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Analysis of general second-order fluid flow in double cylinder rheometer. (English) Zbl 0891.76006

Summary: The fractional calculus approach to the constitutive model of second-order fluid is introduced, and the flow characteristics of the viscoelastic fluid in double cylinder rheometer are studied. First, an analytical solution with derivative order 1/2 is derived, and reliability of Laplace numerical inversion based on Crump algorithm is verified. Then we analyze the characteristics of the flow in the rheometer by using Crump method. The results indicate that the more obvious the viscoelastic properties of fluid are, the more sensitive the dependence of velocity and stress on fractional derivative order is.

MSC:

76A10 Viscoelastic fluids
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