Convert watt/square inch [W/in^2] to erg/hour/square millimeter Online | Free heat-flux-density Converter

Watt per Square Inch [W/in²]


The unit watt per square inch (W/in²) measures heat flux density or power per unit area, representing the amount of energy transferred through 1 square inch of surface every second. One watt equals 1 joule per second, so 1 W/in² corresponds to 1 joule of energy passing through 1 in² every second.


This unit is commonly used in high-intensity applications with small areas, such as:



  • Laser beams or focused light sources



  • Electronic devices to measure power density on chips



  • Industrial heating processes with concentrated energy



Heat flux can be expressed as:


q=QAtq = \frac{Q}{A \cdot t}

where q is heat flux in W/in², Q is energy in joules, A is area in in², and t is time in seconds.


Conversion to SI units:


1W/in²1.550×104W/m²1 \, \text{W/in²} \approx 1.550 \times 10^4 \, \text{W/m²}

While W/m² is the SI standard, W/in² is convenient in U.S. engineering, electronics, and laboratory experiments involving small surface areas, where reporting flux per square inch provides an intuitive measure of concentrated energy.


Erg per Hour per Square Millimeter [erg/(h·mm²)]


The unit erg per hour per square millimeter, written as erg/(h·mm²), measures energy flux density or power per unit area using the cgs system. An erg is defined as the energy required to move 1 dyne over 1 centimeter, or 1 erg = 10⁻⁷ joules. Dividing by hour and mm² provides the rate of energy transfer per small area over time.


This unit is typically used in laboratory-scale physics, radiation experiments, and surface energy studies where small areas and low energy transfers are involved. Applications include:



  • Measuring radiation incident on tiny surfaces



  • Calorimetry experiments on small samples



  • Micro-scale energy transfer studies in materials science



Heat or energy flux can be expressed mathematically as:


q=EAtq = \frac{E}{A \cdot t}

where q is energy flux in erg/(h·mm²), E is energy in ergs, A is area in mm², and t is time in hours.


Conversion to SI units:


1erg/(h\cdotpmm²)2.78×108W/m²1 \, \text{erg/(h·mm²)} \approx 2.78 \times 10^{-8} \, \text{W/m²}

While largely of historical or specialized use, erg/(h·mm²) provides a convenient cgs-based measure for micro-scale, low-intensity energy transfer in scientific experiments.



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