Numerical Study Of Rotating Electroosmotic Flow Of Oldroyd-B Fluid In A Microchannel With Slip Boundary Condition

Base on the characteristics of microscale flow,the effects of rotational and periodic EOF of Oldroyd-B fluid in microchannel under the condition of slip boundary are studied.The potential distribution of the electric double layer(EDL)is acquired by solving the nonlinear Poisson-Boltzmann equation.The numerical solution of velocity profile is obtained by using a finite difference method.The effects of rotating Reynolds number,electric width,the frequency of electric field,viscous parameter,slip parameter etc on velocity and boundary stress for Oldroyd-B fluid EOF are discussed,which show that the slip boundary effect can reduce the boundary stress and promote the development of flow greatly.The velocity and stress of rotational electroosmosis flow in parallel microchannel under the condition of sliding boundary show periodic changes.Compared with the non-periodic EOF,the oscillations of the periodic rotational EOF velocity u near the micro-pipe wall surface are greater than that at the center of the pipe,while the velocity v is opposite.The slip condition and rotating can promote the fluid flow.The elastic parameters and the rotating Reynolds number will increase the oscillation amplitude and oscillation frequency of the velocity of the electric seepage,and Weissenberg number will increase the velocity.And the variation of velocity profile is concentrated in the narrow EDL region which is close to the wall.The central part of the pipeline will show irregular changes in the first two cycles,and will form stable periodic changes with time.The existence of EOF slip boundary condition and the increase of electric width enlarge the amplitude of velocity oscillation.