A note on the flow of a Burgers’ fluid in an orthogonal rheometer
A note on the flow of a Burgers’ fluid in an orthogonal rheometer
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DOI：
10.1016/j.ijengsci.2004.07.007
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发表时间：
2004-11
影响因子：
6.6
通讯作者：
P. Ravindran;J. Krishnan;K. Rajagopal
中科院分区：
文献类型：
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作者：
P. Ravindran;J. Krishnan;K. Rajagopal
Burgers [力学考虑-模型系统-松弛和粘性的现象学理论，在：J.M. Burgers（Ed.），First Report on Viscosity and Plasticity，Nordemann Publishing Company纽约，1935]介绍了一种粘弹性流体模型来描述诸如沥青的材料的响应，该粘弹性流体模型在地质力学领域也享有很高的知名度。已经开发的用于表征这种粘弹性流体的材料模量的仪器是正交流变仪，其基本上是围绕不重合的轴线旋转但具有相同角速度的两个平行板。各种非牛顿流体的流动已经在这样的仪器中进行了研究。在这里，我们能够获得一个精确的解决方案，在正交流变仪的流动的伯格斯流体。我们表明，明显的边界层可以发展过程中的流动，这样的流体由于各种原因。
Burgers [Mechanical considerations––model systems––phenomenological theories of relaxation and of viscosity, in: J.M. Burgers (Ed.), First Report on Viscosity and Plasticity, Nordemann Publishing Company New York, 1935] introduced a viscoelastic fluid model to describe the response of materials such as asphalt that also enjoys a good deal of popularity in the field of geomechanics. An instrument that has been developed to characterize the material moduli of such viscoelastic fluids is the orthogonal rheometer which is essentially two parallel plates rotating about non-coincident axes, but with the same angular speed. Flows of a variety of non-Newtonian fluids have been studied in such an instrument. Here, we are able to obtain an exact solution for the flow of a Burgers’ fluid in an orthogonal rheometer. We show that pronounced boundary layers can develop during flows of such a fluid due to a variety of reasons.