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Btus (th)/second/sq. inch to Kilocalories (it)/hour/ft² Converter (Btu/(s·in²) to kcal/(h·ft²))

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Live Conversion • ISO 80000-5:2019 Certified
1 BTU (th)/second/sq. inch = 130553.0491068 Kilocalorie (IT)/hour/ft²
1 Btu/(s·in²) = 130553.049107 kcal/(h·ft²) • 1 kcal/(h·ft²) = 7.659722 × 10⁻⁶ Btu/(s·in²)
BTU (th)/second/sq. inch to Kilocalorie (IT)/hour/ft²: One BTU (th)/second/sq. inch is equal to 130553.0491068 Kilocalories (it)/hour/ft².
Certified Authority Value
130553.04910680
kcal/(h·ft²)
Exact: 1 kcal/(h·ft²) ≡ 7.6597215219 × 10⁻⁶ Btu/(s·in²)
Btu/(s·in²)
Btu/(s·in²)
Swap to Kilocalorie (IT)/hour/ft² to BTU (th)/second/sq. inch
Swap to Kilocalorie (IT)/hour/ft² to BTU (th)/second/sq. inch
kcal/(h·ft²)
kcal/(h·ft²) 130553.0491068
Quick Values:
Conversion Formula
To convert BTU (th)/second/sq. inch to Kilocalorie (IT)/hour/ft², multiply by 130553.0491068
Btu/(s·in²) × 130553.0491068 = kcal/(h·ft²)

Calculation: 1 Btu/(s·in²) × 130553.0491068 = 130553.0491068 kcal/(h·ft²)

Common BTU (th)/second/sq. inch to Kilocalorie (IT)/hour/ft² Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between BTU (th)/second/sq. inch (Btu/(s·in²)) and Kilocalorie (IT)/hour/ft² (kcal/(h·ft²)).

Tap any row to calculate
BTU (th)/second/sq. inch to Kilocalorie (IT)/hour/ft²: Primary Direct Table (15 Steps)
BTU (th)/second/sq. inch to Kilocalorie (IT)/hour/ft² Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 Btu/(s·in²) 130.553049 kcal/(h·ft²) 1.306 × 10²
0.01 Btu/(s·in²) 1305.530491 kcal/(h·ft²) 1.306 × 10³
0.1 Btu/(s·in²) 13055.304911 kcal/(h·ft²) 1.306 × 10⁴
0.5 Btu/(s·in²) 65276.524553 kcal/(h·ft²) 6.528 × 10⁴
1 Btu/(s·in²) 130553.049107 kcal/(h·ft²) 1.306 × 10⁵
2 Btu/(s·in²) 261106.098214 kcal/(h·ft²) 2.611 × 10⁵
5 Btu/(s·in²) 652765.245534 kcal/(h·ft²) 6.528 × 10⁵
10 Btu/(s·in²) 1305530.491068 kcal/(h·ft²) 1.306 × 10⁶
20 Btu/(s·in²) 2611060.982136 kcal/(h·ft²) 2.611 × 10⁶
25 Btu/(s·in²) 3263826.22767 kcal/(h·ft²) 3.264 × 10⁶
50 Btu/(s·in²) 6527652.45534 kcal/(h·ft²) 6.528 × 10⁶
100 Btu/(s·in²) 1.30553 × 10⁷ kcal/(h·ft²) 1.306 × 10⁷
250 Btu/(s·in²) 3.263826 × 10⁷ kcal/(h·ft²) 3.264 × 10⁷
500 Btu/(s·in²) 6.527652 × 10⁷ kcal/(h·ft²) 6.528 × 10⁷
1000 Btu/(s·in²) 1.30553 × 10⁸ kcal/(h·ft²) 1.306 × 10⁸
Kilocalorie (IT)/hour/ft² to BTU (th)/second/sq. inch: Reciprocal Summary
Kilocalorie (IT)/hour/ft² to BTU (th)/second/sq. inch Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 kcal/(h·ft²) 7.659722 × 10⁻⁶ Btu/(s·in²) 7.66 × 10⁻⁶
5 kcal/(h·ft²) 3.829861 × 10⁻⁵ Btu/(s·in²) 3.83 × 10⁻⁵
10 kcal/(h·ft²) 7.659722 × 10⁻⁵ Btu/(s·in²) 7.66 × 10⁻⁵
50 kcal/(h·ft²) 0.000382986 Btu/(s·in²) 3.83 × 10⁻⁴
100 kcal/(h·ft²) 0.000765972 Btu/(s·in²) 7.66 × 10⁻⁴
View Complete 15-Row Kilocalorie (IT)/hour/ft² to BTU (th)/second/sq. inch 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 BTU (th)/second/sq. inch (Btu/(s·in²)) and Kilocalorie (IT)/hour/ft² (kcal/(h·ft²)):

