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

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1 Watt/meter/kelvin = 6.93347 Btu inch/hour/sq. foot/°F

1 W/(m·K) = 6.93347 Btu·in/(h·ft²·°F) • 1 Btu·in/(h·ft²·°F) = 0.144228 W/(m·K)

Decimals:

Certified Authority Value

6.93347000

Btu·in/(h·ft²·°F)

From / Input

W/(m·K)

Swap to Btu inch/hour/sq. foot/°F to Watt/meter/kelvin

To / Result

Btu·in/(h·ft²·°F)

Quick Values:

Conversion Formula

To convert Watt/meter/kelvin to Btu inch/hour/sq. foot/°F, multiply by 6.93347

W/(m·K) × 6.93347 = Btu·in/(h·ft²·°F)

Calculation: 1 W/(m·K) × 6.93347 = 6.93347 Btu·in/(h·ft²·°F)

Common Watt/meter/kelvin to Btu inch/hour/sq. foot/°F Calculations

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

Tap any row to calculate

Watt/meter/kelvin to Btu inch/hour/sq. foot/°F: Primary Direct Table (15 Steps)

Rule: 1 Watt/meter/kelvin is equal to 6.93347 Btu·in/(h·ft²·°F) (Btu inch/hour/sq. foot/°F)

Watt/meter/kelvin to Btu inch/hour/sq. foot/°F Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 W/(m·K) 0.00693347 Btu·in/(h·ft²·°F)	6.933 × 10⁻³
0.01 W/(m·K) 0.0693347 Btu·in/(h·ft²·°F)	6.933 × 10⁻²
0.1 W/(m·K) 0.693347 Btu·in/(h·ft²·°F)	6.933 × 10⁻¹
0.5 W/(m·K) 3.466735 Btu·in/(h·ft²·°F)	3.467 × 10⁰
1 W/(m·K) 6.93347 Btu·in/(h·ft²·°F)	6.933 × 10⁰
2 W/(m·K) 13.86694 Btu·in/(h·ft²·°F)	1.387 × 10¹
5 W/(m·K) 34.66735 Btu·in/(h·ft²·°F)	3.467 × 10¹
10 W/(m·K) 69.3347 Btu·in/(h·ft²·°F)	6.933 × 10¹
20 W/(m·K) 138.6694 Btu·in/(h·ft²·°F)	1.387 × 10²
25 W/(m·K) 173.33675 Btu·in/(h·ft²·°F)	1.733 × 10²
50 W/(m·K) 346.6735 Btu·in/(h·ft²·°F)	3.467 × 10²
100 W/(m·K) 693.347 Btu·in/(h·ft²·°F)	6.933 × 10²
250 W/(m·K) 1733.3675 Btu·in/(h·ft²·°F)	1.733 × 10³
500 W/(m·K) 3466.735 Btu·in/(h·ft²·°F)	3.467 × 10³
1000 W/(m·K) 6933.47 Btu·in/(h·ft²·°F)	6.933 × 10³

Btu inch/hour/sq. foot/°F to Watt/meter/kelvin: Reciprocal Summary

Rule: 1 Btu inch/hour/sq. foot/°F is equal to 0.144228 W/(m·K) (Watt/meter/kelvin)

Btu inch/hour/sq. foot/°F to Watt/meter/kelvin Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 Btu·in/(h·ft²·°F) 0.144228 W/(m·K)	1.442 × 10⁻¹
5 Btu·in/(h·ft²·°F) 0.72114 W/(m·K)	7.211 × 10⁻¹
10 Btu·in/(h·ft²·°F) 1.442279 W/(m·K)	1.442 × 10⁰
50 Btu·in/(h·ft²·°F) 7.211396 W/(m·K)	7.211 × 10⁰
100 Btu·in/(h·ft²·°F) 14.422793 W/(m·K)	1.442 × 10¹

View Complete 15-Row Btu inch/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 inch/hour/sq. foot/°F (Btu·in/(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 inch/hour/sq. foot/°F References:

Stationary atmospheric dry air thermal conductivity at sea level 0.18027 Btu·in/(h·ft²·°F)
Commercial fiberglass building insulation batt thermal conductivity 0.277339 Btu·in/(h·ft²·°F)
Liquid drinking water thermal conductivity at room temperature 4.1601 Btu·in/(h·ft²·°F)
Architectural structural concrete wall thermal conductivity 10.4002 Btu·in/(h·ft²·°F)

Tap any benchmark above to automatically calculate its exact equivalent in Btu 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/kelvin to Btu inch/hour/sq. foot/°F

Converting Watt/meter/kelvin (W/(m·K)) to Btu inch/hour/sq. foot/°F (Btu·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/kelvin equals 6.93347 Btu inch/hour/sq. foot/°F, while 1 Btu·in/(h·ft²·°F) equals 0.144228 W/(m·K).

Direct Factor1 W/(m·K) = 6.93347 Btu·in/(h·ft²·°F)

Inverse Ratio1 Btu·in/(h·ft²·°F) = 0.144228 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:

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 (k_source):1 W/(m·K) = 1 watt per meter kelvin (W/(m·K))

2. Target SI Bridge (k_target):1 Btu·in/(h·ft²·°F) = 0.144228 watt per meter kelvin (W/(m·K))

Step-by-step substitution for Watt/meter/kelvin → Btu inch/hour/sq. foot/°F:V(Btu·in/(h·ft²·°F)) = V(W/(m·K)) × ( 1 / 0.144228 ) = V(W/(m·K)) × 6.93347

Mathematical FormulaValue in Btu inch/hour/sq. foot/°F = Value in Watt/meter/kelvin × 6.93347Direct computational formula applied for standard conversion.

Worked Example

Converting 75 W/(m·K) yields an exact output of 520.01025 Btu·in/(h·ft²·°F) in Btu inch/hour/sq. foot/°F. Under higher industrial throughput, 100 W/(m·K) translates to 693.347 Btu·in/(h·ft²·°F).

Inverse check: 1 Btu·in/(h·ft²·°F) = 0.144228 W/(m·K).

Understanding Watt/meter/kelvin and Btu inch/hour/sq. foot/°F

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].

Input Thermal Conductivity (k): W/(m·K)

Select Temperature Gradient Through Wall (ΔT / L): 200 K/m

Governing Law: 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

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (W/(m·K)):
k = 1 W/(m·K) × 1 = 1 W/(m·K)
2. Apply Engineering Parameter (∇T):
Selected condition: Insulated Wall Core (20K across 0.1m = 200 K/m) at ∇T = 200 K/m
3. Execute Governing Physical Law in SI Units:
q" = k × ∇T = (1 W/(m·K)) × (200 K/m) = 200 W/m²
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

Frequently Asked Questions

There are exactly 6.93347 btu inches/hour/sq. foot/°f (Btu·in/(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 6.93347.

The mathematical formula to convert watts/meter/kelvin to btu inches/hour/sq. foot/°f is: [value] * 6.93347 = btu 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 inches/hour/sq. foot/°f back to watts/meter/kelvin, you must divide your starting value by 6.93347. Our bidirectional tool automatically computes this inverse equation the moment you type into the btu inch/hour/sq. foot/°f input field.

1 Watt/meter/kelvin is larger than 1 Btu inch/hour/sq. foot/°F. Specifically, 1 Watt/meter/kelvin equals exactly 6.93347 btu inches/hour/sq. foot/°f, making it 6.9335 times larger (a difference of 0.84 orders of magnitude). Therefore, quantities expressed in btu inches/hour/sq. foot/°f require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Watt/meter/kelvin converts to 6.93347 btu inches/hour/sq. foot/°f. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.