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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.


Foot-Pound per Minute per Square Foot [ft·lb/(min·ft²)]


The unit foot-pound per minute per square foot, written as ft·lb/(min·ft²), measures energy flux density or power per unit area in the Imperial system. One foot-pound (ft·lb) is the energy required to move a force of 1 pound-force over a distance of 1 foot, equivalent to 1 ft·lb ≈ 1.35582 joules. Dividing by time (minutes) and area (ft²) gives the rate of energy transfer per unit area over time.


This unit is commonly used in U.S.-based engineering, building physics, and solar energy studies where energy flux through surfaces is measured. Applications include:



  • Heat transfer through walls, floors, or roofs



  • Solar radiation incident on building surfaces



  • Mechanical or thermal energy flux in industrial processes



Mathematically, the flux is expressed as:


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

where q is flux in ft·lb/(min·ft²), E is energy in foot-pounds, A is area in ft², and t is time in minutes.


Conversion to SI units:


1ft\cdotplb/(min\cdotpft²)0.2258W/m²1 \, \text{ft·lb/(min·ft²)} \approx 0.2258 \, \text{W/m²}

While modern practice favors W/m², ft·lb/(min·ft²) remains relevant in legacy U.S. building and thermal engineering literature, providing an intuitive measure of energy transfer per square foot per minute.





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