Btus (th)/second/sq. inch to Ergs/hour/square millimeter Converter (Btu/(s·in²) to erg/(h·mm²))

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Live Conversion • ISO 80000-5:2019 Certified

1 BTU (th)/second/sq. inch = 5.8832856 × 10¹⁰ Erg/hour/square millimeter

1 Btu/(s·in²) = 5.883286 × 10¹⁰ erg/(h·mm²) • 1 erg/(h·mm²) = 1.699731 × 10⁻¹¹ Btu/(s·in²)

Decimals:

Certified Authority Value

58832856000.00000000

erg/(h·mm²)

From / Input

Btu/(s·in²)

Swap to Erg/hour/square millimeter to BTU (th)/second/sq. inch

To / Result

erg/(h·mm²)

Quick Values:

Conversion Formula

To convert BTU (th)/second/sq. inch to Erg/hour/square millimeter, multiply by 5.8832856 × 10¹⁰

Btu/(s·in²) × 5.8832856 × 10¹⁰ = erg/(h·mm²)

Calculation: 1 Btu/(s·in²) × 5.8832856 × 10¹⁰ = 5.8832856 × 10¹⁰ erg/(h·mm²)

Common BTU (th)/second/sq. inch to Erg/hour/square millimeter Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between BTU (th)/second/sq. inch (Btu/(s·in²)) and Erg/hour/square millimeter (erg/(h·mm²)).

Tap any row to calculate

BTU (th)/second/sq. inch to Erg/hour/square millimeter: Primary Direct Table (15 Steps)

Rule: 1 BTU (th)/second/sq. inch is equal to 5.883286 × 10¹⁰ erg/(h·mm²) (Erg/hour/square millimeter)

BTU (th)/second/sq. inch to Erg/hour/square millimeter Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 Btu/(s·in²) 5.883286 × 10⁷ erg/(h·mm²)	5.883 × 10⁷
0.01 Btu/(s·in²) 5.883286 × 10⁸ erg/(h·mm²)	5.883 × 10⁸
0.1 Btu/(s·in²) 5.883286 × 10⁹ erg/(h·mm²)	5.883 × 10⁹
0.5 Btu/(s·in²) 2.941643 × 10¹⁰ erg/(h·mm²)	2.942 × 10¹⁰
1 Btu/(s·in²) 5.883286 × 10¹⁰ erg/(h·mm²)	5.883 × 10¹⁰
2 Btu/(s·in²) 1.176657 × 10¹¹ erg/(h·mm²)	1.177 × 10¹¹
5 Btu/(s·in²) 2.941643 × 10¹¹ erg/(h·mm²)	2.942 × 10¹¹
10 Btu/(s·in²) 5.883286 × 10¹¹ erg/(h·mm²)	5.883 × 10¹¹
20 Btu/(s·in²) 1.176657 × 10¹² erg/(h·mm²)	1.177 × 10¹²
25 Btu/(s·in²) 1.470821 × 10¹² erg/(h·mm²)	1.471 × 10¹²
50 Btu/(s·in²) 2.941643 × 10¹² erg/(h·mm²)	2.942 × 10¹²
100 Btu/(s·in²) 5.883286 × 10¹² erg/(h·mm²)	5.883 × 10¹²
250 Btu/(s·in²) 1.470821 × 10¹³ erg/(h·mm²)	1.471 × 10¹³
500 Btu/(s·in²) 2.941643 × 10¹³ erg/(h·mm²)	2.942 × 10¹³
1000 Btu/(s·in²) 5.883286 × 10¹³ erg/(h·mm²)	5.883 × 10¹³

Erg/hour/square millimeter to BTU (th)/second/sq. inch: Reciprocal Summary

Rule: 1 Erg/hour/square millimeter is equal to 1.699731 × 10⁻¹¹ Btu/(s·in²) (BTU (th)/second/sq. inch)

Erg/hour/square millimeter to BTU (th)/second/sq. inch Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 erg/(h·mm²) 1.699731 × 10⁻¹¹ Btu/(s·in²)	1.7 × 10⁻¹¹
5 erg/(h·mm²) 8.498653 × 10⁻¹¹ Btu/(s·in²)	8.499 × 10⁻¹¹
10 erg/(h·mm²) 1.699731 × 10⁻¹⁰ Btu/(s·in²)	1.7 × 10⁻¹⁰
50 erg/(h·mm²) 8.498653 × 10⁻¹⁰ Btu/(s·in²)	8.499 × 10⁻¹⁰
100 erg/(h·mm²) 1.699731 × 10⁻⁹ Btu/(s·in²)	1.7 × 10⁻⁹

View Complete 15-Row Erg/hour/square millimeter 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 Erg/hour/square millimeter (erg/(h·mm²)):

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)

Erg/hour/square millimeter References:

Micro-machined MEMS sensor thermal dissipation flux rate 36000 erg/(h·mm²)

Tap any benchmark above to automatically calculate its exact equivalent in Erg/hour/square millimeter.

