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

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1 BTU (th) inch/hour/sq. foot/°F = 0.1441314 Watt/meter/kelvin

1 Btu (th)·in/(h·ft²·°F) = 0.144131 W/(m·K) • 1 W/(m·K) = 6.938113 Btu (th)·in/(h·ft²·°F)

Decimals:

Certified Authority Value

0.14413140

W/(m·K)

From / Input

Btu (th)·in/(h·ft²·°F)

Swap to Watt/meter/kelvin to BTU (th) inch/hour/sq. foot/°F

To / Result

W/(m·K)

Quick Values:

Conversion Formula

To convert BTU (th) inch/hour/sq. foot/°F to Watt/meter/kelvin, multiply by 0.1441314

Btu (th)·in/(h·ft²·°F) × 0.1441314 = W/(m·K)

Calculation: 1 Btu (th)·in/(h·ft²·°F) × 0.1441314 = 0.1441314 W/(m·K)

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

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

Tap any row to calculate

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

Rule: 1 BTU (th) inch/hour/sq. foot/°F is equal to 0.144131 W/(m·K) (Watt/meter/kelvin)

BTU (th) inch/hour/sq. foot/°F to Watt/meter/kelvin Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 Btu (th)·in/(h·ft²·°F) 0.000144131 W/(m·K)	1.441 × 10⁻⁴
0.01 Btu (th)·in/(h·ft²·°F) 0.00144131 W/(m·K)	1.441 × 10⁻³
0.1 Btu (th)·in/(h·ft²·°F) 0.0144131 W/(m·K)	1.441 × 10⁻²
0.5 Btu (th)·in/(h·ft²·°F) 0.0720657 W/(m·K)	7.207 × 10⁻²
1 Btu (th)·in/(h·ft²·°F) 0.144131 W/(m·K)	1.441 × 10⁻¹
2 Btu (th)·in/(h·ft²·°F) 0.288263 W/(m·K)	2.883 × 10⁻¹
5 Btu (th)·in/(h·ft²·°F) 0.720657 W/(m·K)	7.207 × 10⁻¹
10 Btu (th)·in/(h·ft²·°F) 1.441314 W/(m·K)	1.441 × 10⁰
20 Btu (th)·in/(h·ft²·°F) 2.882628 W/(m·K)	2.883 × 10⁰
25 Btu (th)·in/(h·ft²·°F) 3.603285 W/(m·K)	3.603 × 10⁰
50 Btu (th)·in/(h·ft²·°F) 7.20657 W/(m·K)	7.207 × 10⁰
100 Btu (th)·in/(h·ft²·°F) 14.41314 W/(m·K)	1.441 × 10¹
250 Btu (th)·in/(h·ft²·°F) 36.03285 W/(m·K)	3.603 × 10¹
500 Btu (th)·in/(h·ft²·°F) 72.0657 W/(m·K)	7.207 × 10¹
1000 Btu (th)·in/(h·ft²·°F) 144.1314 W/(m·K)	1.441 × 10²

Watt/meter/kelvin to BTU (th) inch/hour/sq. foot/°F: Reciprocal Summary

Rule: 1 Watt/meter/kelvin is equal to 6.938113 Btu (th)·in/(h·ft²·°F) (BTU (th) inch/hour/sq. foot/°F)

Watt/meter/kelvin to BTU (th) inch/hour/sq. foot/°F Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 W/(m·K) 6.938113 Btu (th)·in/(h·ft²·°F)	6.938 × 10⁰
5 W/(m·K) 34.690567 Btu (th)·in/(h·ft²·°F)	3.469 × 10¹
10 W/(m·K) 69.381134 Btu (th)·in/(h·ft²·°F)	6.938 × 10¹
50 W/(m·K) 346.905671 Btu (th)·in/(h·ft²·°F)	3.469 × 10²
100 W/(m·K) 693.811342 Btu (th)·in/(h·ft²·°F)	6.938 × 10²

View Complete 15-Row Watt/meter/kelvin to BTU (th) inch/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) inch/hour/sq. foot/°F (Btu (th)·in/(h·ft²·°F)) and Watt/meter/kelvin (W/(m·K)):

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

Stationary atmospheric dry air thermal conductivity at sea level 0.180391 Btu (th)·in/(h·ft²·°F)
Commercial fiberglass building insulation batt thermal conductivity 0.277525 Btu (th)·in/(h·ft²·°F)
Liquid drinking water thermal conductivity at room temperature 4.1629 Btu (th)·in/(h·ft²·°F)
Architectural structural concrete wall thermal conductivity 10.4072 Btu (th)·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)

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

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

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

Converting BTU (th) inch/hour/sq. foot/°F (Btu (th)·in/(h·ft²·°F)) to Watt/meter/kelvin (W/(m·K)) 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 BTU (th) inch/hour/sq. foot/°F equals 0.144131 Watt/meter/kelvin, while 1 W/(m·K) equals 6.938113 Btu (th)·in/(h·ft²·°F).

