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Btus (th)/hour/square foot to Ergs/hour/square millimeter Converter (Btu (th)/(h·ft²) to erg/(h·mm²))

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Live Conversion • ISO 80000-5:2019 Certified
1 Btu (th)/hour/square foot = 113489.31794793 Erg/hour/square millimeter
1 Btu (th)/(h·ft²) = 113489.317948 erg/(h·mm²) • 1 erg/(h·mm²) = 8.811402 × 10⁻⁶ Btu (th)/(h·ft²)
Btu (th)/hour/square foot to Erg/hour/square millimeter: One Btu (th)/hour/square foot is equal to 113489.31794793 Ergs/hour/square millimeter.
Certified Authority Value
113489.31794793
erg/(h·mm²)
Exact: 1 erg/(h·mm²) ≡ 8.8114019723 × 10⁻⁶ Btu (th)/(h·ft²)
Btu (th)/(h·ft²)
Btu (th)/(h·ft²)
erg/(h·mm²)
erg/(h·mm²) 113489.31794793
Quick Values:
Conversion Formula
To convert Btu (th)/hour/square foot to Erg/hour/square millimeter, multiply by 113489.31794793
Btu (th)/(h·ft²) × 113489.31794793 = erg/(h·mm²)

Calculation: 1 Btu (th)/(h·ft²) × 113489.31794793 = 113489.31794793 erg/(h·mm²)

Common Btu (th)/hour/square foot to Erg/hour/square millimeter Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Btu (th)/hour/square foot (Btu (th)/(h·ft²)) and Erg/hour/square millimeter (erg/(h·mm²)).

Tap any row to calculate
Btu (th)/hour/square foot to Erg/hour/square millimeter: Primary Direct Table (15 Steps)
Btu (th)/hour/square foot to Erg/hour/square millimeter Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 Btu (th)/(h·ft²) 113.489318 erg/(h·mm²) 1.135 × 10²
0.01 Btu (th)/(h·ft²) 1134.893179 erg/(h·mm²) 1.135 × 10³
0.1 Btu (th)/(h·ft²) 11348.931795 erg/(h·mm²) 1.135 × 10⁴
0.5 Btu (th)/(h·ft²) 56744.658974 erg/(h·mm²) 5.674 × 10⁴
1 Btu (th)/(h·ft²) 113489.317948 erg/(h·mm²) 1.135 × 10⁵
2 Btu (th)/(h·ft²) 226978.635896 erg/(h·mm²) 2.27 × 10⁵
5 Btu (th)/(h·ft²) 567446.58974 erg/(h·mm²) 5.674 × 10⁵
10 Btu (th)/(h·ft²) 1134893.179479 erg/(h·mm²) 1.135 × 10⁶
20 Btu (th)/(h·ft²) 2269786.358959 erg/(h·mm²) 2.27 × 10⁶
25 Btu (th)/(h·ft²) 2837232.948698 erg/(h·mm²) 2.837 × 10⁶
50 Btu (th)/(h·ft²) 5674465.897396 erg/(h·mm²) 5.674 × 10⁶
100 Btu (th)/(h·ft²) 1.134893 × 10⁷ erg/(h·mm²) 1.135 × 10⁷
250 Btu (th)/(h·ft²) 2.837233 × 10⁷ erg/(h·mm²) 2.837 × 10⁷
500 Btu (th)/(h·ft²) 5.674466 × 10⁷ erg/(h·mm²) 5.674 × 10⁷
1000 Btu (th)/(h·ft²) 1.134893 × 10⁸ erg/(h·mm²) 1.135 × 10⁸
Erg/hour/square millimeter to Btu (th)/hour/square foot: Reciprocal Summary
Erg/hour/square millimeter to Btu (th)/hour/square foot Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 erg/(h·mm²) 8.811402 × 10⁻⁶ Btu (th)/(h·ft²) 8.811 × 10⁻⁶
5 erg/(h·mm²) 4.405701 × 10⁻⁵ Btu (th)/(h·ft²) 4.406 × 10⁻⁵
10 erg/(h·mm²) 8.811402 × 10⁻⁵ Btu (th)/(h·ft²) 8.811 × 10⁻⁵
50 erg/(h·mm²) 0.00044057 Btu (th)/(h·ft²) 4.406 × 10⁻⁴
100 erg/(h·mm²) 0.00088114 Btu (th)/(h·ft²) 8.811 × 10⁻⁴

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)/hour/square foot (Btu (th)/(h·ft²)) and Erg/hour/square millimeter (erg/(h·mm²)):

Btu (th)/hour/square foot References:

  • Commercial greenhouse thermal glass wall solar heat gain 180 Btu (th)/(h·ft²)

Erg/hour/square millimeter References:

  • Micro-machined MEMS sensor thermal dissipation flux rate 36000 erg/(h·mm²)
ISQ Dimension: [M T⁻³] Coherent SI Unit: watt per square meter (W/m²) Thermodynamics & Heat Transfer

How to Convert Btu (th)/hour/square foot to Erg/hour/square millimeter

Converting Btu (th)/hour/square foot (Btu (th)/(h·ft²)) to Erg/hour/square millimeter (erg/(h·mm²)) 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 bridges modern MKSA metric standards with the historical Gaussian centimetre-gram-second (CGS) electrostatic and electromagnetic framework. In CGS systems, electromagnetic units (such as statvolts, abvolts, dynes, ergs, and gauss) are formulated directly from mechanical dimensions, with electrostatic-to-electromagnetic relations tied to the speed of light in vacuum (c ≈ 2.99792458 × 1010 cm/s). Exactly 1 Btu (th)/hour/square foot translates to 113489.317948 Erg/hour/square millimeter (1 erg/(h·mm²) = 8.811402 × 10⁻⁶ Btu (th)/(h·ft²)).

