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.

Watt per Square Centimeter [W/cm²]

The unit watt per square centimeter (W/cm²) measures heat flux density or radiant flux, representing the amount of energy transferred per unit area per unit time, with the area measured in square centimeters. One watt equals 1 joule per second, so 1 W/cm² corresponds to 1 joule of energy passing through 1 cm² every second.

This unit is often used in high-intensity applications such as:

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  Laser systems measuring power density on a target

  
  
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  Plasma or arc discharge studies

  
  
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  Industrial thermal processes where energy is concentrated on small surfaces

  
  

The relationship can be expressed mathematically as:

where q is heat flux in W/cm², Q is energy in joules, A is area in cm², and t is time in seconds.

Conversion to SI units:

While W/m² is the standard SI unit for most applications, W/cm² is convenient for small-area, high-intensity measurements, such as in laboratory-scale experiments, laser technology, and materials testing, where energy is concentrated over very small surfaces.