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We study the size of large-scale motions in turbulent plane Couette flows atmoderate Reynolds number up to $Re_\tau$ = 500. Direct numerical simulationdomains were as large as $100\pi\delta\times2\delta\times5\pi\delta$, where$\delta$ is half the distance between the walls. The results indicate thatthere are structures with streamwise extent, as measured by the wavelength, aslong as 78$\delta$ and at least 310$\delta$ at $Re_\tau$ = 220 and 500,respectively. The presence of these very long structures is apparent in thespectra of all three velocity components and the Reynolds stress. In DNS usinga smaller domain, the large structures are constrained, eliminating thestreamwise variations present in the larger domain. Effects of a smaller domainare also present in the mean velocity and the streamwise velocity variance inthe outer flow.

Extreme-scale motions in turbulent plane Couette flows