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Additional info for Aircraft Hydraulics Manual - Ju-88 A-4 Werkschrift, Teil 9C, [Hydraulische Anlage]

Example text

A) A schematic of the two domains used by Neale and Nader for permeability prediction. (b) Variation of inverse of the square root of the normalized permeability with respect to porosity. 36) \7. 37) 38 2. Fluid Mechanics porous medium (~ ~ r ~ 00) : V'. U = O. 39) The boundary conditions are the no-slip condition on Rand the asymptotic (free stream) velocity for r -+ 00. In addition, at the interface between the plain and porous media, they match the jictitious shear stress and the pressure. 11.

46) where 7]i, ~i, and Xi are the solid spherical harmonics and are written in terms of the associated Legendre function The harmonics are given in the form r i (cos O)e( _1)1/2j

41 ) with e( a, ß) -+ 1 as f/ d -+ 00, and the Stokes drag force f. is recovered. 8(b). One reason for the success of the application of the Brinkman equation in the determination of the permeability is that it predicts a boundarylayer thickness (or the distance over which the velo city disturbance decays) , which is of the order of J{1/2, a distance that is physically reasonable when accounting for the partiele-partiele hydrodynamic interaction. This distance is called the Brinkman screening length.

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Aircraft Hydraulics Manual - Ju-88 A-4 Werkschrift, Teil 9C, [Hydraulische Anlage]


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