Abstract

In this paper, the pressure-driven electrokinetic flow of incompressible viscoelastic fluids with exponential type pressure-dependent viscosity and relaxation time is investigated in a slippery nanochannel. Based on the exponential type pressure-dependent viscosity and relaxation time, the 2D momentum equation has been solved. By regular perturbation expansion method, asymptotic analytical solutions of flow velocity and pressure are obtained up to second order. The results show the magnitude of streaming potential decreases and fluid viscosity increases with an increase of pressure relaxation coefficient ω. When slip length increases, the viscosity of viscoelastic fluids becomes gradually weak. The increase in ω can cause a decrease in electrokinetic energy conversion (EKEC) efficiency. In addition, slip length can enhance EKEC efficiency of viscoelastic fluids with pressure-dependent viscosity and relaxation time.

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