A remark on the Giesekus viscoelastic fluid
A remark on the Giesekus viscoelastic fluid
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DOI：
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发表时间：
1991
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通讯作者：
R. Weinacht
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作者：
G. Schleiniger;R. Weinacht
稳态平面剪切流被认为是不同迁移率参数值下 Giesekus 流体方程边值问题的解。结果表明，如果迁移率参数大于 1/2，则对于大剪切速率值（如果没有溶剂粘度贡献）或对于整个有限范围的剪切速率（如果溶剂粘度贡献很小），这样的解决方案要么不存在，要么无法实现。如果迁移率参数不超过 1/2，则该解存在并且对于所有剪切速率值都是可实现的。结论来自于适当边界值问题的一维线性稳定性分析和可接受性标准，该可接受性标准源于对聚合物液体的分子模型描述所产生的构型张量的限制。如果解决方案稳定且可接受，我们认为该解决方案是可以实现的。因此，Giesekus 模型的明显不同行为是显而易见的……
Steady planar shear flow is considered as a solution of a boundary value problem for the equation of a Giesekus fluid for various values of the mobility parameter. It is shown that if the mobility parameter is greater than 1/2 then such a solution either does not exist or is not realizable for large values of the shear rate (if there is no solvent viscosity contribution) or for an entire finite range of shear rates (if there is a small contribution from the solvent viscosity). If the mobility parameter does not exceed 1/2 then the solution exists and is realizable for all values of the shear rate. The conclusions follow from a one‐dimensional linear stability analysis of the appropriate boundary value problem and from an admissibility criterion that stems from restrictions imposed on the configuration tensor which arises from the molecular model description of the polymer liquid. We consider a solution realizable if it is stable and admissible. Thus a clearly distinct behavior of the Giesekus model is obs...