论文标题
玻璃管的不稳定拉伸，内部通道加压
Unsteady stretching of a glass tube with internal channel pressurisation
论文作者
论文摘要
数学建模用于检查加热和拉动轴对称圆柱玻璃管的不稳定问题，并在管中施加过度压力，以形成水龙头，并在尖端处有几乎均匀的孔和小的壁厚。为了使粘度依赖于温度，假定规定的轴向变化的粘度。我们的动机是制造质谱的发射极技巧，该质谱能提供连续的流体流量，并且不会被阻止。我们首次证明了通过此过程产生此类发射器的可行性，并检查过程参数的影响，尤其是拉力和过度压力对几何形状的影响。对于这些参数的小值，可以获得更均匀的孔，但几何形状对小波动高度敏感。较高的参数值会导致孔径的变化更大，但对波动的敏感性较小。最佳参数取决于用于制造锥度和几何形状上允许的公差所用的拉拔器的准确性。该模型在其他设备的制造中具有更广泛的应用。
Mathematical modelling is used to examine the unsteady problem of heating and pulling an axisymmetric cylindrical glass tube with an over-pressure applied within the tube to form tapers with a near uniform bore and small wall thickness at the tip. To allow for the dependence of viscosity on temperature, a prescribed axially varying viscosity is assumed. Our motivation is the manufacture of emitter tips for mass spectrometry which provide a continuous fluid flow and do not become blocked. We demonstrate, for the first time, the feasibility of producing such emitters by this process and examine the influence of the process parameters, in particular the pulling force and over-pressure, on the geometry. For small values of these parameters a more uniform bore may be obtained but the geometry is highly sensitive to small fluctuations. Higher values of the parameters result in more variation in the bore size but less sensitivity to fluctuations. The best parameters depend on the accuracy of the puller used to manufacture the tapers and the permissible tolerances on the geometry. The model has wider application to the manufacture of other devices.
