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

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1 Kilowatt/meter/kelvin = 6938.1117892 Btu (th) inch/hour/sq. foot/°F
1 kW/(m·K) = 6938.111789 Btu (th)·in/(h·ft²·°F) • 1 Btu (th)·in/(h·ft²·°F) = 0.000144131 kW/(m·K)
Kilowatt/meter/kelvin to Btu (th) inch/hour/sq. foot/°F: One Kilowatt/meter/kelvin is equal to 6938.1117892 Btu (th) Inches/hour/sq. foot/°F.
Certified Authority Value
6938.11178920
Btu (th)·in/(h·ft²·°F)
Exact: 1 Btu (th)·in/(h·ft²·°F) ≡ 0.0001441314338 kW/(m·K)
kW/(m·K)
kW/(m·K)
Swap to Btu (th) inch/hour/sq. foot/°F to Kilowatt/meter/kelvin
Swap to Btu (th) inch/hour/sq. foot/°F to Kilowatt/meter/kelvin
Btu (th)·in/(h·ft²·°F)
Btu (th)·in/(h·ft²·°F) 6938.1117892
Quick Values:
Conversion Formula
To convert Kilowatt/meter/kelvin to Btu (th) inch/hour/sq. foot/°F, multiply by 6938.1117892
kW/(m·K) × 6938.1117892 = Btu (th)·in/(h·ft²·°F)

Calculation: 1 kW/(m·K) × 6938.1117892 = 6938.1117892 Btu (th)·in/(h·ft²·°F)

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

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

Tap any row to calculate
Kilowatt/meter/kelvin to Btu (th) inch/hour/sq. foot/°F: Primary Direct Table (15 Steps)
Kilowatt/meter/kelvin to Btu (th) inch/hour/sq. foot/°F Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 kW/(m·K) 6.938112 Btu (th)·in/(h·ft²·°F) 6.938 × 10⁰
0.01 kW/(m·K) 69.381118 Btu (th)·in/(h·ft²·°F) 6.938 × 10¹
0.1 kW/(m·K) 693.811179 Btu (th)·in/(h·ft²·°F) 6.938 × 10²
0.5 kW/(m·K) 3469.055895 Btu (th)·in/(h·ft²·°F) 3.469 × 10³
1 kW/(m·K) 6938.111789 Btu (th)·in/(h·ft²·°F) 6.938 × 10³
2 kW/(m·K) 13876.223578 Btu (th)·in/(h·ft²·°F) 1.388 × 10⁴
5 kW/(m·K) 34690.558946 Btu (th)·in/(h·ft²·°F) 3.469 × 10⁴
10 kW/(m·K) 69381.117892 Btu (th)·in/(h·ft²·°F) 6.938 × 10⁴
20 kW/(m·K) 138762.235784 Btu (th)·in/(h·ft²·°F) 1.388 × 10⁵
25 kW/(m·K) 173452.79473 Btu (th)·in/(h·ft²·°F) 1.735 × 10⁵
50 kW/(m·K) 346905.58946 Btu (th)·in/(h·ft²·°F) 3.469 × 10⁵
100 kW/(m·K) 693811.17892 Btu (th)·in/(h·ft²·°F) 6.938 × 10⁵
250 kW/(m·K) 1734527.947301 Btu (th)·in/(h·ft²·°F) 1.735 × 10⁶
500 kW/(m·K) 3469055.894602 Btu (th)·in/(h·ft²·°F) 3.469 × 10⁶
1000 kW/(m·K) 6938111.789203 Btu (th)·in/(h·ft²·°F) 6.938 × 10⁶
Btu (th) inch/hour/sq. foot/°F to Kilowatt/meter/kelvin: Reciprocal Summary
Btu (th) inch/hour/sq. foot/°F to Kilowatt/meter/kelvin Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 Btu (th)·in/(h·ft²·°F) 0.000144131 kW/(m·K) 1.441 × 10⁻⁴
5 Btu (th)·in/(h·ft²·°F) 0.000720657 kW/(m·K) 7.207 × 10⁻⁴
10 Btu (th)·in/(h·ft²·°F) 0.00144131 kW/(m·K) 1.441 × 10⁻³
50 Btu (th)·in/(h·ft²·°F) 0.00720657 kW/(m·K) 7.207 × 10⁻³
100 Btu (th)·in/(h·ft²·°F) 0.0144131 kW/(m·K) 1.441 × 10⁻²
View Complete 15-Row Btu (th) inch/hour/sq. foot/°F to Kilowatt/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 Kilowatt/meter/kelvin (kW/(m·K)) and Btu (th) inch/hour/sq. foot/°F (Btu (th)·in/(h·ft²·°F)):

Kilowatt/meter/kelvin References:

  • Industrial high-temperature heat pipe ultra-conductive core 20 kW/(m·K)
  • Graphene monocrystal in-plane acoustic phonon conductivity 4 kW/(m·K)

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 Kilowatt/meter/kelvin to Btu (th) inch/hour/sq. foot/°F

Converting Kilowatt/meter/kelvin (kW/(m·K)) 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 Kilowatt/meter/kelvin equals 6938.111789 Btu (th) inch/hour/sq. foot/°F, while 1 Btu (th)·in/(h·ft²·°F) equals 0.000144131 kW/(m·K).

