벽 경계를 갖는 전단유동에서 난류 열유속 대수모형의 개선
Improvement of an Algebraic Model for Turbulent Heat Flux in Wall Bounded Shear Flows
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초록
An algebraic model for turbulent heat fluxes which is originally suggested by Suga & Abe ismodified on the basis of the elliptic blending equation. In order to satisfy the heat transfer characteristicsof near-wall region and the flow center region far away from the wall, the model coefficients of thealgebraic heat flux model are modified by using the solution of the elliptic blending equation. Thepredictions of turbulent heat transfer in a plane channel flow have been carried out with constant wallheat flux and constant wall temperature difference boundary conditions respectively. Also, the predictionsare performed at various Prandtl numbers to test the applicability of the model. The prediction resultsshow that the distributions of the turbulent heat fluxes and mean temperature are well captured by themodified algebraic heat flux model.
Abstract
An algebraic model for turbulent heat fluxes which is originally suggested by Suga & Abe ismodified on the basis of the elliptic blending equation. In order to satisfy the heat transfer characteristicsof near-wall region and the flow center region far away from the wall, the model coefficients of thealgebraic heat flux model are modified by using the solution of the elliptic blending equation. Thepredictions of turbulent heat transfer in a plane channel flow have been carried out with constant wallheat flux and constant wall temperature difference boundary conditions respectively. Also, the predictionsare performed at various Prandtl numbers to test the applicability of the model. The prediction resultsshow that the distributions of the turbulent heat fluxes and mean temperature are well captured by themodified algebraic heat flux model.
참고문헌 (7)
- B. J. Daly, "Transport Equation in Turbulence", Physics of Fluids, 13, pp.2634~2649 (1970)
- L. Thielen, "Prediction of Flow and Heat Transfer in Multiple Impinging Jets with an Elliptic-blending Second-moment Closure", Int. J. Heat Mass Transfer, 48, pp.1583~1598 (2004)
- P. M. Wikstrom, "Derivation and Investigation of a New Explicit Algebraic Model for the Passive Scalar Flux", Physics of Fluids, 12(3), pp.688~702 (2000)
- K. Suga, "Nonlinear Eddy Viscosity Modelling for Turbulence and Heat Transfer Near Wall and Shear-free Boundaries", Int. J. Heat Fluid Flow, 21, pp.37~48 (2000)
- 신종근, "타원혼합 방정식을 사용하는 k-∈-v2 난류모형", 한국기계기술학회지, 15(3), pp.401~406 (2013), 한국기계기술학회
- 신종근, "타원혼합모형에 의한 폴리머 항력감소 난류유동의 예측", 한국기계기술학회지, 15(5), pp.653~660 (2013), 한국기계기술학회
- DNS of Turbulence and Heat Transport in a Channel Flow with Different Reynolds and Prandtl Numbers and Boundary Conditions, "H. Kawamura", 15~32, pp.Turbulence, Heat and Mass Transfer 3 (2000)