Direct Factor1 Btu (th)/(h·ft²) = 113489.317948 erg/(h·mm²)
Inverse Ratio1 erg/(h·mm²) = 8.811402 × 10⁻⁶ Btu (th)/(h·ft²)
Conversion ScaleSI to CGS Gaussian / ESU / EMU 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 (th)/(h·ft²) = 3.152481 watt per square meter (W/m²)
2. Target SI Bridge (ktarget):1 erg/(h·mm²) = 2.777778 × 10⁻⁵ watt per square meter (W/m²)
Step-by-step substitution for Btu (th)/hour/square foot → Erg/hour/square millimeter:V(erg/(h·mm²)) = V(Btu (th)/(h·ft²)) × ( 3.152481 / 2.777778 × 10⁻⁵ ) = V(Btu (th)/(h·ft²)) × 113489.317948
Mathematical FormulaValue in Erg/hour/square millimeter = Value in Btu (th)/hour/square foot × 113489.31794793Direct computational formula applied for standard conversion.
Worked Example

Converting 250 Btu (th)/(h·ft²) yields an exact output of 2.837233 × 10⁷ erg/(h·mm²) in Erg/hour/square millimeter. Under higher industrial throughput, 1000 Btu (th)/(h·ft²) translates to 1.134893 × 10⁸ erg/(h·mm²).

Inverse check: 1 erg/(h·mm²) = 8.811402 × 10⁻⁶ Btu (th)/(h·ft²).

Understanding Btu (th)/hour/square foot and Erg/hour/square millimeter

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

Erg/hour/square millimeter

erg/(h·mm²)
CGS System

An Erg/hour/square millimeter (erg/(h·mm²)) is a unit of heat flux density in the centimeter-gram-second (CGS) system.

Applications & Practical Context

In practical heat flux density terms, a micro-machined MEMS sensor thermal dissipation flux rate equals 36000 erg/(h·mm²).

Physical Setup

A physical magnitude of 1 erg/(h·mm²) corresponds to 2.777778 × 10⁻⁵ W/m² in standard SI measurement.

Conversion to SI Unit: watt per square meter (W/m²)
1 erg/(h·mm²) = 2.777778 × 10⁻⁵ 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 (th)/(h·ft²) at Industrial Hydronic Radiator Panel (8 m²) = 25.2198 W
Equals 0.02522 kW • 2.521985 × 10⁻⁵ MW • 0.03382 hp
SI Power
25.2198
W
Watts
Grid / Utility
0.02522
kW
Kilowatts
Power Plant
2.521985 × 10⁻⁵
MW
Megawatts
Mechanical Rating
0.03382
hp
Horsepower (Mechanical)
Metric Horsepower
0.03429
PS
Metric Horsepower (PS)
HVAC Thermal Rating
86.05
BTU/h
BTU per Hour
  1. 1. Normalize Input to SI Base Unit (W/m²):
    q" = 1 Btu (th)/(h·ft²) × 3.15248105 = 3.15248105 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 = (3.15248105 W/m²) × (8 m²) = 25.219848 W
  4. 4. Convert to Standard Engineering Units:
    • W: 25.219848 × 1 = 25.2198 W (Watts) • kW: 25.219848 × 0.001 = 0.02522 kW (Kilowatts) • MW: 25.219848 × 1 × 10⁻⁶ = 2.521985 × 10⁻⁵ MW (Megawatts) • hp: 25.219848 × 0.001341 = 0.03382 hp (Horsepower (Mechanical)) • PS: 25.219848 × 0.00136 = 0.03429 PS (Metric Horsepower (PS)) • BTU/h: 25.219848 × 3.4121 = 86.05 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 113489.31794793 ergs/hour/square millimeter (erg/(h·mm²)) in 1 btu (th)/hour/square foot (Btu (th)/(h·ft²)). To calculate larger amounts manually, simply multiply your total number of btus (th)/hour/square foot by the conversion multiplier of 113489.31794793.

The mathematical formula to convert btus (th)/hour/square foot to ergs/hour/square millimeter is: [value] * 113489.31794793 = ergs/hour/square millimeter. 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 ergs/hour/square millimeter back to btus (th)/hour/square foot, you must divide your starting value by 113489.31794793. Our bidirectional tool automatically computes this inverse equation the moment you type into the erg/hour/square millimeter input field.

1 Btu (th)/hour/square foot is larger than 1 Erg/hour/square millimeter. Specifically, 1 Btu (th)/hour/square foot equals exactly 113489.31794793 ergs/hour/square millimeter, making it 113489.3179 times larger (a difference of 5.05 orders of magnitude). Therefore, quantities expressed in ergs/hour/square millimeter require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Btu (th)/hour/square foot converts to 113489.31794793 ergs/hour/square millimeter. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.