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Equation 4 · The Physical Plant: Power, Cooling, and Networks in an AI Datacenter

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ΔT\Delta T

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the temperature rise. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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ΔT\Delta T

Symbol Δ T

the temperature rise.

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change

change

Capital delta attached to a quantity marks a difference between two values of that quantity; the article’s sign convention determines the order.

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How to interpret it

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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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