二次元流れの数値解と可視化実験

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タイトル別名
  • NUMERICAL SOLUTIONS AND VISUAL EXPERIMENTS FOR TWO-DIMENSIONAL FLOW
  • 2ジゲン ナガレ ノ スウチ カイ ト カシカ ジッケン

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説明

In the study on air distribution of ventilated room space, we have obtained the numerical solutions and the experimental results. The purpose of this paper is to investigate the comparison of the numerical solutions with the visual flow patterns obtained by experiments. In our method of numerical calculation, we used the vorticity transport equation based on Navier-Stokes equations and an equation of continuity. Calculating ∂^2Ω/∂T^2 by partial difference of the vorticity transport equation with respect to dimensionless time T, we obtained a higher accuracy of ∂Ω/∂T. We used these finite difference equations and obtained satisfactory results. The shape of the room model was square, putting an inlet at the top of the left side wall and an outlet at the bottom of the same wall. Computations were solved with a 40×40 mesh. An isothermal, incompressible and viscous fluid was assumed, and a flow was two-dimensional. Visual experiments were made to examine these numerical solutions. Water was used as a fluid in these experiments, and Alminium dust was used to make the flow visible. We conducted these experiments under the same boundary conditions as those of the numerical calculations. Numerical solutions of R_e=100 were compared with the experimental results of the patterns of the main flow, dominant vortex and corner vortices. These numerical solutions agree qualitatively with the experimental results.

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