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Watts/meter/degree Celsius to Btu (th) Inches/hour/sq. foot/°F Converter (W/(m·°C) to Btu (th)·in/(h·ft²·°F))

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1 Watt/meter/degree Celsius = 6.93811179 Btu (th) inch/hour/sq. foot/°F
1 W/(m·°C) = 6.938112 Btu (th)·in/(h·ft²·°F) • 1 Btu (th)·in/(h·ft²·°F) = 0.144131 W/(m·°C)
Watt/meter/degree Celsius to Btu (th) inch/hour/sq. foot/°F: One Watt/meter/degree Celsius is equal to 6.93811179 Btu (th) Inches/hour/sq. foot/°F.
Certified Authority Value
6.93811179
Btu (th)·in/(h·ft²·°F)
Exact: 1 Btu (th)·in/(h·ft²·°F) ≡ 0.1441314338 W/(m·°C)
W/(m·°C)
W/(m·°C)
Swap to Btu (th) inch/hour/sq. foot/°F to Watt/meter/degree Celsius
Swap to Btu (th) inch/hour/sq. foot/°F to Watt/meter/degree Celsius
Btu (th)·in/(h·ft²·°F)
Btu (th)·in/(h·ft²·°F) 6.93811179
Quick Values:
Conversion Formula
To convert Watt/meter/degree Celsius to Btu (th) inch/hour/sq. foot/°F, multiply by 6.93811179
W/(m·°C) × 6.93811179 = Btu (th)·in/(h·ft²·°F)

Calculation: 1 W/(m·°C) × 6.93811179 = 6.93811179 Btu (th)·in/(h·ft²·°F)

Common Watt/meter/degree Celsius to Btu (th) inch/hour/sq. foot/°F Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Watt/meter/degree Celsius (W/(m·°C)) and Btu (th) inch/hour/sq. foot/°F (Btu (th)·in/(h·ft²·°F)).

Tap any row to calculate
Watt/meter/degree Celsius to Btu (th) inch/hour/sq. foot/°F: Primary Direct Table (15 Steps)
Watt/meter/degree Celsius to Btu (th) inch/hour/sq. foot/°F Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 W/(m·°C) 0.00693811 Btu (th)·in/(h·ft²·°F) 6.938 × 10⁻³
0.01 W/(m·°C) 0.0693811 Btu (th)·in/(h·ft²·°F) 6.938 × 10⁻²
0.1 W/(m·°C) 0.693811 Btu (th)·in/(h·ft²·°F) 6.938 × 10⁻¹
0.5 W/(m·°C) 3.469056 Btu (th)·in/(h·ft²·°F) 3.469 × 10⁰
1 W/(m·°C) 6.938112 Btu (th)·in/(h·ft²·°F) 6.938 × 10⁰
2 W/(m·°C) 13.876224 Btu (th)·in/(h·ft²·°F) 1.388 × 10¹
5 W/(m·°C) 34.690559 Btu (th)·in/(h·ft²·°F) 3.469 × 10¹
10 W/(m·°C) 69.381118 Btu (th)·in/(h·ft²·°F) 6.938 × 10¹
20 W/(m·°C) 138.762236 Btu (th)·in/(h·ft²·°F) 1.388 × 10²
25 W/(m·°C) 173.452795 Btu (th)·in/(h·ft²·°F) 1.735 × 10²
50 W/(m·°C) 346.905589 Btu (th)·in/(h·ft²·°F) 3.469 × 10²
100 W/(m·°C) 693.811179 Btu (th)·in/(h·ft²·°F) 6.938 × 10²
250 W/(m·°C) 1734.527947 Btu (th)·in/(h·ft²·°F) 1.735 × 10³
500 W/(m·°C) 3469.055895 Btu (th)·in/(h·ft²·°F) 3.469 × 10³
1000 W/(m·°C) 6938.111789 Btu (th)·in/(h·ft²·°F) 6.938 × 10³
Btu (th) inch/hour/sq. foot/°F to Watt/meter/degree Celsius: Reciprocal Summary
Btu (th) inch/hour/sq. foot/°F to Watt/meter/degree Celsius Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 Btu (th)·in/(h·ft²·°F) 0.144131 W/(m·°C) 1.441 × 10⁻¹
5 Btu (th)·in/(h·ft²·°F) 0.720657 W/(m·°C) 7.207 × 10⁻¹
10 Btu (th)·in/(h·ft²·°F) 1.441314 W/(m·°C) 1.441 × 10⁰
50 Btu (th)·in/(h·ft²·°F) 7.206572 W/(m·°C) 7.207 × 10⁰
100 Btu (th)·in/(h·ft²·°F) 14.413143 W/(m·°C) 1.441 × 10¹
View Complete 15-Row Btu (th) inch/hour/sq. foot/°F to Watt/meter/degree Celsius 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/degree Celsius (W/(m·°C)) and Btu (th) inch/hour/sq. foot/°F (Btu (th)·in/(h·ft²·°F)):

