Hyperbolicity and change of type in the flow of viscoelastic fluids. Technical summary report
Hyperbolicity and change of type in the flow of viscoelastic fluids. Technical summary report
复制标题
粘弹性流体流动的双曲性和类型变化。
DOI：
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发表时间：
1984
期刊：
影响因子：
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通讯作者：
J. Saut
中科院分区：
文献类型：
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作者：
D. Joseph;M. Renardy;J. Saut
根据微分算子的符号对粘弹性液体流动的控制方程进行了分类。传播的奇异性进行了讨论和条件的类型的变化进行了调查。当速度和应力满足临界条件时，定常流的涡量方程可以变换类型。这就导致了流场分成亚临界区和超临界区，如跨音速流问题。
The equations governing the flow of viscoelastic liquids are classified according to the symbol of their differential operators. Propagation of singularities is discussed and conditions for a change of type are investigated. The vorticity equation for steady flow can change type when a critical condition involving speed and stresses is satisfied. This leads to a partitioning of the field of flow into subcritical and supercritical regions, as in the problem of transonic flow.