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On the effects of turbulence on a screw dynamo

机译:湍流对螺旋发电机的影响

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In an experiment in the Institute of Continuous Media Mechanics in Perm (Russia) a non-stationary screw dynamo is intended to be realized with a helical flow of liquid sodium in a torus. The flow is necessarily turbulent, that is, may be considered as a mean flow and a superimposed turbulence. In this study, the induction processes of the turbulence are investigated within the framework of mean-field electrodynamics. They imply, of course, a part which leads to an enhanced dissipation of the mean magnetic field. As a consequence of the helical mean flow there are also helical structures in the turbulence. They lead to some kind of alpha-effect, which might basically support the screw dynamo. The peculiarity of this alpha-effect explains measurements made at a smaller version of the device envisaged for the dynamo experiment. The helical structures of the turbulence lead also to other effects, which in combination with a rotational shear are potentially capable of dynamo action. A part of them can basically support the screw dynamo. Under the conditions of the experiment all induction effects of the turbulence prove to be rather weak in comparison to that of the main flow. Numerical solutions of the mean-field induction equation show that all the induction effects of the turbulence together let the screw dynamo threshold slightly, at most by a few percent, rise. The numerical results also give some insights into the action of the individual induction effects of the turbulence.
机译:在彼尔姆(俄罗斯)的连续介质力学研究所进行的一项实验中,非平稳的螺旋发电机旨在通过环面中液态钠的螺旋流实现。该流动必定是湍流的,也就是说,可以认为是平均流动和叠加的湍流。在这项研究中,在平均场电动力学的框架内研究了湍流的诱导过程。当然,它们暗示了导致平均磁场耗散增强的部分。由于螺旋平均流,在湍流中也存在螺旋结构。它们会导致某种Alpha效果,这可能基本上可以支持螺杆发电机。这种阿尔法效应的独特性解释了在发电机实验所设想的设备的较小版本上进行的测量。湍流的螺旋结构还导致其他效果,这些效果与旋转剪切力结合可能具有发电机作用。它们的一部分基本上可以支撑螺杆发电机。在实验条件下,与主流相比,湍流的所有诱导作用都被证明是相当弱的。平均场感应方程的数值解表明,湍流的所有感应效应共同使螺杆发电机的阈值略微上升,最多上升几个百分点。数值结果也为湍流的各个感应效应的作用提供了一些见识。

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