https://www.cfd-online.com/W/index.php?title=Talk:Reynolds_averaging&feed=atom&action=historyTalk:Reynolds averaging - Revision history2017-03-25T20:56:26ZRevision history for this page on the wikiMediaWiki 1.16.5https://www.cfd-online.com/W/index.php?title=Talk:Reynolds_averaging&diff=12386&oldid=prevLucionas: New page: As far as I recon, what Reynolds did was actually velocity splitting to its mean and relative value (as it is in this case), with respect to spatial coordinates, not time. Hence I see rath...2010-09-16T09:22:37Z<p>New page: As far as I recon, what Reynolds did was actually velocity splitting to its mean and relative value (as it is in this case), with respect to spatial coordinates, not time. Hence I see rath...</p>
<p><b>New page</b></p><div>As far as I recon, what Reynolds did was actually velocity splitting to its mean and relative value (as it is in this case), with respect to spatial coordinates, not time. Hence I see rather mistakenly assumed, that Reynolds did time-averaging. It is more likely spatial, and it even brings more sense to Reynolds stress tensor as occurring from differences in velocities in two adjacent volumes, not in two different time instances.<br />
As obvious as it may seem, that the solution obtained with time averaging for N-S equations brings about same results as in Reynolds paper, the difference lies within averaging respect (temporal vs. spatial in his original paper).<br />
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I would gladly hear anyone else's opinion in this matter.<br />
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*see, ''Osborne Reynolds, On the Dynamical Theory of Incompressible Viscous Fluid and the Determination of the Criterion, Phil. Trans., vol.186, p.123, 1895''</div>Lucionas