The hydrodynamic stability of an imploding cylindrical liquid liner is analytically and numerically investigated. Such dynamic system can be used to compress gas trapped by the liner, as one may seek in a hydrogen fusion reactor. For such system it is vital for the liner to stay intact at least up to the turnaround point, which marks the point of maximum compression of the inner gas. New two-dimensional linear stability of Bell-type equation and Wentzel-Kramers-Brillouin (WKB) approximations are derived to account for the rotation of the liner. Excellent agreement is achieved between computational fluid dynamics (CFD) and 1D analysis for the trajectory of the unperturbed liner. Very good agreement is also achieved between the Bell type linear stability solution and the CFD until non-linear effects take hold near the turnaround point. The WKB approximation also agrees well but only at the early stage of the liner motion. Viscosity, surface tension and inner gas stability waves ar...

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内爆旋转圆筒形液体衬管的流体力学稳定性

通过分析和数值研究了内爆圆筒形液体衬套的流体力学稳定性。正如人们可能在氢聚变反应器中所寻求的那样，这种动态系统可用于压缩被衬管捕获的气体。对于这样的系统，至关重要的是，衬管至少在直到周转点之前都保持完整，该周转点标志着内部气体的最大压缩点。推导了Bell型方程和Wentzel-Kramers-Brillouin（WKB）近似值的新二维线性稳定性，以说明衬管的旋转。在计算流体力学（CFD）和一维分析中，对未扰动衬管的轨迹达成了极好的协议。贝尔型线性稳定性解决方案与CFD之间也达成了很好的一致性，直到非线性效应在转折点附近得以保持。WKB近似也很好地吻合，但仅在直线运动的早期阶段。粘度，表面张力和内部气体稳定性波会影响到...