Analytical Theory of TurbulenceAuthorsolutions |
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analysis axes axis binary interactions boundary condition Cheng chord coefficient constant convective velocity u(x coordinate plane D/Dt diffusive dispersion Dirac impulses dispersive waves dynamics elliptic region equilibrium Eulerian exponential flow field flow patterns flow problems fluid Fourier series gradient type diffusion harmonic hyperbolic region impulsive induced velocity inflection point initial boundary data initial data integration inviscid vorticity Lagrangian coordinates laminar sublayer Laplace equation linear logarithmic singularity longitudinal lower bound Mach number Mach waves mean convective velocity moving origin nonlinear wave one-dimensional orthogonal partial differential perturbation velocity Poisson equation potential function propagating quasi-equilibrium quasi-steady residual divergences Reynolds number rotational motions scalar velocity potential second-order sonic line spiral strong interaction tangent term trajectory envelope transonic transverse turbulent disturbances turbulent flows variables vector potential velocity components velocity potential velocity profile viscous vorticity vorticity potential zero ди მ მ მე