Science in China Series A: Mathematics

, Volume 40, Issue 2, pp 183–190 | Cite as

Analysis of general second-order fluid flow in double cylinder rheometer

  • Junqi Huang
  • Guangyu He
  • Ciqun Liu


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.


double cylinder rheorneter second-order fluid fractional calculus 


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Copyright information

© Science in China Press 1997

Authors and Affiliations

  • Junqi Huang
    • 1
  • Guangyu He
    • 2
  • Ciqun Liu
    • 3
  1. 1.Department of Resources and Environmental SciencesBeijing Normal UniversityBeijingChina
  2. 2.Department of Petroleum EngineeringXi’an Petroleum InstituteXi’anChina
  3. 3.Institute of Porous Flow and Fluid MechanicsChinese Academy of SciencesLangfangChina

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