Filling of charged cylindrical capillaries

Das, Siddhartha; Chanda, Sourayon; Eijkel, Jan C.T.; Tas, Niels Roelof; Chakraborty, Suman; Mitra, Sushanta K.

doi:10.1103/physreve.90.043011

Cited by 26 publications

(15 citation statements)

References 93 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the presence of ion partitioning effects, the number density of the electrolyte ions obeys the modified Boltzmann equation, namely:

where the bulk number concentration n 0 stands for the ionic number concentration of cations and anions in the bulk electrolyte reservoir (where ψ = 0) connecting the soft nanochannel, k b is the Boltzmann constant, and T av is the average temperature. It is worth nothing that Equations (5) and (6) remain valid for different EDL thicknesses, so the Boltzmann distribution is able to be used even though EDLs overlap [ 47 , 48 , 49 ]. The term ∆ W ± , the Born energy difference, identifies the ion partitioning effect, which is related to different permittivities for the two layers.…”

Section: Mathematical Model Analysismentioning

confidence: 99%

Space Electroosmotic Thrusters in Ion Partitioning Soft Nanochannels

Zheng

Jian

2021

Micromachines

View full text Add to dashboard Cite

Space electroosmotic thrusters (EOTs) are theoretically investigated in a soft charged nanochannel with a dense polyelectrolyte layer (PEL), which is considered to be more realistic than a low-density PEL. When the PEL is dense, its permittivity is smaller than the one of the electrolyte solution layer, leading to rearrangement of ions in the channel, which is denoted as the ion partitioning effect. It is noted that fluid viscosity becomes high within the PEL owing to the hydration effect. An analytical solution for electroosmotic velocity through the channel is obtained by utilizing the Debye–Hückel linearization assumption. Based on the fluid motion, thruster performances, including thrust, specific impulse, thrust-to-power ratio, and efficiency, are calculated. The ion partitioning effect leads to enhancement of the thruster velocity, while increase of the dynamic viscosity inside the PEL reduces the flow rate of the fluid. Therefore, these performances are further impacted by the dense soft material, which are discussed in detail. Moreover, changes or improvements of the thruster performances from the dense PEL to the weak PEL are presented and compared, and distributions of various energy items are also provided in this study. There is a good result whereby the increase in electric double layer thickness promotes the development of thruster performances. Ultimately, the simulated EOTs produce thrust of about 0 to 20 μN and achieve thruster efficiency of 90.40%, while maintaining an appropriate thrust–power ratio of about 1.53 mN/W by optimizing all design parameters.

show abstract

“…In the presence of ion partitioning effects, the number density of the electrolyte ions obeys the modified Boltzmann equation, namely:

Section: Mathematical Model Analysismentioning

confidence: 99%

Space Electroosmotic Thrusters in Ion Partitioning Soft Nanochannels

Zheng

Jian

2021

Micromachines

View full text Add to dashboard Cite

show abstract

“…Due to the generation of EDL at the walls of these capillaries, ζpotential of ψ0 is developed. To obtain potential distribution (ψ) across such a single channel, one can employ the Poisson-Boltzmann equation 47 :…”

Section: Please Do Not Adjust Marginsmentioning

confidence: 99%

Hydroelectric power plant on a paper strip

et al. 2018

Self Cite

View full text Add to dashboard Cite

We exploit the combinatorial advantage of electrokinetics and tortuosity of a cellulose-based paper network on laboratory grade filter paper for the development of a simple, inexpensive, yet extremely robust (shows constant performance for 12 days) 'paper-and-pencil'-based device for energy harvesting applications. We successfully achieve harvesting of a maximum output power of ∼640 pW in a single channel, while the same is significantly improved (by ∼100 times) with the use of a multichannel microfluidic array (maximum of up to 20 channels). Furthermore, we also provide theoretical insights into the observed phenomenon and show that the experimentally predicted trends agree well with our theoretical calculations. Thus, we envisage that such ultra-low cost devices may turn out to be extremely useful in energizing analytical microdevices in resource limited settings, for instance, in extreme point of care diagnostic applications.

show abstract

“…Since the medium has an extremely low conductivity, the presence of any electrical double layer (EDL) 38,39 and its effect on the capillary dynamics may be safely ruled out. Nevertheless, studies have been reported in the literature where the influence of the association of EDLs with the capillary transport has been looked into, 40 albeit for Newtonian fluids.…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…To this end, we apply a reduced order approach to determine the dynamic evolution of the fluid height as function of electric field and particle concentration. Nevertheless, studies have been reported in the literature where influence of the association of EDL with the capillary transport has been looked into 40 , albeit for Newtonian fluids. We consider the classical Bingham model for the ERFs, which finds diverse use for modeling of electrorheological flows 1,37 and successfully matches with experimental findings.…”

Section: Introductionmentioning

confidence: 99%

Electro-capillary effects in capillary filling dynamics of electrorheological fluids

2015

Self Cite

View full text Add to dashboard Cite

The flow of electrorheological fluids is characterized by an apparent increase in viscosity manifested by the yield stress property of the fluid, which is a function of the applied electric field and the concentration of the suspended solute phase within the dielectric medium. This property of electrorheological fluids generally hinders flow through a capillary if the imposed shear stress is lower than the induced yield stress. This results in a plug-like zone in the flow profile, thus giving the fluid Bingham plastic properties. In the present work, we study such influences of the yield stress on the capillary filling dynamics of an electrorheological fluid by employing a rheologically consistent reduced order formalism. One important feature of the theoretical formalism is its ability to address the intricate interplay between the surface tension and viscous forces, both of which depend sensitively on the electric field. Our analysis reveals that the progress of the capillary front is hindered at an intermediate temporal regime, which is attributable to the increase of the span of the plug-zone across the channel width with time. With a preliminary understanding on the cessation of the capillary front advancement due to the yield stress property of the electrorheological fluids, we further strive to achieve a basic comparison with an experimental study made earlier. Reasonable agreements with the reported data support our theoretical framework. Comprehensive scaling analysis brings further insight to our reported observations over various temporal regimes.

show abstract

Filling of charged cylindrical capillaries

Cited by 26 publications

References 93 publications

Space Electroosmotic Thrusters in Ion Partitioning Soft Nanochannels

Space Electroosmotic Thrusters in Ion Partitioning Soft Nanochannels

Hydroelectric power plant on a paper strip

Electro-capillary effects in capillary filling dynamics of electrorheological fluids

Contact Info

Product

Resources

About