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Watts/square meter kelvin to Chus/hour/sq. foot/°C Converter (W/(m²·K) to CHU/(h·ft²·°C))

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Live Conversion • ISO 80000-5:2019 Certified
1 Watt/square meter kelvin = 0.176113 CHU/hour/sq. foot/°C
1 W/(m²·K) = 0.176113 CHU/(h·ft²·°C) • 1 CHU/(h·ft²·°C) = 5.678173 W/(m²·K)
Watt/square meter kelvin to CHU/hour/sq. foot/°C: One Watt/square meter kelvin is equal to 0.176113 Chus/hour/sq. foot/°C.
Certified Authority Value
0.17611300
CHU/(h·ft²·°C)
Exact: 1 CHU/(h·ft²·°C) ≡ 5.678172537 W/(m²·K)
W/(m²·K)
W/(m²·K)
CHU/(h·ft²·°C)
CHU/(h·ft²·°C) 0.176113
Quick Values:
Conversion Formula
To convert Watt/square meter kelvin to CHU/hour/sq. foot/°C, multiply by 0.176113
W/(m²·K) × 0.176113 = CHU/(h·ft²·°C)

Calculation: 1 W/(m²·K) × 0.176113 = 0.176113 CHU/(h·ft²·°C)

Common Watt/square meter kelvin to CHU/hour/sq. foot/°C Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Watt/square meter kelvin (W/(m²·K)) and CHU/hour/sq. foot/°C (CHU/(h·ft²·°C)).

Tap any row to calculate
Watt/square meter kelvin to CHU/hour/sq. foot/°C: Primary Direct Table (15 Steps)
Watt/square meter kelvin to CHU/hour/sq. foot/°C Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 W/(m²·K) 0.000176113 CHU/(h·ft²·°C) 1.761 × 10⁻⁴
0.01 W/(m²·K) 0.00176113 CHU/(h·ft²·°C) 1.761 × 10⁻³
0.1 W/(m²·K) 0.0176113 CHU/(h·ft²·°C) 1.761 × 10⁻²
0.5 W/(m²·K) 0.0880565 CHU/(h·ft²·°C) 8.806 × 10⁻²
1 W/(m²·K) 0.176113 CHU/(h·ft²·°C) 1.761 × 10⁻¹
2 W/(m²·K) 0.352226 CHU/(h·ft²·°C) 3.522 × 10⁻¹
5 W/(m²·K) 0.880565 CHU/(h·ft²·°C) 8.806 × 10⁻¹
10 W/(m²·K) 1.76113 CHU/(h·ft²·°C) 1.761 × 10⁰
20 W/(m²·K) 3.52226 CHU/(h·ft²·°C) 3.522 × 10⁰
25 W/(m²·K) 4.402825 CHU/(h·ft²·°C) 4.403 × 10⁰
50 W/(m²·K) 8.80565 CHU/(h·ft²·°C) 8.806 × 10⁰
100 W/(m²·K) 17.6113 CHU/(h·ft²·°C) 1.761 × 10¹
250 W/(m²·K) 44.02825 CHU/(h·ft²·°C) 4.403 × 10¹
500 W/(m²·K) 88.0565 CHU/(h·ft²·°C) 8.806 × 10¹
1000 W/(m²·K) 176.113 CHU/(h·ft²·°C) 1.761 × 10²
CHU/hour/sq. foot/°C to Watt/square meter kelvin: Reciprocal Summary
CHU/hour/sq. foot/°C to Watt/square meter kelvin Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 CHU/(h·ft²·°C) 5.678173 W/(m²·K) 5.678 × 10⁰
5 CHU/(h·ft²·°C) 28.390863 W/(m²·K) 2.839 × 10¹
10 CHU/(h·ft²·°C) 56.781725 W/(m²·K) 5.678 × 10¹
50 CHU/(h·ft²·°C) 283.908627 W/(m²·K) 2.839 × 10²
100 CHU/(h·ft²·°C) 567.817254 W/(m²·K) 5.678 × 10²

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/square meter kelvin (W/(m²·K)) and CHU/hour/sq. foot/°C (CHU/(h·ft²·°C)):

Watt/square meter kelvin References:

  • Stationary ambient air natural free convection on vertical wall 5 W/(m²·K)
  • Forced air breeze blowing across automotive cooling radiator 50 W/(m²·K)
  • Liquid water forced circulation inside heat exchanger pipe 3000 W/(m²·K)
  • Nucleate boiling heat transfer in pressurized steam boiler tube 15000 W/(m²·K)
  • Dropwise pure steam condensation on chilled titanium surface 50000 W/(m²·K)

CHU/hour/sq. foot/°C References:

