Scaling laws for hydrodynamically similar implosions with heat conduction
Scaling laws for hydrodynamically similar implosions with heat conduction
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DOI：
10.1063/1.1478558
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发表时间：
2002-05
影响因子：
2.2
通讯作者：
M. Murakami;S. Iida
中科院分区：
文献类型：
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作者：
M. Murakami;S. Iida
通过对流体动力学系统的偏微分方程组进行李群分析，导出了流体动力学相似内爆的标度律。从物理上讲，这意味着任何属于一个共同相似群的流体系统都以完全相同的方式演化，包括流体动力学不稳定性。定标强烈依赖于能量传输的描述，即，无论流体系统是导热的还是绝热的。在完全指定的群变换下，即使系统与经典激光吸收、热电子、局部α加热和韧致辐射损失等其他能量源合作，流体动力学相似性仍然可以保持。研究结果为今后的高增益实验提供了目标设计和诊断的依据。
Scaling laws for hydrodynamically similar implosions are derived by applying Lie group analysis to the set of partial differential equations for the hydrodynamic system. Physically this implies that any fluid system belonging to a common similarity group evolves quite in the same manner including hydrodynamic instabilities. The scalings strongly depend on the description of the energy transport, i.e., whether the fluid system is heat conductive or adiabatic. Under a fully specified group transformation the hydrodynamic similarity can still be preserved even when the system is cooperated with such other energy sources as classical laser absorption, hot electrons, local alpha heating, and bremsstrahlung loss. The results are expected to give the basis of target design and diagnostics for scaled high gain experiments in the future.