Horsepower per Square Foot [hp/ft²]

The unit horsepower per square foot, written as hp/ft², measures power or energy flux density per unit area in the Imperial system. One horsepower (hp) is defined as 745.7 watts, representing the rate of doing work or energy transfer. Dividing by square feet gives the amount of power delivered or absorbed per unit area.

This unit is used in engineering, HVAC, and industrial applications to describe concentrated power distribution. Typical uses include:

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  Power output of engines or motors per area of a platform

  
  
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  Mechanical energy flux in manufacturing equipment

  
  
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  Evaluation of energy delivery systems on surfaces or panels

  
  

Mathematically, power flux can be expressed as:

where q is power per unit area (hp/ft²), P is power in horsepower, and A is area in ft².

Conversion to SI units:

Although W/m² is the SI standard, hp/ft² is convenient in U.S.-based applications and historical literature, providing an intuitive measure of high power density over a surface in familiar Imperial units.

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While SI units like W/m² are standard, Btu(th)/(s·in²) is useful in U.S. engineering, laboratory experiments, and historical references, providing an intuitive measure of high-intensity heat flux per square inch per second.