Equation 3 · Part 1 · The Physical Plant: Power, Cooling, and Networks in an AI Datacenter

Symbol c_p

c_p

c_p

What this part means

the specific heat capacity.

Its job in the formula

$c_p$ is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Full expressionSymbol c_pArticle meaning

Where the article explains it

with mass flow $\dot{m}$ , specific heat capacity $c_p$ , and the temperature rise $\Delta$ T across the load.

The passage around this formula

with mass flow $\dot{m}$ , specific heat capacity $c_p$ , and the temperature rise $\Delta$ T across the load. What matters for a datacenter is not $c_p$ per kilogram but the volumetric heat capacity $\rho$ $c_p$ , because the room has to physically contain the flow.

Read this part in the article →

Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

Open the illustrated subscripts: which member of a family? guide →

See this notation across published equations →

Sources cited in the article section

[4] Emergence and Expansion of Liquid Cooling in Mainstream Data Centers ↗

These citations provide research context; check each source for the exact claim it supports.