Theoretical Research on Flowing Characteristics in Rolling Motion with Fractional Maxwell Model

The flowing characteristics of the flow with no initial velocity in a tube in rolling motion are investigated theoretically,with the fractional Maxwell method.The velocity in rolling motion is derived.The effect of rolling motion on the flowing velocity of Newtonian fluids and Non-Newtonian fluids is analyzed.The variation of peak velocity and velocity gradient in the wall is also investigated.Compared with the non-Newtonian fluid,the effect of rolling motion on Newtonian fluid is more averaged.The oscillation of velocity gradient at the wall is similar to that of velocity.And their oscillation period is half of the rolling period.