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Btus (IT)/second/square foot to Btus (th)/hour/square foot Converter (Btu/(s·ft²) to Btu (th)/(h·ft²))

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Live Conversion • ISO 80000-5:2019 Certified
1 Btu (IT)/second/square foot = 3602.40917782 Btu (th)/hour/square foot
1 Btu/(s·ft²) = 3602.409178 Btu (th)/(h·ft²) • 1 Btu (th)/(h·ft²) = 0.000277592 Btu/(s·ft²)
Btu (IT)/second/square foot to Btu (th)/hour/square foot: One Btu (IT)/second/square foot is equal to 3602.40917782 Btus (th)/hour/square foot.
Certified Authority Value
3602.40917782
Btu (th)/(h·ft²)
Exact: 1 Btu (th)/(h·ft²) ≡ 0.000277592 Btu/(s·ft²)
Btu/(s·ft²)
Btu/(s·ft²)
Btu (th)/(h·ft²)
Btu (th)/(h·ft²) 3602.40917782
Quick Values:
Conversion Formula
To convert Btu (IT)/second/square foot to Btu (th)/hour/square foot, multiply by 3602.40917782
Btu/(s·ft²) × 3602.40917782 = Btu (th)/(h·ft²)

Calculation: 1 Btu/(s·ft²) × 3602.40917782 = 3602.40917782 Btu (th)/(h·ft²)

Common Btu (IT)/second/square foot to Btu (th)/hour/square foot Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Btu (IT)/second/square foot (Btu/(s·ft²)) and Btu (th)/hour/square foot (Btu (th)/(h·ft²)).

Tap any row to calculate
Btu (IT)/second/square foot to Btu (th)/hour/square foot: Primary Direct Table (15 Steps)
Btu (IT)/second/square foot to Btu (th)/hour/square foot Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 Btu/(s·ft²) 3.602409 Btu (th)/(h·ft²) 3.602 × 10⁰
0.01 Btu/(s·ft²) 36.024092 Btu (th)/(h·ft²) 3.602 × 10¹
0.1 Btu/(s·ft²) 360.240918 Btu (th)/(h·ft²) 3.602 × 10²
0.5 Btu/(s·ft²) 1801.204589 Btu (th)/(h·ft²) 1.801 × 10³
1 Btu/(s·ft²) 3602.409178 Btu (th)/(h·ft²) 3.602 × 10³
2 Btu/(s·ft²) 7204.818356 Btu (th)/(h·ft²) 7.205 × 10³
5 Btu/(s·ft²) 18012.045889 Btu (th)/(h·ft²) 1.801 × 10⁴
10 Btu/(s·ft²) 36024.091778 Btu (th)/(h·ft²) 3.602 × 10⁴
20 Btu/(s·ft²) 72048.183556 Btu (th)/(h·ft²) 7.205 × 10⁴
25 Btu/(s·ft²) 90060.229446 Btu (th)/(h·ft²) 9.006 × 10⁴
50 Btu/(s·ft²) 180120.458891 Btu (th)/(h·ft²) 1.801 × 10⁵
100 Btu/(s·ft²) 360240.917782 Btu (th)/(h·ft²) 3.602 × 10⁵
250 Btu/(s·ft²) 900602.294455 Btu (th)/(h·ft²) 9.006 × 10⁵
500 Btu/(s·ft²) 1801204.58891 Btu (th)/(h·ft²) 1.801 × 10⁶
1000 Btu/(s·ft²) 3602409.17782 Btu (th)/(h·ft²) 3.602 × 10⁶
Btu (th)/hour/square foot to Btu (IT)/second/square foot: Reciprocal Summary
Btu (th)/hour/square foot to Btu (IT)/second/square foot Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 Btu (th)/(h·ft²) 0.000277592 Btu/(s·ft²) 2.776 × 10⁻⁴
5 Btu (th)/(h·ft²) 0.00138796 Btu/(s·ft²) 1.388 × 10⁻³
10 Btu (th)/(h·ft²) 0.00277592 Btu/(s·ft²) 2.776 × 10⁻³
50 Btu (th)/(h·ft²) 0.0138796 Btu/(s·ft²) 1.388 × 10⁻²
100 Btu (th)/(h·ft²) 0.0277592 Btu/(s·ft²) 2.776 × 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 (IT)/second/square foot (Btu/(s·ft²)) and Btu (th)/hour/square foot (Btu (th)/(h·ft²)):

Btu (IT)/second/square foot References:

  • Atmospheric orbital reentry heat shield peak aerodynamic flux 50 Btu/(s·ft²)

Btu (th)/hour/square foot References:

  • Commercial greenhouse thermal glass wall solar heat gain 180 Btu (th)/(h·ft²)
ISQ Dimension: [M T⁻³] Coherent SI Unit: watt per square meter (W/m²) Thermodynamics & Heat Transfer

How to Convert Btu (IT)/second/square foot to Btu (th)/hour/square foot

Converting Btu (IT)/second/square foot (Btu/(s·ft²)) to Btu (th)/hour/square foot (Btu (th)/(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 (IT)/second/square foot equals 3602.409178 Btu (th)/hour/square foot, while 1 Btu (th)/(h·ft²) equals 0.000277592 Btu/(s·ft²).

