Process Manufacturing worked example

Process Cooling Time at 14% approach-temperature and hold allowance: a worked example

Here is what the math looks like when conditions slip. We hold every other input steady and drop approach-temperature and hold allowance to 14%, then walk the calculation through step by step. Estimate cooling time from heat to remove, cooling rate, and process allowance.

The inputs for this scenario

  • Total heat to remove from the batch: 720,000 Btu (held at the documented default)
  • Effective cooling rate delivered: 15,000 Btu / min (held at the documented default)
  • Approach-temperature and hold allowance: 14 % (the input this scenario stresses; the baseline uses 20)

Working through the calculation

  • The calculation starts from the formula this tool documents: Base cooling time = heat to remove รท actual cooling rate.
  • required cooling time works out to 54.72 min at these inputs, and this is the headline figure for the scenario.
  • base cooling time works out to 48 min at these inputs.
  • cooling allowance applied works out to 14 % at these inputs.
  • actual cooling rate works out to 15,000 pieces / min at these inputs.

How this compares with the baseline

  • Against the tool's baseline example, where approach-temperature and hold allowance sits at 20% and the headline result is 57.6 min, this scenario comes in 5% below the baseline at 54.72 min.
  • The practical read: the gap between this scenario and the baseline is entirely attributable to approach-temperature and hold allowance, so recovering it is worth quantifying in dollars before considering equipment or staffing changes. Real cooling rate falls as the batch temperature nears the coolant, so a single flat rate plus a percent allowance is an approximation - the last few degrees of approach can take disproportionately long.

Results at a glance

  • required cooling time: 54.72 min (headline result)
  • base cooling time: 48 min
  • cooling allowance applied: 14 %
  • actual cooling rate: 15,000 pieces / min

Run it with your numbers

  • To rerun this with your own numbers, open the live Process Cooling Time calculator, set approach-temperature and hold allowance to your actual value, and adjust the remaining inputs to match your operation.

Last reviewed 2026-05-12.