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:

• 
  

  Power output of engines or motors per area of a platform

  
  
• 
  

  Mechanical energy flux in manufacturing equipment

  
  
• 
  

  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.

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:

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:

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.