Watt per Square Meter [W/m²]

The unit watt per square meter (W/m²) measures heat flux density or radiant flux, representing the amount of energy transferred per unit area per unit time. One watt equals 1 joule per second, so 1 W/m² corresponds to 1 joule of energy passing through 1 square meter every second.

This unit is widely used in physics, engineering, meteorology, and solar energy studies to quantify energy transfer rates across surfaces. Examples of applications include:

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  Solar radiation: measuring sunlight incident on a surface

  
  
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  Heat transfer: quantifying conduction or convection per unit area

  
  
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  Building energy analysis: evaluating heat gain or loss through walls and roofs

  
  

Mathematically, the heat flux is expressed as:

where q is heat flux in W/m², Q is energy in joules, A is area in square meters, and t is time in seconds.

For example, solar constant at Earth’s surface is approximately 1361 W/m², indicating the power received per square meter from the Sun outside Earth’s atmosphere.

W/m² is the standard SI unit for energy flux density, replacing older units like cal/cm²·s or Btu/ft²·h, and is essential for thermal engineering, climatology, and renewable energy calculations.

Btu (th) per Second per Square Inch [Btu(th)/(s·in²)]

The unit Btu (th) per second per square inch, written as Btu(th)/(s·in²), 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 inch of surface every second.

This unit is commonly used in high-intensity thermal applications, engineering experiments, and solar energy studies where energy flux over small surfaces is significant. Typical applications include:

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  Heat flux from industrial furnaces or radiative heaters

  
  
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  Solar radiation on concentrated panels or small surfaces

  
  
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  Thermal testing of materials under high-intensity conditions

  
  

Heat flux can be expressed mathematically as:

where q is heat flux in Btu(th)/(s·in²), Q is energy in Btu(th), A is area in in², and t is time in seconds.

Conversion to SI units:

While SI units like W/m² are standard, Btu(th)/(s·in²) is useful in U.S. engineering, laboratory experiments, and historical references, providing an intuitive measure of high-intensity heat flux per square inch per second.