Abstract

Here ot is the small attack angle;/z is the shear modulus; l is the length of the sheet in the plane xy; p is the density of the medium; V is the travel speed of the sheet; ~ is Poisson's coefficient; m is Mach's number; c 2 is the speed ofthe lateral waves; qs is the dimensionless resistance coefficient. The dependence qs = qs(m) is shown in Fig. 2. For comparison, the same graph gives the corresponding curve for a compressible liquid [2] whose compressibility is equal to that of the elastic medium and the speed of sound is equal to the speed of longitudinal waves in the elastic medium. As indicated by Fig. 2, the resistance decreases with an increase of the speed and disappears at the Rayleigh speed V = c R = c2m R, where m R is the root of the equation

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