Analysis of general second-order fluid flow in double cylinder rheometer |
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| Authors: | Junqi Huang Guangyu He Ciqun Liu |
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| Institution: | (1) Department of Resources and Environmental Sciences, Beijing Normal University, 100875 Beijing, China;(2) Department of Petroleum Engineering, Xi’an Petroleum Institute, 730000 Xi’an, China;(3) Institute of Porous Flow and Fluid Mechanics, Chinese Academy of Sciences, 102801 Langfang, China |
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| 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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| Keywords: | double cylinder rheorneter second-order fluid fractional calculus |
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