A brewing vessel is calibrated by adding heated strike water to it and measuring the temperature decay of the water over time. This provides two calibration constants; the vessel's heat capacity, cv [J/K], and its heat loss coefficient, hlc [W/K].
The assumptions here are:
- The heat loss during the initial 5 minutes can be included into the vessel's heat capacity calculations
- The heat loss from 5 minutes on can be attributed to exponential heat loss through the vessel walls
- The specific heat of ingredients and the vessel's heat capacity are constant
Note that Mathcad uses implicit unit conversions, you may need to do this explicitly in your code.