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3流体モデルの構成方程式等の高度化に関する研究(3)

Study on improvement of constitutive equations and numerical methods for three-fluid model(3)

日本混相流学会*; 三流体詳細熱流動解析コード検討専門委員会*

The Japan Society of Multiphase Flow*; Special Committee for Examination of Thermohydraulic Analysis Code based on Three-Fluid Model*

本研究では、三流体モデルに基づく混相流の数値解析技術の高度化を目的として、(1)数値計算手法の改良、(2)質量輸送の構成方程式に関する調査検討、(3)抗力と剪断応力の構成方程式に関する検討、(4)水・蒸気系及び水・空気系実験データの構築と解析、(5)環状噴霧流の実験技術に関する調査、(6)基礎方程式に関する検討が3年間にわたって実施された。その結果、支配方程式の完全な多流体モデル化、三流体モデルの数値的安定性の解明、安定性に優れた解法の確立、適切性の判定、数学的に適切で物理的にも合理的な基礎方程式系の提示、液滴付着率、発生率に関する既存の構成方程式の定量的比較検討、界面せん断力、壁面摩擦、液膜厚さの理論的評価方法の提示がなされた。また、実験解析により、現状のFIDASのモデルにより、大気圧条件下の限界熱流束を精度良く予測できること、及び水・空気系環状噴霧流の液膜厚さ、液滴流量に関しても定性的に良好に予測できることが確認された。

The purpose of the present study is to improve a numerical prediction method for multiphase flows based on the three-fluid model. Conducted were (1)improvement of a numerical method, (2)survey and examination on constitutive equations for mass transfer terms in annular-mist flow, (3) survey and verification of constitutive equations for momentum transfer terms, (4)collection of experimental database on steam-water and air-water annular-mist flows and numerical analyses of the database to verify the prediction method, (5)extensivc survey on expelimental techniques for annular-mist flow and (6)examination on the governing equations. As a result, the following conclusions were obtained: (a)multi-fluid modeling for all flow regimes were completed, (b)numerical stability of the three-fluid model was darified, (c)stability-enhanced solution method was developed, (d)ill-posedness of the equation system was revealed, (c)a physically-rational and well-posed multi-fluid model was proposed for dispersed flows, (f)systematic survcy and evaluation of constitutive equations for entrainment and deposition were conducted and summarized, (g)a theoretical method for evaluating film thickness, interfacial shear stress and wall shear stress was presented, and (h)it was confirmed that FIDAS-1DS can accurately predict critical heat fluxes under atmosphelic pressure, and that it can givc qualitatively good predictions concerning film thickness, droplet flow rate and so forth of the air-water annular-mist flow.

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