By Kirill V. Rozhdestvensky
This e-book describes a mathematical version of move previous a lifting approach appearing regular and unsteady movement in shut proximity to the underlying strong floor (ground).
The writer considers a variety of approximations in accordance with 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 flooring clearances. Practitioners fascinated by the layout of wing-in-ground influence cars will locate during this booklet the entire suitable formulae and calculated info for the prediction of aerodynamic features during this vital proscribing case. extra usually, this ebook is appropriate for graduate scholars, researchers and engineers operating or lecturing within the sector of theoretical aerodynamics.
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Extra info for Aerodynamics of a Lifting System in Extreme Ground Effect
22 Introduction Barber et al.  applied RANS equations with a k-c turbulence model to investigate the influence of a boundary condition on the ground on the resulting calculated aerodynamic characteristics of a foH in two-dimensional viscous flow. The authors aimed at discerning differences in the existing modelling technique of ground effect aerodynamics. 2 x 106 • In another paper by the same authors , the RANS technique was used to analyze the deformation of an air-water interface, caused by a wing flying above the water surface.
114) • Channel fiow equation for the extreme ground effect: ~ (h* 8'Ph ) + ~ (h* 8'P11) 8x 8x 8z 8z = U(t) 8h* _ 8h* . 8x • Boundary condition at the leading (side) edge 'Ph = 0, h: 8t (x, z) E ll. 116) • Boundary condition at the trailing edge l2: 2 [8'Ph U(t) _ 8'P11] _ (8'P11)2 _ (8'Ph)2 = 0, 8x 8t 8x 8z (x, z) E l2. 117) 46 2. Problem Formulation Comment on the Definition of the Leading and Trailing Edges in a Nonlinear Formulation. So far the notions of the leading (side) edge and trailing edges have been dealt with without attention to the questions: Where does the transition lie between these and how can we determine the position of the corresponding transition point'?
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. 22) can be interpreted as the equation of mass conservation in a highly constrained channel flow region with 28 2.