 × 10⁻⁴
0.01 W/(m·K) 0.00577789 Btu·ft/(h·ft²·°F) 5.778 × 10⁻³
0.1 W/(m·K) 0.0577789 Btu·ft/(h·ft²·°F) 5.778 × 10⁻²
0.5 W/(m·K) 0.288895 Btu·ft/(h·ft²·°F) 2.889 × 10⁻¹
1 W/(m·K) 0.577789 Btu·ft/(h·ft²·°F) 5.778 × 10⁻¹
2 W/(m·K) 1.155579 Btu·ft/(h·ft²·°F) 1.156 × 10⁰
5 W/(m·K) 2.888947 Btu·ft/(h·ft²·°F) 2.889 × 10⁰
10 W/(m·K) 5.777893 Btu·ft/(h·ft²·°F) 5.778 × 10⁰
20 W/(m·K) 11.555786 Btu·ft/(h·ft²·°F) 1.156 × 10¹
25 W/(m·K) 14.444733 Btu·ft/(h·ft²·°F) 1.444 × 10¹
50 W/(m·K) 28.889466 Btu·ft/(h·ft²·°F) 2.889 × 10¹
100 W/(m·K) 57.778932 Btu·ft/(h·ft²·°F) 5.778 × 10¹
250 W/(m·K) 144.447329 Btu·ft/(h·ft²·°F) 1.444 × 10²
500 W/(m·K) 288.894658 Btu·ft/(h·ft²·°F) 2.889 × 10²
1000 W/(m·K) 577.789317 Btu·ft/(h·ft²·°F) 5.778 × 10²
Btu (IT) foot/hour/sq. foot/°F to Watt/meter/kelvin: Reciprocal Summary
Btu (IT) foot/hour/sq. foot/°F to Watt/meter/kelvin Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 Btu·ft/(h·ft²·°F) 1.730735 W/(m·K) 1.731 × 10⁰
5 Btu·ft/(h·ft²·°F) 8.653673 W/(m·K) 8.654 × 10⁰
10 Btu·ft/(h·ft²·°F) 17.307347 W/(m·K) 1.731 × 10¹
50 Btu·ft/(h·ft²·°F) 86.536733 W/(m·K) 8.654 × 10¹
100 Btu·ft/(h·ft²·°F) 173.073467 W/(m·K) 1.731 × 10²
View Complete 15-Row Btu (IT) foot/hour/sq. foot/°F to Watt/meter/kelvin 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 Watt/meter/kelvin (W/(m·K)) and Btu (IT) foot/hour/sq. foot/°F (Btu·ft/(h·ft²·°F)):

Watt/meter/kelvin References:

  • Stationary atmospheric dry air thermal conductivity at sea level 0.026 W/(m·K)
  • Commercial fiberglass building insulation batt thermal conductivity 0.04 W/(m·K)
  • Liquid drinking water thermal conductivity at room temperature 0.6 W/(m·K)
  • Architectural structural concrete wall thermal conductivity 1.5 W/(m·K)
  • High-purity electrical copper metal heat conductor thermal conductivity 401 W/(m·K)

Btu (IT) foot/hour/sq. foot/°F References:

  • Liquid water thermal conductivity in cooling tower systems 0.35 Btu·ft/(h·ft²·°F)
  • Standard architectural building window float glass panel 0.55 Btu·ft/(h·ft²·°F)
  • Cast aluminum automotive engine cylinder head material 120 Btu·ft/(h·ft²·°F)

Tap any benchmark above to automatically calculate its exact equivalent in Btu (IT) foot/hour/sq. foot/°F.

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

How to Convert Watt/meter/kelvin to Btu (IT) foot/hour/sq. foot/°F

Converting Watt/meter/kelvin (W/(m·K)) to Btu (IT) foot/hour/sq. foot/°F (Btu·ft/(h·ft²·°F)) is a core calculation in Thermal Conductivity, which measures a material's intrinsic capacity to conduct and transfer heat through microscopic collisions. 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 Watt/meter/kelvin equals 0.577789 Btu (IT) foot/hour/sq. foot/°F, while 1 Btu·ft/(h·ft²·°F) equals 1.730735 W/(m·K).

