8. Approximate Prediction of Flow Field around Ship Stern by Asymptotic Expansion Method
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The separated ship stern flow field is divided into five subregions according to the flow characteristics; potential flow region, boundary layer region, vorticity diffusion region, separated retarding region and viscous sublayer. This is because experimental studies suggest no single approximation of Navier-Stokes equation is valid for the whole flow field. The asymptotic expansions of velocity or vorticity for each region are assumed by using a small parameter R_e^-<1/8>, where R_e is the Reynolds number. Governing equations for each region are obtained by substituting the asymptotic expansions and picking up the leading terms; vorticity diffusion equation, elliptic type equation including the Reynolds stress terms and laminar boundary layer equation are obtained for the vorticity diffusion region, the separated retarding region and the viscous sublayer respectively. Numerical calculations are carried out for a flat plate with zero attack angle and a tanker ship model with a simple stern form and compared with experimental data. Promissing results are obtained.
- 社団法人日本船舶海洋工学会の論文
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