BTU (th)/second/sq. inch References:

  • Solar constant extraterrestrial solar irradiance at top of atmosphere 0.000833 Btu/(s·in²)
  • Clear sky direct midday summer sunlight striking sea level ground 0.000612 Btu/(s·in²)
  • Human body resting thermal metabolic heat radiation to room 3.1E-5 Btu/(s·in²)
  • Overcast winter day diffuse solar irradiance at sea level 6.1E-5 Btu/(s·in²)

Kilocalorie (IT)/hour/ft² References:

  • Solar constant extraterrestrial solar irradiance at top of atmosphere 108.72 kcal/(h·ft²)
  • Clear sky direct midday summer sunlight striking sea level ground 79.8858 kcal/(h·ft²)
  • Human body resting thermal metabolic heat radiation to room 3.9943 kcal/(h·ft²)
  • Overcast winter day diffuse solar irradiance at sea level 7.9886 kcal/(h·ft²)

Tap any benchmark above to automatically calculate its exact equivalent in Kilocalorie (IT)/hour/ft².

ISQ Dimension: [M T⁻³] Coherent SI Unit: watt per square meter (W/m²) Thermodynamics & Heat Transfer

How to Convert BTU (th)/second/sq. inch to Kilocalorie (IT)/hour/ft²

Converting BTU (th)/second/sq. inch (Btu/(s·in²)) to Kilocalorie (IT)/hour/ft² (kcal/(h·ft²)) is a core calculation in Heat Flux Density, which measures the rate of thermal energy transfer radiating or conducting through a unit area per second. 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. inch equals 130553.049107 Kilocalorie (IT)/hour/ft², while 1 kcal/(h·ft²) equals 7.659722 × 10⁻⁶ Btu/(s·in²).

Direct Factor1 Btu/(s·in²) = 130553.049107 kcal/(h·ft²)
Inverse Ratio1 kcal/(h·ft²) = 7.659722 × 10⁻⁶ Btu/(s·in²)
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 (W/m²)) 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/(s·in²) = 1634246 watt per square meter (W/m²)
2. Target SI Bridge (ktarget):1 kcal/(h·ft²) = 12.517869 watt per square meter (W/m²)
Step-by-step substitution for BTU (th)/second/sq. inch → Kilocalorie (IT)/hour/ft²:V(kcal/(h·ft²)) = V(Btu/(s·in²)) × ( 1634246 / 12.517869 ) = V(Btu/(s·in²)) × 130553.049107
Mathematical FormulaValue in Kilocalorie (IT)/hour/ft² = Value in BTU (th)/second/sq. inch × 130553.0491068Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 8 Btu/(s·in²), applying the conversion factor yields exactly 1044424.392854 kcal/(h·ft²). At larger operational scale, 480 BTU (th)/second/sq. inch corresponds to 6.266546 × 10⁷ kcal/(h·ft²).

Inverse check: 1 kcal/(h·ft²) = 7.659722 × 10⁻⁶ Btu/(s·in²).

Understanding BTU (th)/second/sq. inch and Kilocalorie (IT)/hour/ft²

BTU (th)/second/sq. inch

Btu/(s·in²)
Imperial / US

A BTU (th)/second/sq. inch (Btu/(s·in²)) is an imperial and US customary unit for heat flux density.

Applications & Practical Context

In practical heat flux density terms, a solar constant extraterrestrial solar irradiance at top of atmosphere equals 0.000833 Btu/(s·in²), a clear sky direct midday summer sunlight striking sea level ground equals 0.000612 Btu/(s·in²), a human body resting thermal metabolic heat radiation to room equals 3.1 × 10⁻⁵ Btu/(s·in²).

Physical Setup

A physical magnitude of 1 Btu/(s·in²) corresponds to 1634246 W/m² in standard SI measurement.

Conversion to SI Unit: watt per square meter (W/m²)
1 Btu/(s·in²) = 1634246 W/m²

Kilocalorie (IT)/hour/ft²

kcal/(h·ft²)
SI Multiple

A Kilocalorie (IT)/hour/ft² (kcal/(h·ft²)) is a decimal multiple of the SI-derived unit for heat flux density.

Applications & Practical Context

In practical heat flux density terms, a solar constant extraterrestrial solar irradiance at top of atmosphere equals 108.72 kcal/(h·ft²), a clear sky direct midday summer sunlight striking sea level ground equals 79.8858 kcal/(h·ft²), a human body resting thermal metabolic heat radiation to room equals 3.9943 kcal/(h·ft²).

Physical Setup

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

Conversion to SI Unit: watt per square meter (W/m²)
1 kcal/(h·ft²) = 12.517869 W/m²

Domain Metrology & Engineering Applications

Governing Law & Equation

Thermal Transmission Flux (q = Q̇ / A)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using Schmidt-Boelter heat flux gauges, differential thermopile foil transducers, and calibrated Gardon radiant gauges.

