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Btus (th)/second/sq. foot/°F to Chus/hour/sq. foot/°C Converter (Btu (th)/(s·ft²·°F) to CHU/(h·ft²·°C))

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Live Conversion • ISO 80000-5:2019 Certified
1 BTU (th)/second/sq. foot/°F = 3597.65045304 CHU/hour/sq. foot/°C
1 Btu (th)/(s·ft²·°F) = 3597.650453 CHU/(h·ft²·°C) • 1 CHU/(h·ft²·°C) = 0.000277959 Btu (th)/(s·ft²·°F)
BTU (th)/second/sq. foot/°F to CHU/hour/sq. foot/°C: One BTU (th)/second/sq. foot/°F is equal to 3597.65045304 Chus/hour/sq. foot/°C.
Certified Authority Value
3597.65045304
CHU/(h·ft²·°C)
Exact: 1 CHU/(h·ft²·°C) ≡ 0.0002779591884 Btu (th)/(s·ft²·°F)
Btu (th)/(s·ft²·°F)
Btu (th)/(s·ft²·°F)
CHU/(h·ft²·°C)
CHU/(h·ft²·°C) 3597.65045304
Quick Values:
Conversion Formula
To convert BTU (th)/second/sq. foot/°F to CHU/hour/sq. foot/°C, multiply by 3597.65045304
Btu (th)/(s·ft²·°F) × 3597.65045304 = CHU/(h·ft²·°C)

Calculation: 1 Btu (th)/(s·ft²·°F) × 3597.65045304 = 3597.65045304 CHU/(h·ft²·°C)

Common BTU (th)/second/sq. foot/°F to CHU/hour/sq. foot/°C Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between BTU (th)/second/sq. foot/°F (Btu (th)/(s·ft²·°F)) and CHU/hour/sq. foot/°C (CHU/(h·ft²·°C)).

Tap any row to calculate
BTU (th)/second/sq. foot/°F to CHU/hour/sq. foot/°C: Primary Direct Table (15 Steps)
BTU (th)/second/sq. foot/°F to CHU/hour/sq. foot/°C Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 Btu (th)/(s·ft²·°F) 3.59765 CHU/(h·ft²·°C) 3.598 × 10⁰
0.01 Btu (th)/(s·ft²·°F) 35.976505 CHU/(h·ft²·°C) 3.598 × 10¹
0.1 Btu (th)/(s·ft²·°F) 359.765045 CHU/(h·ft²·°C) 3.598 × 10²
0.5 Btu (th)/(s·ft²·°F) 1798.825227 CHU/(h·ft²·°C) 1.799 × 10³
1 Btu (th)/(s·ft²·°F) 3597.650453 CHU/(h·ft²·°C) 3.598 × 10³
2 Btu (th)/(s·ft²·°F) 7195.300906 CHU/(h·ft²·°C) 7.195 × 10³
5 Btu (th)/(s·ft²·°F) 17988.252265 CHU/(h·ft²·°C) 1.799 × 10⁴
10 Btu (th)/(s·ft²·°F) 35976.50453 CHU/(h·ft²·°C) 3.598 × 10⁴
20 Btu (th)/(s·ft²·°F) 71953.009061 CHU/(h·ft²·°C) 7.195 × 10⁴
25 Btu (th)/(s·ft²·°F) 89941.261326 CHU/(h·ft²·°C) 8.994 × 10⁴
50 Btu (th)/(s·ft²·°F) 179882.522652 CHU/(h·ft²·°C) 1.799 × 10⁵
100 Btu (th)/(s·ft²·°F) 359765.045304 CHU/(h·ft²·°C) 3.598 × 10⁵
250 Btu (th)/(s·ft²·°F) 899412.61326 CHU/(h·ft²·°C) 8.994 × 10⁵
500 Btu (th)/(s·ft²·°F) 1798825.22652 CHU/(h·ft²·°C) 1.799 × 10⁶
1000 Btu (th)/(s·ft²·°F) 3597650.45304 CHU/(h·ft²·°C) 3.598 × 10⁶
CHU/hour/sq. foot/°C to BTU (th)/second/sq. foot/°F: Reciprocal Summary
CHU/hour/sq. foot/°C to BTU (th)/second/sq. foot/°F Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 CHU/(h·ft²·°C) 0.000277959 Btu (th)/(s·ft²·°F) 2.78 × 10⁻⁴
5 CHU/(h·ft²·°C) 0.0013898 Btu (th)/(s·ft²·°F) 1.39 × 10⁻³
10 CHU/(h·ft²·°C) 0.00277959 Btu (th)/(s·ft²·°F) 2.78 × 10⁻³
50 CHU/(h·ft²·°C) 0.013898 Btu (th)/(s·ft²·°F) 1.39 × 10⁻²
100 CHU/(h·ft²·°C) 0.0277959 Btu (th)/(s·ft²·°F) 2.78 × 10⁻²

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)/second/sq. foot/°F (Btu (th)/(s·ft²·°F)) and CHU/hour/sq. foot/°C (CHU/(h·ft²·°C)):

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

  • Stationary ambient air natural free convection on vertical wall 0.000245 Btu (th)/(s·ft²·°F)
  • Forced air breeze blowing across automotive cooling radiator 0.002448 Btu (th)/(s·ft²·°F)
  • Liquid water forced circulation inside heat exchanger pipe 0.146857 Btu (th)/(s·ft²·°F)
  • Nucleate boiling heat transfer in pressurized steam boiler tube 0.734283 Btu (th)/(s·ft²·°F)

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 BTU (th)/second/sq. foot/°F to CHU/hour/sq. foot/°C

Converting BTU (th)/second/sq. foot/°F (Btu (th)/(s·ft²·°F)) 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 BTU (th)/second/sq. foot/°F equals 3597.650453 CHU/hour/sq. foot/°C, while 1 CHU/(h·ft²·°C) equals 0.000277959 Btu (th)/(s·ft²·°F).

