Shallow viscoplastic flow on an inclined plane
Shallow viscoplastic flow on an inclined plane
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斜面上的浅层粘塑性流动
DOI：
10.1017/s0022112002001660
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发表时间：
2002
影响因子：
3.7
通讯作者：
Roberto Sassi
中科院分区：
文献类型：
--
作者：
N. Balmforth;R. Craster;Roberto Sassi
在各种地球物理情况下，屈服应力被认为起作用，在斜坡上发展粘塑性流动是许多流动的重要理想化。对于这样的模型，渐近展开适合于缓慢移动的浅流体层（润滑理论）减少了控制方程的流体厚度方面的一个更简单的问题。我们考虑的赫歇尔-Bulkley本构律所描述的流体的理论的版本，并提供了各种解决方案的减少方程，数值和分析。对于挤压倾斜圆顶，我们得到的圆顶的尺寸的措施的特征时间行为。
Evolving viscoplastic flows upon slopes are an important idealization of many flows in a variety of geophysical situations where yield stress is thought to play a role. For such models, asymptotic expansions suitable for slowly moving shallow fluid layers (lubrication theory) reduce the governing equations to a simpler problem in terms of the fluid thickness. We consider the version of the theory for fluids described by the Herschel–Bulkley constitutive law, and provide a variety of solutions to the reduced equation, both numerical and analytical. For extruded inclined domes, we derive the characteristic temporal behaviour of measures of the dome's dimensions.