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 Erg/hour/square millimeter

Converting BTU (th)/second/sq. inch (Btu/(s·in²)) 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)/second/sq. inch translates to 5.883286 × 10¹⁰ Erg/hour/square millimeter (1 erg/(h·mm²) = 1.699731 × 10⁻¹¹ Btu/(s·in²)).

Direct Factor1 Btu/(s·in²) = 5.883286 × 10¹⁰ erg/(h·mm²)

Inverse Ratio1 erg/(h·mm²) = 1.699731 × 10⁻¹¹ Btu/(s·in²)

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:

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 (k_source):1 Btu/(s·in²) = 1634246 watt per square meter (W/m²)

2. Target SI Bridge (k_target):1 erg/(h·mm²) = 2.777778 × 10⁻⁵ watt per square meter (W/m²)

Step-by-step substitution for BTU (th)/second/sq. inch → Erg/hour/square millimeter:V(erg/(h·mm²)) = V(Btu/(s·in²)) × ( 1634246 / 2.777778 × 10⁻⁵ ) = V(Btu/(s·in²)) × 5.883286 × 10¹⁰

Mathematical FormulaValue in Erg/hour/square millimeter = Value in BTU (th)/second/sq. inch × 5.8832856 × 10¹⁰Direct computational formula applied for standard conversion.

Worked Example

Evaluating an input of 120 BTU (th)/second/sq. inch (Btu/(s·in²)) produces 7.059943 × 10¹² Erg/hour/square millimeter (erg/(h·mm²)). In heavy-duty utility and industrial workloads, 1000 Btu/(s·in²) equals 5.883286 × 10¹³ erg/(h·mm²).

Inverse check: 1 erg/(h·mm²) = 1.699731 × 10⁻¹¹ Btu/(s·in²).

Understanding BTU (th)/second/sq. inch and Erg/hour/square millimeter

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].

Input Heat Flux Density (q"): Btu/(s·in²)

Select Heat Exchange Area: 8 m²

Governing Law: 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

Watts

Grid / Utility

13073.968

Kilowatts

Power Plant

13.073968

Megawatts

Mechanical Rating

17532.4799

Horsepower (Mechanical)

Metric Horsepower

17775.6496

Metric Horsepower (PS)

HVAC Thermal Rating

4.46 × 10⁷

BTU/h

BTU per Hour

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (W/m²):
q" = 1 Btu/(s·in²) × 1634246 = 1634246 W/m²
2. Apply Engineering Parameter (A):
Selected condition: Industrial Hydronic Radiator Panel (8 m²) at A = 8 m²
3. Execute Governing Physical Law in SI Units:
P = q" × A = (1634246 W/m²) × (8 m²) = 1.307397 × 10⁷ W
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)

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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

Frequently Asked Questions

There are exactly 5.8832856 × 10¹⁰ ergs/hour/square millimeter (erg/(h·mm²)) 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 5.8832856 × 10¹⁰.

The mathematical formula to convert btus (th)/second/sq. inch to ergs/hour/square millimeter is: [value] * 5.8832856 × 10¹⁰ = 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)/second/sq. inch, you must divide your starting value by 5.8832856 × 10¹⁰. Our bidirectional tool automatically computes this inverse equation the moment you type into the erg/hour/square millimeter input field.

1 BTU (th)/second/sq. inch is larger than 1 Erg/hour/square millimeter. Specifically, 1 BTU (th)/second/sq. inch equals exactly 5.8832856 × 10¹⁰ ergs/hour/square millimeter, making it 5.8833 × 10¹⁰ times larger (a difference of 10.77 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)/second/sq. inch converts to 5.8832856 × 10¹⁰ ergs/hour/square millimeter. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.