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

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Live Conversion • ISO 80000-5:2019 Certified
1 BTU (th)/second/sq. foot/°F = 1631.91351326 Kilocalorie (IT)/hour/ft²/°C
1 Btu (th)/(s·ft²·°F) = 1631.913513 kcal/(h·ft²·°C) • 1 kcal/(h·ft²·°C) = 0.000612778 Btu (th)/(s·ft²·°F)
BTU (th)/second/sq. foot/°F to Kilocalorie (IT)/hour/ft²/°C: One BTU (th)/second/sq. foot/°F is equal to 1631.91351326 Kilocalories (it)/hour/ft²/°C.
Certified Authority Value
1631.91351326
kcal/(h·ft²·°C)
Exact: 1 kcal/(h·ft²·°C) ≡ 0.0006127775718 Btu (th)/(s·ft²·°F)
Btu (th)/(s·ft²·°F)
Btu (th)/(s·ft²·°F)
kcal/(h·ft²·°C)
kcal/(h·ft²·°C) 1631.91351326
Quick Values:
Conversion Formula
To convert BTU (th)/second/sq. foot/°F to Kilocalorie (IT)/hour/ft²/°C, multiply by 1631.91351326
Btu (th)/(s·ft²·°F) × 1631.91351326 = kcal/(h·ft²·°C)

Calculation: 1 Btu (th)/(s·ft²·°F) × 1631.91351326 = 1631.91351326 kcal/(h·ft²·°C)

Common BTU (th)/second/sq. foot/°F to Kilocalorie (IT)/hour/ft²/°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 Kilocalorie (IT)/hour/ft²/°C (kcal/(h·ft²·°C)).

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BTU (th)/second/sq. foot/°F to Kilocalorie (IT)/hour/ft²/°C: Primary Direct Table (15 Steps)
BTU (th)/second/sq. foot/°F to Kilocalorie (IT)/hour/ft²/°C Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 Btu (th)/(s·ft²·°F) 1.631914 kcal/(h·ft²·°C) 1.632 × 10⁰
0.01 Btu (th)/(s·ft²·°F) 16.319135 kcal/(h·ft²·°C) 1.632 × 10¹
0.1 Btu (th)/(s·ft²·°F) 163.191351 kcal/(h·ft²·°C) 1.632 × 10²
0.5 Btu (th)/(s·ft²·°F) 815.956757 kcal/(h·ft²·°C) 8.16 × 10²
1 Btu (th)/(s·ft²·°F) 1631.913513 kcal/(h·ft²·°C) 1.632 × 10³
2 Btu (th)/(s·ft²·°F) 3263.827027 kcal/(h·ft²·°C) 3.264 × 10³
5 Btu (th)/(s·ft²·°F) 8159.567566 kcal/(h·ft²·°C) 8.16 × 10³
10 Btu (th)/(s·ft²·°F) 16319.135133 kcal/(h·ft²·°C) 1.632 × 10⁴
20 Btu (th)/(s·ft²·°F) 32638.270265 kcal/(h·ft²·°C) 3.264 × 10⁴
25 Btu (th)/(s·ft²·°F) 40797.837832 kcal/(h·ft²·°C) 4.08 × 10⁴
50 Btu (th)/(s·ft²·°F) 81595.675663 kcal/(h·ft²·°C) 8.16 × 10⁴
100 Btu (th)/(s·ft²·°F) 163191.351326 kcal/(h·ft²·°C) 1.632 × 10⁵
250 Btu (th)/(s·ft²·°F) 407978.378316 kcal/(h·ft²·°C) 4.08 × 10⁵
500 Btu (th)/(s·ft²·°F) 815956.756632 kcal/(h·ft²·°C) 8.16 × 10⁵
1000 Btu (th)/(s·ft²·°F) 1631913.513264 kcal/(h·ft²·°C) 1.632 × 10⁶
Kilocalorie (IT)/hour/ft²/°C to BTU (th)/second/sq. foot/°F: Reciprocal Summary
Kilocalorie (IT)/hour/ft²/°C to BTU (th)/second/sq. foot/°F Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 kcal/(h·ft²·°C) 0.000612778 Btu (th)/(s·ft²·°F) 6.128 × 10⁻⁴
5 kcal/(h·ft²·°C) 0.00306389 Btu (th)/(s·ft²·°F) 3.064 × 10⁻³
10 kcal/(h·ft²·°C) 0.00612778 Btu (th)/(s·ft²·°F) 6.128 × 10⁻³
50 kcal/(h·ft²·°C) 0.0306389 Btu (th)/(s·ft²·°F) 3.064 × 10⁻²
100 kcal/(h·ft²·°C) 0.0612778 Btu (th)/(s·ft²·°F) 6.128 × 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 Kilocalorie (IT)/hour/ft²/°C (kcal/(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)