Direct Factor1 kW/(m·K) = 6938.111789 Btu (th)·in/(h·ft²·°F)
Inverse Ratio1 Btu (th)·in/(h·ft²·°F) = 0.000144131 kW/(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 kW/(m·K) = 1000 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 Kilowatt/meter/kelvin → Btu (th) inch/hour/sq. foot/°F:V(Btu (th)·in/(h·ft²·°F)) = V(kW/(m·K)) × ( 1000 / 0.144131 ) = V(kW/(m·K)) × 6938.111789
Mathematical FormulaValue in Btu (th) inch/hour/sq. foot/°F = Value in Kilowatt/meter/kelvin × 6938.1117892Direct computational formula applied for standard conversion.
Worked Example

Converting 75 kW/(m·K) yields an exact output of 520358.38419 Btu (th)·in/(h·ft²·°F) in Btu (th) inch/hour/sq. foot/°F. Under higher industrial throughput, 2500 kW/(m·K) translates to 1.734528 × 10⁷ Btu (th)·in/(h·ft²·°F).

Inverse check: 1 Btu (th)·in/(h·ft²·°F) = 0.000144131 kW/(m·K).

Understanding Kilowatt/meter/kelvin and Btu (th) inch/hour/sq. foot/°F

Kilowatt/meter/kelvin

kW/(m·K)
SI Multiple

A Kilowatt/meter/kelvin (kW/(m·K)) is a decimal multiple of the SI-derived unit for thermal conductivity.

Applications & Practical Context

In practical thermal conductivity terms, a industrial high-temperature heat pipe ultra-conductive core equals 20 kW/(m·K), a graphene monocrystal in-plane acoustic phonon conductivity equals 4 kW/(m·K).

Physical Setup

A physical magnitude of 1 kW/(m·K) corresponds to 1000 W/(m·K) in standard SI measurement.

Conversion to SI Unit: watt per meter kelvin (W/(m·K))
1 kW/(m·K) = 1000 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 kW/(m·K) at Insulated Wall Core (20K across 0.1m = 200 K/m) = 200000 W/m²
Equals 200 kW/m² • 63399.6792 BTU/(h·ft²) • 4.776918 cal/(s·cm²)
SI Heat Flux
200000
W/m²
Watts per Square Meter
Solar / Combustion
200
kW/m²
Kilowatts per Square Meter
US Building Envelope
63399.6792
BTU/(h·ft²)
BTU per Hour Sq. Foot
CGS Thermal
4.776918
cal/(s·cm²)
Calories per Second Sq. Cm
Meteorology
286.6667
Ly/min
Langley per Minute
Furnace Flux
0.2
MW/m²
Megawatts per Square Meter
  1. 1. Normalize Input to SI Base Unit (W/(m·K)):
    k = 1 kW/(m·K) × 1000 = 1000 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 = (1000 W/(m·K)) × (200 K/m) = 200000 W/m²
  4. 4. Convert to Standard Engineering Units:
    • W/m²: 200000 × 1 = 200000 W/m² (Watts per Square Meter) • kW/m²: 200000 × 0.001 = 200 kW/m² (Kilowatts per Square Meter) • BTU/(h·ft²): 200000 × 0.317 = 63399.6792 BTU/(h·ft²) (BTU per Hour Sq. Foot) • cal/(s·cm²): 200000 × 2.3885 × 10⁻⁵ = 4.776918 cal/(s·cm²) (Calories per Second Sq. Cm) • Ly/min: 200000 × 0.001433 = 286.6667 Ly/min (Langley per Minute) • MW/m²: 200000 × 1 × 10⁻⁶ = 0.2 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 6938.1117892 btu (th) inches/hour/sq. foot/°f (Btu (th)·in/(h·ft²·°F)) in 1 kilowatt/meter/kelvin (kW/(m·K)). To calculate larger amounts manually, simply multiply your total number of kilowatts/meter/kelvin by the conversion multiplier of 6938.1117892.

The mathematical formula to convert kilowatts/meter/kelvin to btu (th) inches/hour/sq. foot/°f is: [value] * 6938.1117892 = 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 kilowatts/meter/kelvin, you must divide your starting value by 6938.1117892. Our bidirectional tool automatically computes this inverse equation the moment you type into the btu (th) inch/hour/sq. foot/°f input field.

1 Kilowatt/meter/kelvin is larger than 1 Btu (th) inch/hour/sq. foot/°F. Specifically, 1 Kilowatt/meter/kelvin equals exactly 6938.1117892 btu (th) inches/hour/sq. foot/°f, making it 6938.1118 times larger (a difference of 3.84 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 Kilowatt/meter/kelvin converts to 6938.1117892 btu (th) inches/hour/sq. foot/°f. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.