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Btu (th) per Second per Square Foot [Btu(th)/(s·ft²)]


The unit Btu (th) per second per square foot, written as Btu(th)/(s·ft²), measures heat flux density or thermal power per unit area using the thermochemical British Thermal Unit (1 Btu(th) = 1054.35 J). It represents the amount of heat energy transferred through 1 square foot of surface every second.


This unit is commonly used in high-intensity heat transfer applications, industrial processes, solar energy studies, and material testing, especially where energy flux over relatively large surfaces is significant. Applications include:



  • Heat flux from furnaces, radiators, or heaters



  • Solar radiation received by panels or flat surfaces



  • Thermal testing of building or industrial materials



Mathematically, heat flux is expressed as:


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

where q is heat flux in Btu(th)/(s·ft²), Q is energy in Btu(th), A is area in ft², and t is time in seconds.


Conversion to SI units:


1Btu(th)/(s\cdotpft²)1220W/m²1 \, \text{Btu(th)/(s·ft²)} \approx 1220 \, \text{W/m²}

Although W/m² is the SI standard, Btu(th)/(s·ft²) remains useful in U.S. engineering, thermal studies, and historical literature, providing an intuitive measure of high-intensity heat flux per square foot per second.


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.



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