聚变堆液态包层准二维磁流体湍流模型研究

为研究聚变堆氚增殖包层中液态金属湍流磁流体动力学(MHD)效应，开发了一种新的准二维单方程 MHD 湍流模型，并进行了相关数值模拟程序的编制及验证。对于矩形管道中的准二维 MHD 湍流流动，三维流 动主要发生在哈德曼层中，中心的主流区呈现出二维流动。为了反映这种特殊的流动特征，新湍流模型在标准 k-ε 模型的基础之上去掉了传统的耗散项，代之以电磁耗散项来模拟湍流 MHD 效应。同时，采用 Bradshaw 假设来对 湍流涡粘系数进行模化。为验证该湍流模型是否合理，编制了相关数值模拟程序，并利用直接数值模拟(DNS)结 果对该程序进行了校正，数值模拟结果与 DNS 结果吻合较好。计算结果表明，该湍流模型可应用于聚变堆液态 包层 MHD 湍流流动的数值模拟。

Research on quasi two-dimensional MHD turbulence model of liquid blanket in fusion reactor

In order to study the turbulent magnetohydrodynamic(MHD)effect of liquid metal in the tritium breeder blanket of fusion reactor,a new quasi two-dimensional one equation MHD turbulence model is developed in this paper,and the relevant numerical simulation program is made and verified.For the quasi two-dimensional MHD turbulent flow in a rectangular tube,the three-dimensional flow mainly occurs in the Hartmann layers,and the main flow area in the center presents two-dimensional flow.In order to reflect this special flow feature,the new turbulence model removes the traditional dissipation term from the standard k-εmodel and instead uses the electromagnetic dissipation term to simulate the turbulent MHD effect.At the same time,Bradshaw hypothesis is used to model the turbulence eddy viscosity.In order to verify whether this turbulence model is reasonable,a numerical simulation program is made,and the program is corrected by using the results of direct numerical simulation(DNS).The results of numerical simulation are in good agreement with those of DNS.In general,the turbulence model can be applied to the numerical simulation of MHD turbulent flow in the liquid blanket of fusion reactor.