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Kinematics op Deformable Bodies
Review of Vector Analysis
The Theorems of Gauss Stokes and Green
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according angle arbitrary assume axis Bernoulli's equation boundary conditions calculation circular coefficients components compressible considered const constant corresponding cosh cross-section curl curve cylindrical denote determined differential equation direction displacement displacement vector dy dz elastic energy equal Euler's equations expression external force factor field flow formula function grad gravity hence hydrodynamic incompressible fluid inertia integral introduced laminar linear load longitudinal wave mathematical motion Navier-Stokes equations negative normal notation obtain orthogonal oscillations physical plane plate positive potential potential flow problem quadric quantities radius relation result Reynolds number right member rotation scalar shear shear stresses solution spherical strain strain tensor stress surface symmetry tensor theorem theory torsion transformation transverse wave tube turbulent vanishes variable vector velocity velocity potential viscous volume element vortex filaments vortex ring vortex tube vortices wave number x-surface zero