Turbulence lecture 30

Turbulence lecture 30 - Turbulence Lecture 30 Turbulent...

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Turbulence Lecture 30 Turbulent Boundary Layers Basic Problem : Unsteady or steady – incompressible. a. External flows – to predict lift and drag characteristics. b. Internal flows – to predict pressure losses, and flow velocity profile uniformity. For both a and b, the prediction of the onset of flow separation is of interest (Also flow reattachment) External Flow : Internal Flow : 1
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a. Time averaged profile. (steady flow) b. Instantaneous profile. Note 0 w = for this case but because turb is 3D 0 w ′ ≠ Basic Reynolds Avg. equations apply. Continuity : () 0 if 0 UV xy UUx V ∂∂ += =⇒ Diverging streamlines – static P goes up. 3 equations, 6 unknowns U, V, P 22 u, u , vv x y ′′ Basic Method of Solution. 2
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Apply B.L. approximation to 2 P.D.E.s in terms of 3 unknowns ,, uv UV ′ ′ , and then integrate the equations across the B.L ( y -dir.) to convert to one O.D.E. (x-mo) in terms of 3 unknowns. () () () 12 , f Cx xH x θ / \ momentum shape factor thickness with auxiliary equations.
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This note was uploaded on 06/07/2011 for the course EGM 6341 taught by Professor Mei during the Spring '09 term at University of Florida.

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Turbulence lecture 30 - Turbulence Lecture 30 Turbulent...

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