Direct Factor1 Btu/(s·ft²) = 3602.409178 Btu (th)/(h·ft²)
Inverse Ratio1 Btu (th)/(h·ft²) = 0.000277592 Btu/(s·ft²)
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·ft²) = 11356.526682 watt per square meter (W/m²)
2. Target SI Bridge (ktarget):1 Btu (th)/(h·ft²) = 3.152481 watt per square meter (W/m²)
Step-by-step substitution for Btu (IT)/second/square foot → Btu (th)/hour/square foot:V(Btu (th)/(h·ft²)) = V(Btu/(s·ft²)) × ( 11356.526682 / 3.152481 ) = V(Btu/(s·ft²)) × 3602.409178
Mathematical FormulaValue in Btu (th)/hour/square foot = Value in Btu (IT)/second/square foot × 3602.40917782Direct computational formula applied for standard conversion.
Worked Example

To convert 50 Btu (IT)/second/square foot (Btu/(s·ft²)) to Btu (th)/hour/square foot (Btu (th)/(h·ft²)): multiply 50 by 3602.409178 to get 180120.458891 Btu (th)/(h·ft²). At an industrial engineering scale, 100 Btu/(s·ft²) converts to 360240.917782 Btu (th)/(h·ft²).

Inverse check: 1 Btu (th)/(h·ft²) = 0.000277592 Btu/(s·ft²).

Understanding Btu (IT)/second/square foot and Btu (th)/hour/square foot

Btu (IT)/second/square foot

Btu/(s·ft²)
Imperial / US

A Btu (IT)/second/square foot (Btu/(s·ft²)) is an imperial and US customary unit for heat flux density.

Applications & Practical Context

In practical heat flux density terms, a atmospheric orbital reentry heat shield peak aerodynamic flux equals 50 Btu/(s·ft²).

Physical Setup

A physical magnitude of 1 Btu/(s·ft²) corresponds to 11356.526682 W/m² in standard SI measurement.

Conversion to SI Unit: watt per square meter (W/m²)
1 Btu/(s·ft²) = 11356.526682 W/m²

Btu (th)/hour/square foot

Btu (th)/(h·ft²)
Imperial / US

A Btu (th)/hour/square foot (Btu (th)/(h·ft²)) is an imperial and US customary unit for heat flux density.

Applications & Practical Context

In practical heat flux density terms, a commercial greenhouse thermal glass wall solar heat gain equals 180 Btu (th)/(h·ft²).

Physical Setup

A physical magnitude of 1 Btu (th)/(h·ft²) corresponds to 3.152481 W/m² in standard SI measurement.

Conversion to SI Unit: watt per square meter (W/m²)
1 Btu (th)/(h·ft²) = 3.152481 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·ft²) at Industrial Hydronic Radiator Panel (8 m²) = 90852.2135 W
Equals 90.8522 kW • 0.0908522 MW • 121.8348 hp
SI Power
90852.2135
W
Watts
Grid / Utility
90.8522
kW
Kilowatts
Power Plant
0.0908522
MW
Megawatts
Mechanical Rating
121.8348
hp
Horsepower (Mechanical)
Metric Horsepower
123.5246
PS
Metric Horsepower (PS)
HVAC Thermal Rating
310000.62
BTU/h
BTU per Hour
  1. 1. Normalize Input to SI Base Unit (W/m²):
    q" = 1 Btu/(s·ft²) × 11356.52668223 = 11356.52668223 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 = (11356.52668223 W/m²) × (8 m²) = 90852.213458 W
  4. 4. Convert to Standard Engineering Units:
    • W: 90852.213458 × 1 = 90852.2135 W (Watts) • kW: 90852.213458 × 0.001 = 90.8522 kW (Kilowatts) • MW: 90852.213458 × 1 × 10⁻⁶ = 0.0908522 MW (Megawatts) • hp: 90852.213458 × 0.001341 = 121.8348 hp (Horsepower (Mechanical)) • PS: 90852.213458 × 0.00136 = 123.5246 PS (Metric Horsepower (PS)) • BTU/h: 90852.213458 × 3.4121 = 310000.62 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 3602.40917782 btus (th)/hour/square foot (Btu (th)/(h·ft²)) in 1 btu (it)/second/square foot (Btu/(s·ft²)). To calculate larger amounts manually, simply multiply your total number of btus (it)/second/square foot by the conversion multiplier of 3602.40917782.

The mathematical formula to convert btus (it)/second/square foot to btus (th)/hour/square foot is: [value] * 3602.40917782 = btus (th)/hour/square foot. 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 btus (th)/hour/square foot back to btus (it)/second/square foot, you must divide your starting value by 3602.40917782. Our bidirectional tool automatically computes this inverse equation the moment you type into the btu (th)/hour/square foot input field.

1 Btu (IT)/second/square foot is larger than 1 Btu (th)/hour/square foot. Specifically, 1 Btu (IT)/second/square foot equals exactly 3602.40917782 btus (th)/hour/square foot, making it 3602.4092 times larger (a difference of 3.56 orders of magnitude). Therefore, quantities expressed in btus (th)/hour/square foot require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Btu (IT)/second/square foot converts to 3602.40917782 btus (th)/hour/square foot. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.