Calorie (th) per Hour per Square Centimeter [cal(th)/(h·cm²)]

The unit calorie (th) per hour per square centimeter, written as cal(th)/(h·cm²), measures heat flux density or thermal power per unit area using the thermochemical calorie (1 cal(th) = 4.184 J). It represents the amount of heat energy transferred through 1 cm² of surface in 1 hour.

This unit is often used in solar energy studies, calorimetry experiments, and building physics, especially when small surface areas and long durations are considered. Typical applications include:

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  Solar radiation incident on small surfaces

  
  
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  Thermal testing of materials over time

  
  
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  Calorimetry experiments

  
  

Mathematically, heat flux is expressed as:

where q is heat flux in cal(th)/(h·cm²), Q is energy in calories, A is area in cm², and t is time in hours.

Conversion to SI units:

While SI units such as W/m² are standard, cal(th)/(h·cm²) remains convenient in small-scale laboratory and historical studies, providing an intuitive way to quantify energy transfer per hour per unit area.

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.