摘要
本文放弃湍流粘性假设,直接从雷诺应力输运方程推导出雷诺应力显式表达式。利用这个表达式重新构造动量方程,引入各向异性k方程和ε方程,建立了新的湍流数学模型一各向异性k-ε模型。利用实验结果和后台阶流场计算结果验证表明:这个雷诺应力表达式大大优于湍流粘性假设,由此建立的各向异性k-ε模型不仅能够准确地模拟复杂流场的速度,而且能够成功地反映流场的湍动能、雷诺应力等湍流特征量,对回流区长度的模拟也非常成功。
In this paper the eddy viscosity hypothesis was given up and the explicit expressions of Renolds stresses have been deduced directly from the transport equations of Renolds stresses. By using of these expressions and introducing anisotropic κ equation and ε equation, an anisotropic κ-ε model has been established. Having analyzed the explicit expressions of Renolds stresses with experimental data, we find that the new expressions are much more accurate than the eddy viscosity hypothesis in simulating the turbulent flow. The results to compute the flow over a backward-facing step with anisotropic κ-ε Model show that this model can simulate not only the velocity of tubbulent flow, the secondary vortex and the shape and length of circular area in complex turbulent flow accurately, but also the turbulent quantities, such as the turbulent kinetic energy, dissipation rate and Renolds stresses.
出处
《水动力学研究与进展（A辑）》
CSCD
北大核心
1993年第B12期617-624,共8页
Chinese Journal of Hydrodynamics
基金
成都科技大学青年科学基金
关键词
雷诺应力
湍流
流体力学
Reynolds stress, anisotropic κ-ε model, flow over a backward-fcing step