Direct Factor1 W/(m·K) = 0.577789 Btu·ft/(h·ft²·°F)
Inverse Ratio1 Btu·ft/(h·ft²·°F) = 1.730735 W/(m·K)
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 meter kelvin (W/(m·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 W/(m·K) = 1 watt per meter kelvin (W/(m·K))
2. Target SI Bridge (ktarget):1 Btu·ft/(h·ft²·°F) = 1.730735 watt per meter kelvin (W/(m·K))
Step-by-step substitution for Watt/meter/kelvin → Btu (IT) foot/hour/sq. foot/°F:V(Btu·ft/(h·ft²·°F)) = V(W/(m·K)) × ( 1 / 1.730735 ) = V(W/(m·K)) × 0.577789
Mathematical FormulaValue in Btu (IT) foot/hour/sq. foot/°F = Value in Watt/meter/kelvin × 0.57778932Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 8 W/(m·K), applying the conversion factor yields exactly 4.622315 Btu·ft/(h·ft²·°F). At larger operational scale, 5000 Watt/meter/kelvin corresponds to 2888.946583 Btu·ft/(h·ft²·°F).

Inverse check: 1 Btu·ft/(h·ft²·°F) = 1.730735 W/(m·K).

Understanding Watt/meter/kelvin and Btu (IT) foot/hour/sq. foot/°F

Watt/meter/kelvin

W/(m·K)
SI Base Standard

A Watt/meter/kelvin (W/(m·K)) is the official base standard unit for thermal conductivity.

Applications & Practical Context

In practical thermal conductivity terms, a stationary atmospheric dry air thermal conductivity at sea level equals 0.026 W/(m·K), a commercial fiberglass building insulation batt thermal conductivity equals 0.04 W/(m·K), a liquid drinking water thermal conductivity at room temperature equals 0.6 W/(m·K).

Physical Setup

A thermal conductivity of 1 W/(m·K) produces a steady heat flow rate of 1 watt across a 1-meter thickness with a 1-kelvin gradient.

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

Btu (IT) foot/hour/sq. foot/°F

Btu·ft/(h·ft²·°F)
Imperial / US

A Btu (IT) foot/hour/sq. foot/°F (Btu·ft/(h·ft²·°F)) is an imperial and US customary unit for thermal conductivity.

Applications & Practical Context

In practical thermal conductivity terms, a liquid water thermal conductivity in cooling tower systems equals 0.35 Btu·ft/(h·ft²·°F), a standard architectural building window float glass panel equals 0.55 Btu·ft/(h·ft²·°F), a cast aluminum automotive engine cylinder head material equals 120 Btu·ft/(h·ft²·°F).

Physical Setup

A physical magnitude of 1 Btu·ft/(h·ft²·°F) corresponds to 1.730735 W/(m·K) in standard SI measurement.

Conversion to SI Unit: watt per meter kelvin (W/(m·K))
1 Btu·ft/(h·ft²·°F) = 1.730735 W/(m·K)

Domain Metrology & Engineering Applications

Governing Law & Equation

Fourier's Law of Heat Conduction (q = -k · ∇T)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using guarded hot plate apparatus (ASTM C177), laser flash thermal diffusivity analyzers, and transient plane source (TPS) sensors.

Primary Industry Sectors

Applied across thermal interface material (TIM) development, architectural insulation manufacturing, aerospace heat shield design, and refractory ceramics under international metrology standard ISO 80000-5:2019, ASTM C177.

Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-5:2019, ASTM C177 and the BIPM SI Brochure (9th Edition). Governed by Fourier's Law of Heat Conduction (q = -k · ∇T) under ISO 80000 dimensional vector [M L T⁻³ Θ⁻¹].

