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Equation 6 · The Physical Plant: Power, Cooling, and Networks in an AI Datacenter

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ρcp\rho c_p

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ρ\rho

Symbol ρ

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

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cpc_p

Symbol c_p

the specific heat capacity.

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subscript

subscript

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

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What the article says around this equation

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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