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레이놀즈응력 수송방정식 모형에 의한 폴리머 항력감소 난류 채널유동의 예측

Prediction of Polymer Drag-Reduction Turbulent Channel Flow with a Reynolds Stress Transport Equation Model

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키워드

주제분류기계공학

초록

An elliptic blending Reynolds stress transport equation model for Newtonian fluids has been extended to predict polymer-induced drag reduction FENE-P fluids. The conformation tensor equation which is related to the polymer stress is adopted from the model form of Resende et al., and the models of redistribution and dissipation rate terms for the Reynolds stress transport equation are considered by the elliptic blending equation. Also, the new model terms for viscoelastic turbulent transport and viscoelastic dissipation in the Reynolds stress transport equation are introduced to consider the polymer additives effect. The prediction results are directlycompared to the DNS data to assess the performance of the present model predictions.

Abstract

An elliptic blending Reynolds stress transport equation model for Newtonian fluids has been extended to predict polymer-induced drag reduction FENE-P fluids. The conformation tensor equation which is related to the polymer stress is adopted from the model form of Resende et al., and the models of redistribution and dissipation rate terms for the Reynolds stress transport equation are considered by the elliptic blending equation. Also, the new model terms for viscoelastic turbulent transport and viscoelastic dissipation in the Reynolds stress transport equation are introduced to consider the polymer additives effect. The prediction results are directlycompared to the DNS data to assess the performance of the present model predictions.

참고문헌 (6)

  1. P.R. Resende, "Development of a Low-Reynoldsnumber <TEX>${\kappa}-{\omega}$<", TEX> Model for FENE-P Fluids, 2013, pp.90, 69~94
  2. F.T. Pinho, "A Low Reynolds Number Turbulence Closure for Viscoelastic Fluids", J. NonNewtonian Fluid Mechanics, 154, pp.89~108 (2008)[DOI]
  3. P.R. Resende, "A FENE-P <TEX>${\kappa}-{\epsilon}$<", TEX> Turbulence Model for Low and Intermediate regimes of Polymer-Induced Drag Reduction, 2011, pp.166, 639~660
  4. 신종근, "타원혼합모형에 의한 폴리머 항력감소 난류유동의 예측", 한국기계기술학회지, 15(5), pp.653~660 (2013), 한국기계기술학회[DOI]
  5. L. Thielen, "Prediction of flow and heat transfer in multiple impinging jets with an elliptic-blending secondmoment closure", Int. J. Heat Mass Transfer, 48, pp.1583~1598 (2005)[DOI]
  6. 조기현, "동력경운기용 고구마 수확기 개발", 한국기계기술학회지, 11(2), pp.33~37 (2009), 한국기계기술학회[DOI]

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