Multi-Variable Engineering Bridge Heat Transfer & Conduction Physics

Thermal Conductivity to Heat Flux Density Bridge (W/m² • kW/m² • BTU/(h·ft²) • cal/(s·cm²))

Calculate Fourier conduction heat flux q" = k × ∇T across building envelopes and industrial heat exchangers, bridging thermal conductivity [M L T⁻³ Θ⁻¹] with heat flux density [M T⁻³].

q" = k × ∇T
Vector: [W/(m·K)] × [K/m] → [W/m²]
Live Calculated Bridge Equivalent:
1 W/(m·K) at Insulated Wall Core (20K across 0.1m = 200 K/m) = 200 W/m²
Equals 0.2 kW/m² • 63.3997 BTU/(h·ft²) • 0.00477692 cal/(s·cm²)
SI Heat Flux
200
W/m²
Watts per Square Meter
Solar / Combustion
0.2
kW/m²
Kilowatts per Square Meter
US Building Envelope
63.3997
BTU/(h·ft²)
BTU per Hour Sq. Foot
CGS Thermal
0.00477692
cal/(s·cm²)
Calories per Second Sq. Cm
Meteorology
0.2867
Ly/min
Langley per Minute
Furnace Flux
0.0002
MW/m²
Megawatts per Square Meter
  1. 1. Normalize Input to SI Base Unit (W/(m·K)):
    k = 1 W/(m·K) × 1 = 1 W/(m·K)
  2. 2. Apply Engineering Parameter (∇T):
    Selected condition: Insulated Wall Core (20K across 0.1m = 200 K/m) at ∇T = 200 K/m
  3. 3. Execute Governing Physical Law in SI Units:
    q" = k × ∇T = (1 W/(m·K)) × (200 K/m) = 200 W/m²
  4. 4. Convert to Standard Engineering Units:
    • W/m²: 200 × 1 = 200 W/m² (Watts per Square Meter) • kW/m²: 200 × 0.001 = 0.2 kW/m² (Kilowatts per Square Meter) • BTU/(h·ft²): 200 × 0.317 = 63.3997 BTU/(h·ft²) (BTU per Hour Sq. Foot) • cal/(s·cm²): 200 × 2.3885 × 10⁻⁵ = 0.00477692 cal/(s·cm²) (Calories per Second Sq. Cm) • Ly/min: 200 × 0.001433 = 0.2867 Ly/min (Langley per Minute) • MW/m²: 200 × 1 × 10⁻⁶ = 0.0002 MW/m² (Megawatts per Square Meter)
Explore Full Heat Flux Density Converter →
Engineering Substance / Operating Standard Parameter Value (K/m) Reference State / Condition Typical Industrial & Engineering Application
Insulated Wall Core (20K across 0.1m = 200 K/m) 200 200 K/m Standard residential fiberglass/mineral wool batt
Solid Brick Masonry (25K across 0.25m = 100 K/m) 100 100 K/m Architectural structural brick veneer wall
Steam Boiler Tube Wall (100K across 0.005m = 20,000 K/m) 20000 20,000 K/m Carbon steel heat recovery steam boiler tube
CPU Copper Heat Spreader (30K across 0.002m = 15,000 K/m) 15000 15,000 K/m Semiconductor thermal interface heat spreader
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Frequently Asked Questions

There are exactly 0.57778932 btu (it) feet/hour/sq. foot/°f (Btu·ft/(h·ft²·°F)) in 1 watt/meter/kelvin (W/(m·K)). To calculate larger amounts manually, simply multiply your total number of watts/meter/kelvin by the conversion multiplier of 0.57778932.

The mathematical formula to convert watts/meter/kelvin to btu (it) feet/hour/sq. foot/°f is: [value] * 0.57778932 = btu (it) feet/hour/sq. foot/°f. 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 btu (it) feet/hour/sq. foot/°f back to watts/meter/kelvin, you must divide your starting value by 0.57778932. Our bidirectional tool automatically computes this inverse equation the moment you type into the btu (it) foot/hour/sq. foot/°f input field.

1 Btu (IT) foot/hour/sq. foot/°F is larger than 1 Watt/meter/kelvin. Specifically, 1 Watt/meter/kelvin equals 0.57778932 btu (it) feet/hour/sq. foot/°f, meaning 1 Btu (IT) foot/hour/sq. foot/°F is 1.7307 times larger than 1 Watt/meter/kelvin (a difference of 0.24 orders of magnitude). Expressing measurements in watts/meter/kelvin requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 Watt/meter/kelvin converts to 0.57778932 btu (it) feet/hour/sq. foot/°f. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.