Watts/centimeter/°C to Kilowatts/meter/kelvin Converter (W/(cm·°C) to kW/(m·K))

Rate this converter

Instant calculation with 0ms overhead

Popular Converters

Live Conversion • ISO 80000-5:2019 Certified

1 Watt/centimeter/°C = 0.1 Kilowatt/meter/kelvin

1 W/(cm·°C) = 0.1 kW/(m·K) • 1 kW/(m·K) = 10 W/(cm·°C)

Decimals:

Certified Authority Value

0.10000000

kW/(m·K)

From / Input

W/(cm·°C)

Swap to Kilowatt/meter/kelvin to Watt/centimeter/°C

To / Result

kW/(m·K)

Quick Values:

Conversion Formula

To convert Watt/centimeter/°C to Kilowatt/meter/kelvin, multiply by 0.1

W/(cm·°C) × 0.1 = kW/(m·K)

Calculation: 1 W/(cm·°C) × 0.1 = 0.1 kW/(m·K)

Common Watt/centimeter/°C to Kilowatt/meter/kelvin Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Watt/centimeter/°C (W/(cm·°C)) and Kilowatt/meter/kelvin (kW/(m·K)).

Tap any row to calculate

Watt/centimeter/°C to Kilowatt/meter/kelvin: Primary Direct Table (15 Steps)

Rule: 1 Watt/centimeter/°C is equal to 0.1 kW/(m·K) (Kilowatt/meter/kelvin)

Watt/centimeter/°C to Kilowatt/meter/kelvin Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 W/(cm·°C) 0.0001 kW/(m·K)	1 × 10⁻⁴
0.01 W/(cm·°C) 0.001 kW/(m·K)	1 × 10⁻³
0.1 W/(cm·°C) 0.01 kW/(m·K)	1 × 10⁻²
0.5 W/(cm·°C) 0.05 kW/(m·K)	5 × 10⁻²
1 W/(cm·°C) 0.1 kW/(m·K)	1 × 10⁻¹
2 W/(cm·°C) 0.2 kW/(m·K)	2 × 10⁻¹
5 W/(cm·°C) 0.5 kW/(m·K)	5 × 10⁻¹
10 W/(cm·°C) 1 kW/(m·K)	1 × 10⁰
20 W/(cm·°C) 2 kW/(m·K)	2 × 10⁰
25 W/(cm·°C) 2.5 kW/(m·K)	2.5 × 10⁰
50 W/(cm·°C) 5 kW/(m·K)	5 × 10⁰
100 W/(cm·°C) 10 kW/(m·K)	1 × 10¹
250 W/(cm·°C) 25 kW/(m·K)	2.5 × 10¹
500 W/(cm·°C) 50 kW/(m·K)	5 × 10¹
1000 W/(cm·°C) 100 kW/(m·K)	1 × 10²

Kilowatt/meter/kelvin to Watt/centimeter/°C: Reciprocal Summary

Rule: 1 Kilowatt/meter/kelvin is equal to 10 W/(cm·°C) (Watt/centimeter/°C)

Kilowatt/meter/kelvin to Watt/centimeter/°C Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 kW/(m·K) 10 W/(cm·°C)	1 × 10¹
5 kW/(m·K) 50 W/(cm·°C)	5 × 10¹
10 kW/(m·K) 100 W/(cm·°C)	1 × 10²
50 kW/(m·K) 500 W/(cm·°C)	5 × 10²
100 kW/(m·K) 1000 W/(cm·°C)	1 × 10³

View Complete 15-Row Kilowatt/meter/kelvin to Watt/centimeter/°C Table

Real-World Context & Everyday Benchmarks

Tap to load into converter

To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Watt/centimeter/°C (W/(cm·°C)) and Kilowatt/meter/kelvin (kW/(m·K)):

Watt/centimeter/°C References:

Stationary atmospheric dry air thermal conductivity at sea level 0.00026 W/(cm·°C)
Commercial fiberglass building insulation batt thermal conductivity 0.0004 W/(cm·°C)
Liquid drinking water thermal conductivity at room temperature 0.006 W/(cm·°C)
Architectural structural concrete wall thermal conductivity 0.015 W/(cm·°C)

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)

Tap any benchmark above to automatically calculate its exact equivalent in Kilowatt/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 Watt/centimeter/°C to Kilowatt/meter/kelvin

Converting Watt/centimeter/°C (W/(cm·°C)) to Kilowatt/meter/kelvin (kW/(m·K)) is a core calculation in Thermal Conductivity, which measures a material's intrinsic capacity to conduct and transfer heat through microscopic collisions. Both units reside within the International System of Units (SI) and share an identical physical dimension vector ([M L T⁻³ Θ⁻¹]), separated strictly by a decimal order-of-magnitude factor (10^-1). Because this shift involves integer powers of 10, the conversion is mathematically exact and free from decimal rounding or irrational fractional loss. Exactly 1 Watt/centimeter/°C equals 0.1 Kilowatt/meter/kelvin.

