Formula · 3 min read

Approach temperature & derating

Approach temperature is the gap between coolant supply and room air temperature: approach = Tcoolant − Tair. Liquid-to-air capacity scales roughly linearly with it — which is why a cabinet rated 86.5 kW at 45 °C coolant / 25 °C air (Vertiv XDU070) delivers about half at 35 °C air.

Formula

capacity ≈ rated × (approach / approachrated)  ·  approach ≤ 5 °C → ≈ 0

A heat exchanger transfers heat in proportion to the temperature difference across it. When room air warms from 25 °C to 35 °C, the approach on a 45 °C coolant loop falls from 20 °C to 10 °C and capacity halves. Below roughly 5 °C of approach, the exchanger can no longer move meaningful heat — capacity collapses. This is the first-principles reason hot climates derate everything.

Worked example

50 kW-class @ 45 °C / 25 °C:  25 °C → 50 kW · 30 °C → 37.5 kW · 35 °C → 25 kW · 40 °C → ≈ 0

Try it

50.0 kW at approach 20 °C · 100% of rated
✅ 100% of rated capacity available at 25 °C air

Common mistakes

  • Comparing nameplate to a tropical room. Nameplate capacity is quoted at 25 °C air / 45 °C coolant. At 35 °C ambient you get roughly half; buy the derated number, not the brochure number.
  • Chasing capacity by lowering coolant temperature. Below the room's dew point, supply lines and cold plates condense water onto live electronics. This is exactly what ASHRAE W-classes exist to prevent — coolant temperature is a floor, not a free lever.
  • Forgetting the model is linear. Real capacity curves bow (fan power, flow limits); always get the vendor's capacity-vs-ambient table. The linear model here is the honest first pass — Vertiv is one of the few publishers of real curves (XDU070).

Related

Derating simulator (full curve) · Rack builder applies this model live · Hot & tropical climates · Coolant flow rate

Sources

Model anchored to Vertiv CoolChip CDU 70 (XDU070): 86.5 kW at 45 °C coolant / 25 °C air — datasheet SL-71252 and application guide SL-71111 (published capacity-vs-ambient curves).