Abstract
The fractional calculus approach in the constitutive relationship model of second-order fluid is introduced and the flow characteristics of the viscoelastic fluid in double cylinder rheometer are studied. First, the analytical solution of which the derivative order is 1/2 is derived with the analytical solution and the reliability of Laplace numerical inversion based on Crump algorithm for the problem is verified, then the characteristics of second-order fluid flow in the rheometer by using Crump method is analyzed. 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.
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Huang, J., He, G. & Liu, C. Analysis of general second-order fluid flow in double cylinder rheometer. Sci. China Ser. A-Math. 40, 183–190 (1997). https://doi.org/10.1007/BF02874437
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DOI: https://doi.org/10.1007/BF02874437