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Tavoularis, Stavros; Ganapathisubramani, Bharathram; McKeon, Beverley; Oberlack, Martin; Sung, Hyung Jin; Mydlarski, Laurent (Ed.)We derive analytically for the first time the downstream evolution of the boundary layer thickness and the friction ve- locity of the zero-pressure-gradient turbulent boundary layer (ZPGTBL). Lie groups were used to derive the downstream evolution and to obtain the full set of the similarity variables and the leading-order similarity equations. An approximate leading-order solution was obtained using matched asymp- totic expansions. The similarities and differences between ZPGTBL and turbulent channel flows in terms of the similarity equations are discussed to support the notion of leading-order universality of the near-wall layer.more » « less
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