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Equation 6 · Part 1 · AI Datacenter Power and Cooling: A First-Principles Introduction

=

WUE=Annual Site Water UsageIT Equipment Energy,\mathrm{WUE} = \frac{\text{Annual Site Water Usage}}{\text{IT Equipment Energy}},
=

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

Water usage effectiveness fills that second gap, introduced by the same organization a few years before this decade’s AI buildout made it urgent: WUE=Annual Site Water UsageIT Equipment Energy\mathrm{WUE} = \frac{\text{Annual Site Water Usage}}{\text{IT Equipment Energy}}. reported in litres per kilowatt-hour and deliberately built to use “the same value… as the denominator for this new metric” as PUE, “to both ensure the metrics stay linked and speed their adoption” [ 6 ] . WUE exists because the cheapest way to reject a given amount of heat is very often evaporative — cooling towers and adiabatic assistance work against the wet-bulb temperature rather than the dry-bulb temperature, so they can reach a lower effective cooling temperature for less fan and compressor energy than a fully dry system…

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

Open the illustrated equality: what the equals sign claims guide →

Sources cited in the surrounding passage

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