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Instability of viscoelastic compound jets

机译：粘弹性复合材料射流的不稳定性

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This paper investigates the axisymmetric instability of a viscoelastic compound jet, for which the constitutive relation is described by the Oldroyd B model. It is found that a viscoelastic compound jet is more unstable than a Newtonian compound jet, regardless of whether the viscoelastic compound jet is inner-Newtonian-outer-viscoelastic, inner-viscoelastic-outer-Newtonian, or fully viscoelastic. It is also found that an increase in the stress relaxation time of the inner or outer fluid renders the jet more unstable, while an increase in the time constant ratio makes the jet less unstable. An analysis of the energy budget of the destabilization process is performed, in which a formulation using the relative rate of change of energy is adopted. The formulation is observed to provide a quantitative analysis of the contribution of each physical factor (e.g., release of surface energy and viscous dissipation) to the temporal growth rate. The energy analysis reveals the mechanisms of various trends in the temporal growth rate, including not only how the growth rate changes with the parameters, but also how the growth rate changes with the wavenumber. The phenomenon of the dispersion relation presenting two local maxima, which occurred in previous research, is explained by the present energy analysis. (C) 2016 AIP Publishing LLC.
机译：本文研究了粘弹性复合材料射流的轴对称失稳，其本构关系由Oldroyd B模型描述。发现粘弹性复合射流比牛顿复合射流更不稳定，而不管粘弹性复合射流是内部牛顿-外粘弹性，内部粘弹性-外牛顿还是完全粘弹性。还发现，内部或外部流体的应力松弛时间的增加使射流更加不稳定，而时间常数比的增加使射流更加不稳定。对去稳定过程的能量预算进行了分析，其中采用了使用相对能量变化率的公式。观察到该制剂提供了对每种物理因素（例如，表面能的释放和粘性耗散）对时间增长率的贡献的定量分析。能量分析揭示了时间增长率的各种趋势的机制，不仅包括增长率如何随参数变化，还包括增长率如何随波数变化。当前的能量分析解释了以前研究中出现的出现两个局部最大值的色散关系现象。 （C）2016 AIP出版有限责任公司。

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