← All parts of this equation

Equation 1 · Part 3 · How AI Datacenter Power and Cooling Actually Work

Symbol c_p

Q˙=m˙ cp ΔT\dot{Q} = \dot{m}\, c_p\, \Delta T
cpc_p

What this part means

its specific heat.

Its job in the formula

cpc_p is an input to the expression that computes the quantity on the left.

Where the article explains it

where Q˙\dot{Q} is the heat to be removed (watts), m˙\dot{m} is the coolant mass flow rate, cpc_p is its specific heat, and Δ\Delta T is the temperature rise the coolant is allowed across the cold plate.

The passage around this formula

…and fan power. The heat-removal budget for a cold plate loop follows directly from the sensible-heat relation: Q˙=m˙ cp ΔT\dot{Q} = \dot{m}\, c_p\, \Delta T. where Q˙\dot{Q} is the heat to be removed (watts), m˙\dot{m} is the coolant mass flow rate, cpc_p is its specific heat, and Δ\Delta T is the temperature rise the coolant is allowed across the cold plate. This is the one relationship every cooling-loop sizing decision in this article reduces to: a facility either raises m˙\dot{m} (bigger pumps, more flow, more pumping power) or accepts a larger…

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

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