  • Stationary ambient air natural free convection on vertical wall 0.880565 CHU/(h·ft²·°C)
  • Forced air breeze blowing across automotive cooling radiator 8.8057 CHU/(h·ft²·°C)
  • Liquid water forced circulation inside heat exchanger pipe 528.34 CHU/(h·ft²·°C)
  • Nucleate boiling heat transfer in pressurized steam boiler tube 2641.7 CHU/(h·ft²·°C)
ISQ Dimension: [M T⁻³ Θ⁻¹] Coherent SI Unit: watt per square meter kelvin (W/(m²·K)) Thermodynamics & Heat Transfer

How to Convert Watt/square meter kelvin to CHU/hour/sq. foot/°C

Converting Watt/square meter kelvin (W/(m²·K)) to CHU/hour/sq. foot/°C (CHU/(h·ft²·°C)) is a core calculation in Heat Transfer Coefficient, which quantifies the proportionality constant between the heat flux and the thermodynamic driving temperature difference. 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/square meter kelvin equals 0.176113 CHU/hour/sq. foot/°C, while 1 CHU/(h·ft²·°C) equals 5.678173 W/(m²·K).

Direct Factor1 W/(m²·K) = 0.176113 CHU/(h·ft²·°C)
Inverse Ratio1 CHU/(h·ft²·°C) = 5.678173 W/(m²·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 square meter kelvin (W/(m²·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/(m²·K) = 1 watt per square meter kelvin (W/(m²·K))
2. Target SI Bridge (ktarget):1 CHU/(h·ft²·°C) = 5.678173 watt per square meter kelvin (W/(m²·K))
Step-by-step substitution for Watt/square meter kelvin → CHU/hour/sq. foot/°C:V(CHU/(h·ft²·°C)) = V(W/(m²·K)) × ( 1 / 5.678173 ) = V(W/(m²·K)) × 0.176113
Mathematical FormulaValue in CHU/hour/sq. foot/°C = Value in Watt/square meter kelvin × 0.176113Direct computational formula applied for standard conversion.
Worked Example

Evaluating an input of 2.5 Watt/square meter kelvin (W/(m²·K)) produces 0.440283 CHU/hour/sq. foot/°C (CHU/(h·ft²·°C)). In heavy-duty utility and industrial workloads, 480 W/(m²·K) equals 84.53424 CHU/(h·ft²·°C).

Inverse check: 1 CHU/(h·ft²·°C) = 5.678173 W/(m²·K).

Understanding Watt/square meter kelvin and CHU/hour/sq. foot/°C

Watt/square meter kelvin

W/(m²·K)
SI Base Standard

A Watt/square meter kelvin (W/(m²·K)) is the official base standard unit for heat transfer coefficient.

Applications & Practical Context

In practical heat transfer coefficient terms, a stationary ambient air natural free convection on vertical wall equals 5 W/(m²·K), a forced air breeze blowing across automotive cooling radiator equals 50 W/(m²·K), a liquid water forced circulation inside heat exchanger pipe equals 3000 W/(m²·K).

Physical Setup

A heat transfer coefficient of 1 W/(m²·K) yields 1 watt of thermal energy transfer per square meter for each kelvin difference.

Conversion to SI Unit: watt per square meter kelvin (W/(m²·K))
1 W/(m²·K) = 1 W/(m²·K) (Base Standard)

CHU/hour/sq. foot/°C

CHU/(h·ft²·°C)
Imperial / US

A CHU/hour/sq. foot/°C (CHU/(h·ft²·°C)) is an imperial and US customary unit for heat transfer coefficient.

Applications & Practical Context

In practical heat transfer coefficient terms, a stationary ambient air natural free convection on vertical wall equals 0.880565 CHU/(h·ft²·°C), a forced air breeze blowing across automotive cooling radiator equals 8.8057 CHU/(h·ft²·°C), a liquid water forced circulation inside heat exchanger pipe equals 528.34 CHU/(h·ft²·°C).

Physical Setup

A physical magnitude of 1 CHU/(h·ft²·°C) corresponds to 5.678173 W/(m²·K) in standard SI measurement.

Conversion to SI Unit: watt per square meter kelvin (W/(m²·K))
1 CHU/(h·ft²·°C) = 5.678173 W/(m²·K)

Domain Metrology & Engineering Applications

Governing Law & Equation

Newton's Law of Cooling (q = h · ΔT)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using surface heat flux transducer plates coupled with surface RTD arrays, and wind tunnel boundary layer calorimeters.

Primary Industry Sectors

Applied across industrial heat exchanger rating, nuclear reactor cooling loop simulation, electronics forced-air cooling, and architectural U-value certification under international metrology standard ISO 80000-5:2019, ASME PTC.

Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-5:2019, ASME PTC and the BIPM SI Brochure (9th Edition). Governed by Newton's Law of Cooling (q = h · ΔT) under ISO 80000 dimensional vector [M T⁻³ Θ⁻¹].

Multi-Variable Engineering Bridge Convective Thermodynamics & Cooling

Heat Transfer Coefficient to Convective Flux Bridge (W/m² • kW/m² • BTU/(h·ft²) • cal/(s·cm²))

Calculate Newton’s law of cooling convective heat flux q" = h × ΔT across convective film temperature drops, bridging heat transfer coefficient [M T⁻³ Θ⁻¹] with heat flux [M T⁻³].

q" = h × ΔT
Vector: [W/(m²·K)] × [K] → [W/m²]
Live Calculated Bridge Equivalent:
1 W/(m²·K) at Forced Air Duct Cooling (ΔT = 25 K) = 25 W/m²
Equals 0.025 kW/m² • 7.925 BTU/(h·ft²) • 0.00059711 cal/(s·cm²)
SI Heat Flux
25
W/m²
Watts per Square Meter
Solar / Combustion
0.025
kW/m²
Kilowatts per Square Meter
US Building Envelope
7.925
BTU/(h·ft²)
BTU per Hour Sq. Foot
CGS Thermal
0.00059711
cal/(s·cm²)
Calories per Second Sq. Cm
Meteorology
0.03583
Ly/min
Langley per Minute
Furnace Flux
2.5 × 10⁻⁵
MW/m²
Megawatts per Square Meter
  1. 1. Normalize Input to SI Base Unit (W/(m²·K)):
    h = 1 W/(m²·K) × 1 = 1 W/(m²·K)
  2. 2. Apply Engineering Parameter (ΔT):
    Selected condition: Forced Air Duct Cooling (ΔT = 25 K) at ΔT = 25 K
  3. 3. Execute Governing Physical Law in SI Units:
    q" = h × ΔT = (1 W/(m²·K)) × (25 K) = 25 W/m²
  4. 4. Convert to Standard Engineering Units:
    • W/m²: 25 × 1 = 25 W/m² (Watts per Square Meter) • kW/m²: 25 × 0.001 = 0.025 kW/m² (Kilowatts per Square Meter) • BTU/(h·ft²): 25 × 0.317 = 7.925 BTU/(h·ft²) (BTU per Hour Sq. Foot) • cal/(s·cm²): 25 × 2.3885 × 10⁻⁵ = 0.00059711 cal/(s·cm²) (Calories per Second Sq. Cm) • Ly/min: 25 × 0.001433 = 0.03583 Ly/min (Langley per Minute) • MW/m²: 25 × 1 × 10⁻⁶ = 2.5 × 10⁻⁵ MW/m² (Megawatts per Square Meter)
Explore Full Heat Flux Density Converter →
Engineering Substance / Operating Standard Parameter Value (K) Reference State / Condition Typical Industrial & Engineering Application
Natural Air Convection (ΔT = 15 K) 15 ΔT = 15 K (15°C) Still room air room heating surface delta
Forced Air Duct Cooling (ΔT = 25 K) 25 ΔT = 25 K (25°C) Forced fan ventilation heatsink airflow
Forced Liquid Water Cooling (ΔT = 30 K) 30 ΔT = 30 K Pumped liquid cold plate or engine jacket
Nucleate Boiling Heat Transfer (ΔT = 50 K) 50 ΔT = 50 K Boiler evaporator tube wall boundary
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Frequently Asked Questions

There are exactly 0.176113 chus/hour/sq. foot/°c (CHU/(h·ft²·°C)) in 1 watt/square meter kelvin (W/(m²·K)). To calculate larger amounts manually, simply multiply your total number of watts/square meter kelvin by the conversion multiplier of 0.176113.

The mathematical formula to convert watts/square meter kelvin to chus/hour/sq. foot/°c is: [value] * 0.176113 = chus/hour/sq. foot/°c. 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 chus/hour/sq. foot/°c back to watts/square meter kelvin, you must divide your starting value by 0.176113. Our bidirectional tool automatically computes this inverse equation the moment you type into the chu/hour/sq. foot/°c input field.

1 CHU/hour/sq. foot/°C is larger than 1 Watt/square meter kelvin. Specifically, 1 Watt/square meter kelvin equals 0.176113 chus/hour/sq. foot/°c, meaning 1 CHU/hour/sq. foot/°C is 5.6782 times larger than 1 Watt/square meter kelvin (a difference of 0.75 orders of magnitude). Expressing measurements in watts/square meter kelvin requires a larger numerical value to represent the equivalent physical magnitude.

Under standard international measurement guidelines, 1 Watt/square meter kelvin converts to 0.176113 chus/hour/sq. foot/°c. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.