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Self-similar solutions for multi-species plasma mixing by gradient driven transport

机译:通过梯度驱动运输的多种等离子体混合的自相似解

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Multi-species transport of plasma ions across an initial interface between DT and CH is shown to exhibit self-similar species density profiles under 1D isobaric conditions. Results using transport theory from recent studies and using a Maxwell-Stephan multi-species approximation are found to be in good agreement for the self-similar mix profiles of the four ions under isothermal and isobaric conditions. The individual ion species mass flux and molar flux profile results through the mixing layer are examined using transport theory. The sum over species mass flux is confirmed to be zero as required, and the sum over species molar flux is related to a local velocity divergence needed to maintain pressure equilibrium during the transport process. The light ion species mass fluxes are dominated by the diagonal coefficients of the diffusion transport matrix, while for the heaviest ion species (C in this case), the ion flux with only the diagonal term is reduced by about a factor two from that using the full diffusion matrix, implying the heavy species moves more by frictional collisions with the lighter species than by its own gradient force. Temperature gradient forces were examined by comparing profile results with and without imposing constant temperature gradients chosen to be of realistic magnitude for ICF experimental conditions at a fuel-capsule interface (10 mu m scale length or greater). The temperature gradients clearly modify the relative concentrations of the ions, for example near the fuel center, however the mixing across the fuel-capsule interface appears to be minimally influenced by the temperature gradient forces within the expected compression and burn time. Discussion considers the application of the self-similar profiles to specific conditions in ICF.
机译:在DT和CH之间的初始界面上的多种等离子体离子传输在1D异戊条条件下表现出自相似的物种密度曲线。结果使用最近的研究和使用Maxwell-Stephan的多种研究的运输理论近似被发现与等温和等离性条件下的四个离子的自我类似混合谱的良好一致。使用传输理论检查各个离子物质质量磁通和摩尔通量曲线结果通过混合层检查。根据需要确认物质含量的总和为零,并且物种摩尔通量的总和与局部速度分歧有关,以在运输过程中保持压力平衡所需的局部速度分歧。光离子物质质量助熔剂由扩散传输基质的对角系数主导,而对于最重的离子物质(在这种情况下),仅具有对角线术语的离子通量减小了左右两倍于完全扩散矩阵,暗示重型物种通过与较轻物种的摩擦碰撞移动的比例多于其自身的梯度力。通过将曲线结果与燃料胶囊接口(10μm秤长度为10μm)的ICF实验条件的恒定温度梯度对ICF实验条件的恒定温度梯度进行比较和不施加恒定温度梯度来检查温度梯度力。温度梯度清楚地改变离子的相对浓度,例如在燃料中心附近,然而,燃料胶囊界面的混合似乎在预期压缩和燃烧时间内的温度梯度力最小地影响。讨论认为将自相似型材的应用应用于ICF的特定条件。

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