Primary Industry Sectors

Applied across rocket nozzle combustion chamber analysis, fire resistance testing (ASTM E119), furnace wall heat loss auditing, and hypersonic aerothermal design under international metrology standard ISO 80000-5:2019, ASME PTC 19.3.

Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-5:2019, ASME PTC 19.3 and the BIPM SI Brochure (9th Edition). Governed by Thermal Transmission Flux (q = Q̇ / A) under ISO 80000 dimensional vector [M T⁻³].

Multi-Variable Engineering Bridge Thermal Radiation & Power Dissipation

Heat Flux Density to Total Thermal Power Bridge (Watts • Kilowatts • Megawatts • BTU/h • Horsepower)

Calculate total continuous heat dissipation power P = q" × A across surface barriers and exchangers, bridging heat flux density [M T⁻³] with thermal power [M L² T⁻³].

P = q" × A
Vector: [W/m²] × [m²] → [W]
Live Calculated Bridge Equivalent:
1 Btu/(s·in²) at Industrial Hydronic Radiator Panel (8 m²) = 1.3074 × 10⁷ W
Equals 13073.968 kW • 13.073968 MW • 17532.4799 hp
SI Power
1.3074 × 10⁷
W
Watts
Grid / Utility
13073.968
kW
Kilowatts
Power Plant
13.073968
MW
Megawatts
Mechanical Rating
17532.4799
hp
Horsepower (Mechanical)
Metric Horsepower
17775.6496
PS
Metric Horsepower (PS)
HVAC Thermal Rating
4.46 × 10⁷
BTU/h
BTU per Hour
  1. 1. Normalize Input to SI Base Unit (W/m²):
    q" = 1 Btu/(s·in²) × 1634246 = 1634246 W/m²
  2. 2. Apply Engineering Parameter (A):
    Selected condition: Industrial Hydronic Radiator Panel (8 m²) at A = 8 m²
  3. 3. Execute Governing Physical Law in SI Units:
    P = q" × A = (1634246 W/m²) × (8 m²) = 1.307397 × 10⁷ W
  4. 4. Convert to Standard Engineering Units:
    • W: 1.307397 × 10⁷ × 1 = 1.3074 × 10⁷ W (Watts) • kW: 1.307397 × 10⁷ × 0.001 = 13073.968 kW (Kilowatts) • MW: 1.307397 × 10⁷ × 1 × 10⁻⁶ = 13.073968 MW (Megawatts) • hp: 1.307397 × 10⁷ × 0.001341 = 17532.4799 hp (Horsepower (Mechanical)) • PS: 1.307397 × 10⁷ × 0.00136 = 17775.6496 PS (Metric Horsepower (PS)) • BTU/h: 1.307397 × 10⁷ × 3.4121 = 4.46 × 10⁷ BTU/h (BTU per Hour)
Explore Full Power Converter →
Engineering Substance / Operating Standard Parameter Value (m²) Reference State / Condition Typical Industrial & Engineering Application
Residential Window Glazing (4 m²) 4 4.0 m² Double-pane exterior window glass aperture
Industrial Hydronic Radiator Panel (8 m²) 8 8.0 m² Convective space heating radiator surface
Shell & Tube Heat Exchanger (50 m²) 50 50.0 m² Industrial process fluid cooling bundle
Power Boiler Waterwall (200 m²) 200 200.0 m² Thermal power plant steam generator wall
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Frequently Asked Questions

There are exactly 130553.0491068 kilocalories (it)/hour/ft² (kcal/(h·ft²)) in 1 btu (th)/second/sq. inch (Btu/(s·in²)). To calculate larger amounts manually, simply multiply your total number of btus (th)/second/sq. inch by the conversion multiplier of 130553.0491068.

The mathematical formula to convert btus (th)/second/sq. inch to kilocalories (it)/hour/ft² is: [value] * 130553.0491068 = kilocalories (it)/hour/ft². 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 back to btus (th)/second/sq. inch, you must divide your starting value by 130553.0491068. Our bidirectional tool automatically computes this inverse equation the moment you type into the kilocalorie (it)/hour/ft² input field.

1 BTU (th)/second/sq. inch is larger than 1 Kilocalorie (IT)/hour/ft². Specifically, 1 BTU (th)/second/sq. inch equals exactly 130553.0491068 kilocalories (it)/hour/ft², making it 130553.0491 times larger (a difference of 5.12 orders of magnitude). Therefore, quantities expressed in kilocalories (it)/hour/ft² require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 BTU (th)/second/sq. inch converts to 130553.0491068 kilocalories (it)/hour/ft². Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.