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Equation 8 · Part 3 · How AI Datacenter Power and Cooling Actually Work

Symbol c_p

Q˙=m˙cpΔT\dot{Q} = \dot{m} c_p \Delta T
cpc_p

What this part means

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

Its job in the formula

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

The passage around this formula

Heat reuse imposes a real constraint back onto the cooling-loop design, and it is a direct consequence of the Q˙\dot{Q} = m˙\dot{m} cpc_p Δ\Delta T relation above: a district heating network needs delivery water above some useful temperature (often 60–90°C depending on the network), which is far above what a direct-to-chip loop returns on its own. A heat pump bridges that gap, but every heat pump has a coefficient of performance…

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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.

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Sources cited in the article section

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