Watt/meter/degree Celsius References:

  • Standard thermal insulation polyurethane foam panel conductivity 0.022 W/(m·°C)
  • Common building window pane float glass thermal conductivity 0.96 W/(m·°C)

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

  • Rigid extruded polystyrene XPS foam thermal insulation panel 0.2 Btu (th)·in/(h·ft²·°F)

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

Converting Watt/meter/degree Celsius (W/(m·°C)) to Btu (th) inch/hour/sq. foot/°F (Btu (th)·in/(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/degree Celsius equals 6.938112 Btu (th) inch/hour/sq. foot/°F, while 1 Btu (th)·in/(h·ft²·°F) equals 0.144131 W/(m·°C).

Direct Factor1 W/(m·°C) = 6.938112 Btu (th)·in/(h·ft²·°F)
Inverse Ratio1 Btu (th)·in/(h·ft²·°F) = 0.144131 W/(m·°C)
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·°C) = 1 watt per meter kelvin (W/(m·K))
2. Target SI Bridge (ktarget):1 Btu (th)·in/(h·ft²·°F) = 0.144131 watt per meter kelvin (W/(m·K))
Step-by-step substitution for Watt/meter/degree Celsius → Btu (th) inch/hour/sq. foot/°F:V(Btu (th)·in/(h·ft²·°F)) = V(W/(m·°C)) × ( 1 / 0.144131 ) = V(W/(m·°C)) × 6.938112
Mathematical FormulaValue in Btu (th) inch/hour/sq. foot/°F = Value in Watt/meter/degree Celsius × 6.93811179Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 250 W/(m·°C), applying the conversion factor yields exactly 1734.527947 Btu (th)·in/(h·ft²·°F). At larger operational scale, 2500 Watt/meter/degree Celsius corresponds to 17345.279473 Btu (th)·in/(h·ft²·°F).

Inverse check: 1 Btu (th)·in/(h·ft²·°F) = 0.144131 W/(m·°C).

Understanding Watt/meter/degree Celsius and Btu (th) inch/hour/sq. foot/°F

Watt/meter/degree Celsius

W/(m·°C)
Standard Unit

A Watt/meter/degree Celsius (W/(m·°C)) is a recognized unit for thermal conductivity.

Applications & Practical Context

In practical thermal conductivity terms, a standard thermal insulation polyurethane foam panel conductivity equals 0.022 W/(m·°C), a common building window pane float glass thermal conductivity equals 0.96 W/(m·°C).

Physical Setup

A thermal conductivity of 1 W/(m·°C) 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·°C) = 1 W/(m·K)

Btu (th) inch/hour/sq. foot/°F

Btu (th)·in/(h·ft²·°F)
Imperial / US

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

Applications & Practical Context

In practical thermal conductivity terms, a rigid extruded polystyrene XPS foam thermal insulation panel equals 0.2 Btu (th)·in/(h·ft²·°F).

Physical Setup

A physical magnitude of 1 Btu (th)·in/(h·ft²·°F) corresponds to 0.144131 W/(m·K) in standard SI measurement.

Conversion to SI Unit: watt per meter kelvin (W/(m·K))
1 Btu (th)·in/(h·ft²·°F) = 0.144131 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·°C) 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·°C) × 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 6.93811179 btu (th) inches/hour/sq. foot/°f (Btu (th)·in/(h·ft²·°F)) in 1 watt/meter/degree celsius (W/(m·°C)). To calculate larger amounts manually, simply multiply your total number of watts/meter/degree celsius by the conversion multiplier of 6.93811179.

The mathematical formula to convert watts/meter/degree celsius to btu (th) inches/hour/sq. foot/°f is: [value] * 6.93811179 = btu (th) inches/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 (th) inches/hour/sq. foot/°f back to watts/meter/degree celsius, you must divide your starting value by 6.93811179. Our bidirectional tool automatically computes this inverse equation the moment you type into the btu (th) inch/hour/sq. foot/°f input field.

1 Watt/meter/degree Celsius is larger than 1 Btu (th) inch/hour/sq. foot/°F. Specifically, 1 Watt/meter/degree Celsius equals exactly 6.93811179 btu (th) inches/hour/sq. foot/°f, making it 6.9381 times larger (a difference of 0.84 orders of magnitude). Therefore, quantities expressed in btu (th) inches/hour/sq. foot/°f require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Watt/meter/degree Celsius converts to 6.93811179 btu (th) inches/hour/sq. foot/°f. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.