Separate application of the membrane theory and the bending-moment theory to the calculation of shallow shells
Splitting state of stress in paraboloid or cylindrical shallow shell into membrane and bending stresses
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Splitting state of stress in paraboloid or cylindrical shallow shell into membrane and bending stresses
Factors affecting flutter characteristics calculated for two swept wings
Equilibrium parameters of electron gas in positive background
Convergent kinetic equation for electron gas in positive background, dividing Coulomb potential into short range and weak parts
Photoelectron counting statistics produced by fully quantum mechanical laser
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The generation and the transmission of sound in turbulent flows are treated as one of the several aspects of wave propagation in turbulence. Fluid fluctuations are decomposed into orthogonal Fourier components, with five interacting modes of wave propagation: two vorticity modes, one entropy mode, and two acoustic modes. Wave interactions, governed by the inhomogeneous and nonlinear terms of the perturbed Navier-Stokes equations, are modeled by random functions which give the rates of change of wave amplitudes equal to the averaged interaction terms. The statistical framework adopted is a quantum-like formulation in terms of complex distribution functions. The spatial probability distributions are given by the squares of the absolute values of the complex characteristic functions. This formulation results in nonlinear diffusion-type transport equations for the probability densities of the five modes of wave propagation.
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