Kilocalorie (IT)/hour/ft²/°C References:

  • Stationary ambient air natural free convection on vertical wall 0.399429 kcal/(h·ft²·°C)
  • Forced air breeze blowing across automotive cooling radiator 3.9943 kcal/(h·ft²·°C)
  • Liquid water forced circulation inside heat exchanger pipe 239.66 kcal/(h·ft²·°C)
  • Nucleate boiling heat transfer in pressurized steam boiler tube 1198.29 kcal/(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 Kilocalorie (IT)/hour/ft²/°C

Converting BTU (th)/second/sq. foot/°F (Btu (th)/(s·ft²·°F)) to Kilocalorie (IT)/hour/ft²/°C (kcal/(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 1631.913513 Kilocalorie (IT)/hour/ft²/°C, while 1 kcal/(h·ft²·°C) equals 0.000612778 Btu (th)/(s·ft²·°F).

Direct Factor1 Btu (th)/(s·ft²·°F) = 1631.913513 kcal/(h·ft²·°C)
Inverse Ratio1 kcal/(h·ft²·°C) = 0.000612778 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 kcal/(h·ft²·°C) = 12.517869 watt per square meter kelvin (W/(m²·K))
Step-by-step substitution for BTU (th)/second/sq. foot/°F → Kilocalorie (IT)/hour/ft²/°C:V(kcal/(h·ft²·°C)) = V(Btu (th)/(s·ft²·°F)) × ( 20428.08 / 12.517869 ) = V(Btu (th)/(s·ft²·°F)) × 1631.913513
Mathematical FormulaValue in Kilocalorie (IT)/hour/ft²/°C = Value in BTU (th)/second/sq. foot/°F × 1631.91351326Direct computational formula applied for standard conversion.
Worked Example

To convert 12 BTU (th)/second/sq. foot/°F (Btu (th)/(s·ft²·°F)) to Kilocalorie (IT)/hour/ft²/°C (kcal/(h·ft²·°C)): multiply 12 by 1631.913513 to get 19582.962159 kcal/(h·ft²·°C). At an industrial engineering scale, 1000 Btu (th)/(s·ft²·°F) converts to 1631913.513264 kcal/(h·ft²·°C).

Inverse check: 1 kcal/(h·ft²·°C) = 0.000612778 Btu (th)/(s·ft²·°F).

Understanding BTU (th)/second/sq. foot/°F and Kilocalorie (IT)/hour/ft²/°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)

Kilocalorie (IT)/hour/ft²/°C

kcal/(h·ft²·°C)
SI Multiple

A Kilocalorie (IT)/hour/ft²/°C (kcal/(h·ft²·°C)) is a decimal multiple of the SI-derived 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 0.399429 kcal/(h·ft²·°C), a forced air breeze blowing across automotive cooling radiator equals 3.9943 kcal/(h·ft²·°C), a liquid water forced circulation inside heat exchanger pipe equals 239.66 kcal/(h·ft²·°C).

Physical Setup

A physical magnitude of 1 kcal/(h·ft²·°C) corresponds to 12.517869 W/(m²·K) in standard SI measurement.

Conversion to SI Unit: watt per square meter kelvin (W/(m²·K))
1 kcal/(h·ft²·°C) = 12.517869 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 1631.91351326 kilocalories (it)/hour/ft²/°c (kcal/(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 1631.91351326.

The mathematical formula to convert btus (th)/second/sq. foot/°f to kilocalories (it)/hour/ft²/°c is: [value] * 1631.91351326 = kilocalories (it)/hour/ft²/°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 kilocalories (it)/hour/ft²/°c back to btus (th)/second/sq. foot/°f, you must divide your starting value by 1631.91351326. Our bidirectional tool automatically computes this inverse equation the moment you type into the kilocalorie (it)/hour/ft²/°c input field.

1 BTU (th)/second/sq. foot/°F is larger than 1 Kilocalorie (IT)/hour/ft²/°C. Specifically, 1 BTU (th)/second/sq. foot/°F equals exactly 1631.91351326 kilocalories (it)/hour/ft²/°c, making it 1631.9135 times larger (a difference of 3.21 orders of magnitude). Therefore, quantities expressed in kilocalories (it)/hour/ft²/°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 1631.91351326 kilocalories (it)/hour/ft²/°c. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.