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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >Experimental study of the constitutive equation for an axisymmetric complex turbulent flow
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Experimental study of the constitutive equation for an axisymmetric complex turbulent flow

机译：轴对称复杂湍流本构方程的实验研究

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Nonlinear constitutive equations have been proposed to overcome the limitations of linear eddy-viscosity models to describe complex turbulent flows. These new equations have been mainly indirectly compared to experimental data, through the outputs of numerical models. A is proposed in this paper do directly check the constitutive equation using a projection of the stress tensor onto a tensor basis. The test case chosen is a complex axisymmetric flow generated by a double annular burner. Measurements have been taken on a fine grid, enabling the local estimate of the stress and strain tensors. A map of the Prandtl mixing-length is then given, together with the experimental evaluation of several invariants of the flow. The nonlinear constitutive equation is then tested using a 4 terms development. The angles of the stress tensor with the terms of the tensor basis are plotted, indicating which direction is predominant for each region of the flow. The different invariants are finally used to experimentally estimate the dissipation rate. [References: 35]
机译：提出了非线性本构方程来克服线性涡流-粘度模型描述复杂湍流的局限性。这些新方程主要通过数值模型的输出间接地与实验数据进行了比较。本文提出的A直接使用应力张量到张量的投影来直接检查本构方程。选择的测试用例是由双环形燃烧器产生的复杂轴对称流。已经在细网格上进行了测量，从而可以局部估计应力和应变张量。然后给出了Prandtl混合长度的图，以及流的几个不变量的实验评估。然后使用4项展开测试非线性本构方程。绘制了应力张量与张量基础的夹角，表明了在每个流动区域中哪个方向是主要的。最后，将不同的不变式用于实验估算耗散率。 [参考：35]

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