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Unformatted text preview: 5 . 3 at 99 . ) ( β = β² Ξ· f : x V vx vx V vx V y 2 5 . 3 2 5 . 3 2 % 99 % 99 as grows layer boundary β = β = = β β β Ξ΄ Typically, this result is written βnon dimensionallyβ as: x v x V x x x on based number s Reynold' where β β‘ = Re Re . 5 % 99 We can also find: x w f x x V C x x Re 664 . 2 1 Re 664 . Re 7208 . 1 2 * = = = = β β Ο Ο ΞΈ Comment: β At leading edge of a flat plate β β β f C x gives this and ! β In reality, the leading edge of an infinitely thin plate would have very large, but not infinite f C . β The problem is that near the leading edge of a thin plate, the boundary layer equations are not correct and the NavierStokes equations are needed. Question: Why did the boundary layer approximation fail at β x ?...
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 Fall '03
 willcox
 Dynamics, Fluid Dynamics, Aerodynamics, Boundary Layer Equations, FalknerSkan Solutions

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