Electroviscous effect and electrokinetic energy conversion in time periodic pressure-driven flow through a parallel-plate nanochannel with surface charge-dependent slip

Abstract

In this paper we analytically investigate the electroviscous effect and electrokinetic energy conversion in the time periodic pressure-driven flow of an incompressible viscous Newtonian liquid through a parallel-plate nanochannel with surface charge-dependent slip. Analytical and semi-analytical solutions for electric potential, velocity and streaming electric field are obtained and are utilized to compute electrokinetic energy conversion efficiency. The results show that velocity amplitude and energy conversion efficiency are reduced when the effect of surface charge on slip length is considered. The surface charge effect increases with zeta potential and ionic concentration. In addition, the energy conversion efficiency is large when the ratio of channel half-height to the electric double layer thickness is small. The boundary slip results in a large increase in energy conversion. Higher values of the frequency of pressure pulsation lead to higher values of the energy conversion efficiency. We also obtain the energy conversion efficiency in constant pressure-driven flow and find that the energy conversion efficiency in periodical pressure-driven flow becomes larger than that in constant pressure-driven flow when the frequency is large enough.

Ion Selective Nanochannels: From Critical Principles to Sensing and Biosensing Applications

“…Along with uniform poresize distribution throughout the entire thickness of the membrane for high analyte flux and good mechanical and chemical stability, chargeindependent sizebased selectivity of nanochannels has recently been consid ered fundamental in the development of valuable membranes for separation and purification applications. [195,196] Various 1D and 2D sizebased selective nanopore/nanochannel structures such as layered graphene, polymerbased filtration membranes, and MOF have been developed with excellent performance. Carbon nanostructures, especially GO provide exceptional ionseparation properties due to ultrathin 2D structure and interlayer spacing between laminate layers.…”

Electrokinetic oscillatory flow and energy conversion of viscoelastic fluids in microchannels: a linear analysis

“…2014; Buren et al. 2018; Koranlou, Ashrafizadeh & Sadeghi 2019) defined the efficiency ξ in terms of a purely pressure-driven volume flow rate without the retardation induced by the back electro-osmotic transport.…”

“…For example, Xuan & Li (2006) calculated the maximum conversion efficiency based on thermodynamics, whereas van der Heyden et al (2006) calculated it based on the circuit. A few researchers (Chanda et al 2014;Buren et al 2018;Koranlou, Ashrafizadeh & Sadeghi 2019) defined the efficiency ξ in terms of a purely pressure-driven volume flow rate without the retardation induced by the back electro-osmotic transport.…”

“…calculated the maximum conversion efficiency based on thermodynamics while the work of van derHeyden et al (2006) is based on the circuit. A few researchers (e.g.,Chanda et al 2014;Buren et al 2018; Koranlou et al 2019) defined …”

Effects of surface charge and boundary slip on time-periodic pressure-driven flow and electrokinetic energy conversion in a nanotube

“…Many researchers [22–27] theoretically investigated the effects of the surface charge-dependent slip on the fluid flows and heat transfers in microtubes and parallel-plate microchannels. Recently, Buren et al [28] studied the effect of surface charge-dependent slip and the electroviscous effect on time periodic pressure-driven flow and electrokinetic energy conversion in a parallel-plate nanochannel.…”