ANALYSIS OF GENERAL 2ND-ORDER FLUID-FLOW IN DOUBLE CYLINDER RHEOMETER

The fractional calculus approach in the constitutive relationship mode l 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 deri ved with the analytical solution and the reliability of Laplace numeri cal inversion based on Crump algorithm for the problem is verified, th en the characteristics of second-order fluid flow in the rheometer by using Crump method is analyzed. The results indicate that the more obv ious the viscoelastic properties of fluid are, the more sensitive the dependence of velocity and stress on fractional derivative order is.