Maggi Federico, Alonso-Marroquin Fernando
School of Civil Engineering, University of Sydney, Sydney 2006, NSW, Australia.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Nov;88(5):053013. doi: 10.1103/PhysRevE.88.053013. Epub 2013 Nov 15.
We present an analysis of the effect of the temperature on the flow of multiphase systems made of multiple miscible components in uniform cylindrical capillaries in adiabatic conditions. The temperature was explicitly included in the dynamic contact angle, tension at the three-phase contact line, and densities and viscosities of the fluids. The mathematical framework accounted for conservative forces (gravity, inertial, and interfacial tensions), nonconservative forces (viscous dissipation), and fluid retardation effects in the reservoirs at the two capillary ends. Temperature-dependent flow regimes ranged from nonoscillatory to oscillatory in a two-phase binary liquid (water-ethanol) system and in a two-phase pure liquid (ether) system. The Ca-Bo orbits highlighted dynamic attractors that depended on specific system characteristics as well as temperature. We conclude that temperature alone expresses and important role in the dynamical characteristics of capillary rise flow around its equilibrium.
我们对绝热条件下均匀圆柱形毛细管中由多种可混溶组分构成的多相系统的流动受温度的影响进行了分析。温度明确包含在动态接触角、三相接触线处的张力以及流体的密度和粘度中。数学框架考虑了保守力（重力、惯性力和界面张力）、非保守力（粘性耗散）以及毛细管两端储液器中的流体阻滞效应。在两相二元液体（水 - 乙醇）系统和两相纯液体（乙醚）系统中，与温度相关的流动状态范围从非振荡到振荡。Ca - Bo轨道突出显示了取决于特定系统特性以及温度的动态吸引子。我们得出结论，仅温度就在毛细管上升流围绕其平衡的动力学特性中发挥着重要作用。
