Cooling system equations

Theoretically, cooling time is proportional to the square of the heaviest part wall thickness and the largest runner diameter raised to the power of 1.6, and inversely proportional to the thermal diffusivity of the polymer melt.

Cooling time

These relationships are given by:

  • is the cooling time,
  • is the thickness at the thickest part of the part wall,
  • is the diameter of the largest runner, and
  • is the thermal diffusivity.

In other words, doubling the wall thickness quadruples the cooling time.

The thermal diffusivity of polymer melt is defined as:

where:
  • is the thermal conductivity
  • is the density
  • is the specific heat constant volume

Reynolds number and coolant flow

The type of coolant flow can be determined by the Reynolds number, , as listed in the following table.

Reynolds number () Type of flow
10,000 < Turbulent
2,300 < < 10,000 Transition
100 < < 2,300 Laminar
< 100 Stagnated
The Reynolds number is defined as:

where:
  • is the density of the coolant
  • is the averaged velocity of the coolant
  • is the diameter of the cooling channel
  • is the dynamic viscosity of the coolant