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The Vertical 2D Second-Moment Reynolds Stress Model for Stratified Turbulent Shear Flow

Author(s): Chu Kejian; Hua Zulin

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Keywords: Vertical two-dimensional; RSM; Lateral integral; The Finite Volume Method; Stratified flow; Anisotropy

Abstract: The vertical two-dimensional second-moment Reynolds stress model is derived and established from lateral integral to 3D second-moment Reynolds stress model with employment of Leibnitz formula, according to the outstanding vertical anisotropy introduced by stable stratification of density stratified flow. The governing equations are discretized using the Finite Volume Method. Segregated algorithm is employed to solve the governing integral equations and SIMPLEC pressure correction algorithm is conducted during the process of iterative calculation. The present model is tested with two thermally stratified turbulent shear flow cases in stable and neutral stratification status respectively. The average relative errors based on the comparisons between calculated and measured values of velocity and temperature are 8.47% and 2.83% respectively, while the calculated turbulent kinetic energy and Reynolds stress profiles are basically consistent with the experimental ones. Good agreement is found between experimental data and computed results.

DOI:

Year: 2009

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