本文应用马休函数理论获得了刚性椭圆形储液罐水平自由振动和强迫振动的解析解，并获得了一些有关计算结果。
In the present paper, applying the theory of Mathieu s function the analytical solutions for horizontal free and forced vibrations of rigid elliptic liquid-storage-tank are obtained.
并利用拉普拉斯变换技术，得到了液饱和两相多孔介质一维问题的动力响应解析解。
By using the Laplace transform technique, the one-dimensional analytical solution of dynamic response for biphasic saturated porous media.
理论推导了扩散电流与液选的模型方程，得到了解析解。
Model equations of diffusion electric currents and liquid rates were established theoretically and solved analytically.
在解析磨削温度时，考虑了冷却液的影响。
Taking account of the influence of coolant, an analytic solution is given for grinding temperature.
在一些简化假设的基础上，找到了液滴质量燃速的近似解析解。
The approximate analytical solution on the burning rate of droplet mass is also found on the basis of some simplified hyPotheses.
然而，由于灌水器内固液两相流场的复杂性，目前很难用解析的方法来描述整个流场特性。
However, the two-phase flow field in drip emitter is too complex to be characterized using analytical approach now.
对气液两相非定常一元流动方程组导出了两套代数显式解析解。
Two sets of algebraically explicit analytical solution are derived for the partial differential equation set describing the one dimensional unsteady gas-liquid two phase flow.
以平均涡量作为液体的离散化变量，导出解析形式稳定性判据，并用于讨论充液自旋弹丸。
The average vortex is used as a discretized variable of the liquid. A stability criterion in analytic form is derived and used to discuss the spinning projectile containing liquid charge.
以平均涡量作为液体的离散化变量，导出解析形式稳定性判据，并用于讨论充液自旋弹丸。
The average vortex is used as a discretized variable of the liquid. A stability criterion in analytic form is derived and used to discuss the spinning projectile containing liquid charge.
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