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:

• 
  

  Solar radiation incident on small surfaces

  
  
• 
  

  Thermal testing of materials over time

  
  
• 
  

  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.

Metric Horsepower per Square Foot [hp(metric)/ft²]

The unit metric horsepower per square foot, written as hp(metric)/ft², measures power or energy flux density per unit area using metric horsepower. One metric horsepower is defined as 735.5 watts, slightly less than the mechanical (Imperial) horsepower of 745.7 W. Dividing by square feet gives the rate of power delivery or absorption per unit area.

This unit is used in engineering, industrial design, and energy flux studies where power distribution per unit surface area is analyzed. Applications include:

• 
  

  Mechanical equipment power output per platform area

  
  
• 
  

  Energy flux in industrial processes

  
  
• 
  

  Assessment of high-power machinery energy delivery

  
  

Mathematically, the power flux can be expressed as:

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

Conversion to SI units:

While W/m² is the SI standard, hp(metric)/ft² is convenient in regions using metric horsepower, especially in European engineering and historical industrial literature, providing an intuitive measure of high power density per unit surface area.