Direct Factor1 Btu (th)/(s·ft²·°F) = 3597.650453 CHU/(h·ft²·°C)
Inverse Ratio1 CHU/(h·ft²·°C) = 0.000277959 Btu (th)/(s·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 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 Btu (th)/(s·ft²·°F) = 20428.08 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 BTU (th)/second/sq. foot/°F → CHU/hour/sq. foot/°C:V(CHU/(h·ft²·°C)) = V(Btu (th)/(s·ft²·°F)) × ( 20428.08 / 5.678173 ) = V(Btu (th)/(s·ft²·°F)) × 3597.650453
Mathematical FormulaValue in CHU/hour/sq. foot/°C = Value in BTU (th)/second/sq. foot/°F × 3597.65045304Direct computational formula applied for standard conversion.
Worked Example

To convert 12 BTU (th)/second/sq. foot/°F (Btu (th)/(s·ft²·°F)) to CHU/hour/sq. foot/°C (CHU/(h·ft²·°C)): multiply 12 by 3597.650453 to get 43171.805436 CHU/(h·ft²·°C). At an industrial engineering scale, 100 Btu (th)/(s·ft²·°F) converts to 359765.045304 CHU/(h·ft²·°C).

Inverse check: 1 CHU/(h·ft²·°C) = 0.000277959 Btu (th)/(s·ft²·°F).

Understanding BTU (th)/second/sq. foot/°F and CHU/hour/sq. foot/°C

BTU (th)/second/sq. foot/°F

Btu (th)/(s·ft²·°F)
Imperial / US

A BTU (th)/second/sq. foot/°F (Btu (th)/(s·ft²·°F)) 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 0.000245 Btu (th)/(s·ft²·°F), a forced air breeze blowing across automotive cooling radiator equals 0.002448 Btu (th)/(s·ft²·°F), a liquid water forced circulation inside heat exchanger pipe equals 0.146857 Btu (th)/(s·ft²·°F).

Physical Setup

A physical magnitude of 1 Btu (th)/(s·ft²·°F) corresponds to 20428.08 W/(m²·K) in standard SI measurement.

Conversion to SI Unit: watt per square meter kelvin (W/(m²·K))
1 Btu (th)/(s·ft²·°F) = 20428.08 W/(m²·K)

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 Btu (th)/(s·ft²·°F) at Forced Air Duct Cooling (ΔT = 25 K) = 510702 W/m²
Equals 510.702 kW/m² • 161891.7148 BTU/(h·ft²) • 12.197908 cal/(s·cm²)
SI Heat Flux
510702
W/m²
Watts per Square Meter
Solar / Combustion
510.702
kW/m²
Kilowatts per Square Meter
US Building Envelope
161891.7148
BTU/(h·ft²)
BTU per Hour Sq. Foot
CGS Thermal
12.197908
cal/(s·cm²)
Calories per Second Sq. Cm
Meteorology
732.0062
Ly/min
Langley per Minute
Furnace Flux
0.510702
MW/m²
Megawatts per Square Meter
  1. 1. Normalize Input to SI Base Unit (W/(m²·K)):
    h = 1 Btu (th)/(s·ft²·°F) × 20428.08 = 20428.08 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 = (20428.08 W/(m²·K)) × (25 K) = 510702 W/m²
  4. 4. Convert to Standard Engineering Units:
    • W/m²: 510702 × 1 = 510702 W/m² (Watts per Square Meter) • kW/m²: 510702 × 0.001 = 510.702 kW/m² (Kilowatts per Square Meter) • BTU/(h·ft²): 510702 × 0.317 = 161891.7148 BTU/(h·ft²) (BTU per Hour Sq. Foot) • cal/(s·cm²): 510702 × 2.3885 × 10⁻⁵ = 12.197908 cal/(s·cm²) (Calories per Second Sq. Cm) • Ly/min: 510702 × 0.001433 = 732.0062 Ly/min (Langley per Minute) • MW/m²: 510702 × 1 × 10⁻⁶ = 0.510702 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 3597.65045304 chus/hour/sq. foot/°c (CHU/(h·ft²·°C)) in 1 btu (th)/second/sq. foot/°f (Btu (th)/(s·ft²·°F)). To calculate larger amounts manually, simply multiply your total number of btus (th)/second/sq. foot/°f by the conversion multiplier of 3597.65045304.

The mathematical formula to convert btus (th)/second/sq. foot/°f to chus/hour/sq. foot/°c is: [value] * 3597.65045304 = 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 btus (th)/second/sq. foot/°f, you must divide your starting value by 3597.65045304. Our bidirectional tool automatically computes this inverse equation the moment you type into the chu/hour/sq. foot/°c input field.

1 BTU (th)/second/sq. foot/°F is larger than 1 CHU/hour/sq. foot/°C. Specifically, 1 BTU (th)/second/sq. foot/°F equals exactly 3597.65045304 chus/hour/sq. foot/°c, making it 3597.6505 times larger (a difference of 3.56 orders of magnitude). Therefore, quantities expressed in chus/hour/sq. foot/°c require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 BTU (th)/second/sq. foot/°F converts to 3597.65045304 chus/hour/sq. foot/°c. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.