By Kirill V. Rozhdestvensky
This ebook describes a mathematical version of stream previous a lifting procedure acting regular and unsteady movement in shut proximity to the underlying good floor (ground).
The writer considers quite a few approximations according to the final approach to matched asymptotic expansions utilized to lifting flows. specific value is connected to the case of maximum flooring results describing very small relative floor clearances. Practitioners all for the layout of wing-in-ground influence automobiles will locate during this e-book the entire proper formulae and calculated info for the prediction of aerodynamic features during this very important proscribing case. extra mostly, this e-book is appropriate for graduate scholars, researchers and engineers operating or lecturing within the region of theoretical aerodynamics.
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Additional resources for Aerodynamics of a Lifting System in Extreme Ground Effect
14) Y = YI(X, z, t). 15) In the steady case, this parameter coincides with the relative ground clearance h measured at the trailing edge. 16) Y = Yg(x, z, t). , to the plane Y = 0, epi = epi (x, z, t). 19) where f**(x, z) is an unknown function. 22) where h* = h*(x, z, t)/h o = Yl - Yg, h*(x, z) = Yl(X, z) - Yg(x, z) is the instantaneous distribution of the gap between the wing and the ground. 22) in a twodimensional domain S bounded by the wing planform contour. The boundary conditions for epi at the leading hand trailing edges l2 of the lifting surface will be obtained by matching.
2. 1 Formulation of the Three-Dimensional Unsteady Flow Problem Consider a wing of small thickness and curvature, performing an unsteady motion above asolid nonplanar underlying surface in an ideal incompressible fluid l (see Fig. 1). Assume that motion of the wing is the result of superposition of the main translational motion with variable speed U(t) and small vertical motions due to heave, pitch, and possible deformations of the lifting surface. Introduce a moving coordinate system in which the axes x and z are located upon an unperturbed position of the underlying boundary (the ground).
5 Matching of Flow Descriptions in Different Regions 37 • In the second stage, match the channel fiow potential