Direct Factor1 W/(cm·°C) = 0.1 kW/(m·K)

Inverse Ratio1 kW/(m·K) = 10 W/(cm·°C)

Conversion ScalePure SI Metric Prefix Shift (10ⁿ Decimal Scaling)

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/(cm·°C) = 100 watt per meter kelvin (W/(m·K))

2. Target SI Bridge (k_target):1 kW/(m·K) = 1000 watt per meter kelvin (W/(m·K))

Step-by-step substitution for Watt/centimeter/°C → Kilowatt/meter/kelvin:V(kW/(m·K)) = V(W/(cm·°C)) × ( 100 / 1000 ) = V(W/(cm·°C)) × 0.1

Mathematical FormulaValue in Kilowatt/meter/kelvin = Value in Watt/centimeter/°C × 0.1Direct computational formula applied for standard conversion.

Worked Example

Converting 250 W/(cm·°C) yields an exact output of 25 kW/(m·K) in Kilowatt/meter/kelvin. Under higher industrial throughput, 1000 W/(cm·°C) translates to 100 kW/(m·K).

Inverse check: 1 kW/(m·K) = 10 W/(cm·°C).

Understanding Watt/centimeter/°C and Kilowatt/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): W/(cm·°C)

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/(cm·°C) at Insulated Wall Core (20K across 0.1m = 200 K/m) = 20000 W/m²

Equals 20 kW/m² • 6339.9679 BTU/(h·ft²) • 0.477692 cal/(s·cm²)

SI Heat Flux

20000

W/m²

Watts per Square Meter

Solar / Combustion

kW/m²

Kilowatts per Square Meter

US Building Envelope

6339.9679

BTU/(h·ft²)

BTU per Hour Sq. Foot

CGS Thermal

0.477692

cal/(s·cm²)

Calories per Second Sq. Cm

Meteorology

28.6667

Ly/min

Langley per Minute

Furnace Flux

0.02

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/(cm·°C) × 100 = 100 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 = (100 W/(m·K)) × (200 K/m) = 20000 W/m²
4. Convert to Standard Engineering Units:
• W/m²: 20000 × 1 = 20000 W/m² (Watts per Square Meter) • kW/m²: 20000 × 0.001 = 20 kW/m² (Kilowatts per Square Meter) • BTU/(h·ft²): 20000 × 0.317 = 6339.9679 BTU/(h·ft²) (BTU per Hour Sq. Foot) • cal/(s·cm²): 20000 × 2.3885 × 10⁻⁵ = 0.477692 cal/(s·cm²) (Calories per Second Sq. Cm) • Ly/min: 20000 × 0.001433 = 28.6667 Ly/min (Langley per Minute) • MW/m²: 20000 × 1 × 10⁻⁶ = 0.02 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 0.1 kilowatts/meter/kelvin (kW/(m·K)) in 1 watt/centimeter/°c (W/(cm·°C)). To calculate larger amounts manually, simply multiply your total number of watts/centimeter/°c by the conversion multiplier of 0.1.

The mathematical formula to convert watts/centimeter/°c to kilowatts/meter/kelvin is: [value] * 0.1 = kilowatts/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 kilowatts/meter/kelvin back to watts/centimeter/°c, you must divide your starting value by 0.1. Our bidirectional tool automatically computes this inverse equation the moment you type into the kilowatt/meter/kelvin input field.

1 Kilowatt/meter/kelvin is larger than 1 Watt/centimeter/°C. Specifically, 1 Watt/centimeter/°C equals 0.1 kilowatts/meter/kelvin, meaning 1 Kilowatt/meter/kelvin is 10 times larger than 1 Watt/centimeter/°C (a difference of 1.00 orders of magnitude). Expressing measurements in watts/centimeter/°c requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 Watt/centimeter/°C converts to 0.1 kilowatts/meter/kelvin. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.