Fundamental viscous solutions or 'transient oseenlets’ associated with a body manoeuvring in a viscous fluid

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DOI: 10.1098/RSPA.1992.0118

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摘要: A viscous boundary element method involving a convolution-integral formulation is developed to determine directly the fluid actions and velocity flow field associated with body manoeuvring in fluid. The proposed general approach analogous potential singularity distribution panel replaced by fundamental solution. From nonlinear mathematical model based on an integral identity relation, it seen that Oseen equation, its variant or modified form central theoretical development of Analytical expressions are presented for solutions (or transient oseenlets) appropriate two-dimensional three-dimensional steady, unsteady (transient) problems prescribed translational, rotational their combined motions. examples considered, hence solutions, relate towing tank experiments (i.e. steady state, rotating arm, planar motion mechanism oscillatory tests, etc.) used extensively derive action data ships submersibles. Examples translational motions investigated these elementary idealization propeller axial moving ahead parasitic roll motion. predicted patterns various clearly illustrate generation, shedding decay vortices wakes.

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