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ρcp\rho c_p

Why this formula appears here

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

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ρ\rho

Symbol ρ

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ρcp\rho c_p

Equation 6 · Datacenters & Infrastructure

The Physical Plant: Power, Cooling, and Networks in an AI Datacenter

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

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

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