Direct Factor1 Btu (th)·in/(h·ft²·°F) = 0.144131 W/(m·K)

Inverse Ratio1 W/(m·K) = 6.938113 Btu (th)·in/(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 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 Btu (th)·in/(h·ft²·°F) = 0.144131 watt per meter kelvin (W/(m·K))

2. Target SI Bridge (k_target):1 W/(m·K) = 1 watt per meter kelvin (W/(m·K))

Step-by-step substitution for BTU (th) inch/hour/sq. foot/°F → Watt/meter/kelvin:V(W/(m·K)) = V(Btu (th)·in/(h·ft²·°F)) × ( 0.144131 / 1 ) = V(Btu (th)·in/(h·ft²·°F)) × 0.144131

Mathematical FormulaValue in Watt/meter/kelvin = Value in BTU (th) inch/hour/sq. foot/°F × 0.1441314Direct computational formula applied for standard conversion.

Worked Example

Evaluating an input of 24 BTU (th) inch/hour/sq. foot/°F (Btu (th)·in/(h·ft²·°F)) produces 3.459154 Watt/meter/kelvin (W/(m·K)). In heavy-duty utility and industrial workloads, 240 Btu (th)·in/(h·ft²·°F) equals 34.591536 W/(m·K).

Inverse check: 1 W/(m·K) = 6.938113 Btu (th)·in/(h·ft²·°F).

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

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): Btu (th)·in/(h·ft²·°F)

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 Btu (th)·in/(h·ft²·°F) at Insulated Wall Core (20K across 0.1m = 200 K/m) = 28.8263 W/m²

Equals 0.02883 kW/m² • 9.1379 BTU/(h·ft²) • 0.0006885 cal/(s·cm²)

SI Heat Flux

28.8263

W/m²

Watts per Square Meter

Solar / Combustion

0.02883

kW/m²

Kilowatts per Square Meter

US Building Envelope

9.1379

BTU/(h·ft²)

BTU per Hour Sq. Foot

CGS Thermal

0.0006885

cal/(s·cm²)

Calories per Second Sq. Cm

Meteorology

0.04132

Ly/min

Langley per Minute

Furnace Flux

2.882628 × 10⁻⁵

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 Btu (th)·in/(h·ft²·°F) × 0.1441314 = 0.1441314 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 = (0.1441314 W/(m·K)) × (200 K/m) = 28.82628 W/m²
4. Convert to Standard Engineering Units:
• W/m²: 28.82628 × 1 = 28.8263 W/m² (Watts per Square Meter) • kW/m²: 28.82628 × 0.001 = 0.02883 kW/m² (Kilowatts per Square Meter) • BTU/(h·ft²): 28.82628 × 0.317 = 9.1379 BTU/(h·ft²) (BTU per Hour Sq. Foot) • cal/(s·cm²): 28.82628 × 2.3885 × 10⁻⁵ = 0.0006885 cal/(s·cm²) (Calories per Second Sq. Cm) • Ly/min: 28.82628 × 0.001433 = 0.04132 Ly/min (Langley per Minute) • MW/m²: 28.82628 × 1 × 10⁻⁶ = 2.882628 × 10⁻⁵ 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 0.1441314 watts/meter/kelvin (W/(m·K)) in 1 btu (th) inch/hour/sq. foot/°f (Btu (th)·in/(h·ft²·°F)). To calculate larger amounts manually, simply multiply your total number of btu (th) inches/hour/sq. foot/°f by the conversion multiplier of 0.1441314.

The mathematical formula to convert btu (th) inches/hour/sq. foot/°f to watts/meter/kelvin is: [value] * 0.1441314 = watts/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/meter/kelvin back to btu (th) inches/hour/sq. foot/°f, you must divide your starting value by 0.1441314. Our bidirectional tool automatically computes this inverse equation the moment you type into the watt/meter/kelvin input field.

1 Watt/meter/kelvin is larger than 1 BTU (th) inch/hour/sq. foot/°F. Specifically, 1 BTU (th) inch/hour/sq. foot/°F equals 0.1441314 watts/meter/kelvin, meaning 1 Watt/meter/kelvin is 6.9381 times larger than 1 BTU (th) inch/hour/sq. foot/°F (a difference of 0.84 orders of magnitude). Expressing measurements in btu (th) inches/hour/sq. foot/°f requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 BTU (th) inch/hour/sq. foot/°F converts to 0.1441314 watts/meter/kelvin. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.