Newtonian Poiseuille flows with pressure-dependent wall slip

Panaseti, Pandelitsa; Housiadas, Kostas D.; Georgiou, Georgios C.

doi:10.1122/1.4769823

Cited by 13 publications

(5 citation statements)

References 28 publications

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“…The dimensionless decay parameter   defined in equation (33), regularly reaches values from -10 2 up to -10 1 [3,21]. These characteristic permits the application of a regular perturbation method based on   .…”

Section: Perturbation Series Solutionmentioning

confidence: 99%

“…Several works suggest that velocity depends not only on shear stress but also on normal stress and several experiments indicate that the slip velocity depends on the pressure for lower pressures regimes [19], which suggests a dependence on the slip coefficient b with the pressure P at the surfaces [3,21] as follows:…”

Section: Slip Conditions Dependence On Pressurementioning

confidence: 99%

“…Panaseti et al [3] studied the effect of pressure-dependent slip at the wall for Poiseuille flows over a channel and a tube. They obtained analytical results by applying perturbation series through a linearized exponential slip function to obtain the velocity field and the pressure.…”

Section: Introductionmentioning

confidence: 99%

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Effects of variable slip length over induced electric potentials in microchannels

Sánchez,

Méndez,

Ramos

2024

Eng. Res. Express

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The exploration of new alternatives in renewable energy has embraced several branches: from solar, hydroelectric, and wind energy on the macro scale, up to those more recently such as to harvest power from some electrokinetic phenomenon, for instance, the well-known electric generation by means of the induced streaming potential process. This electric potential is found in micro and nano scales, where the physicochemical properties of surfaces have fundamental importance, such as the slippage effect. Most works oriented to determine induced electric potential in micro and nanochannels assume constant Navier slip length, which quantifies the hydrophobic degree of the surface. This assumption could overestimate the performance of the so-called electrokinetic batteries. For this reason, it is necessary to enlarge the analysis of variable slip over electrokinetics in micro and nanoscale.In the present analysis, we develop an analytical procedure to estimate the electric potentials induced in a microchannel by a flowing laminar solution due to osmotic gradients, whose configuration is better known as an electrokinetic forward osmosis battery. Assuming a non-linear dependence of Navier slip as a function of the pressure, we obtain regular perturbative series solutions for velocity, pressure, and the streaming potential. For this purpose, we use the dimensionless decay parameter ϵ ̃, which measures the decrease of slippage due to the pressure at the wall as the perturbation parameter. We conclude that the velocity field has not only a longitudinal component if not also a transverse component normal to the surfaces as a consequence of the variable slippage, showing that the classical assumption of fully developed flow is no longer possible. In addition, our data shows that constant slip overpredicts the electric potentials up to 5% in comparison with the case of exponential slip. Finally, the results show that induced electric potentials are benefited from variable slippage; however, the influence of the decay parameter that appears in the boundary condition (32) associated with the variable slip decreases the induced potentials.

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Section: Perturbation Series Solutionmentioning

confidence: 99%

Section: Slip Conditions Dependence On Pressurementioning

confidence: 99%

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Effects of variable slip length over induced electric potentials in microchannels

Sánchez,

Méndez,

Ramos

2024

Eng. Res. Express

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“…Viscoplastic and viscoelastic fluids can exhibit complex slip behaviour, e.g. power-law slip [79,80], pressure dependence [81], or "slip yield stress" [82,83]. However, experiments with Carbopol in [78] (0.2% by weight) and [74] w , respectively, where u s is the slip velocity (the left-hand side of Eq.…”

Section: A Case With Slipmentioning

confidence: 99%

A finite volume method for the simulation of elastoviscoplastic flows and its application to the lid-driven cavity case

Syrakos

Dimakopoulos

Tsamopoulos

2020

Journal of Non-Newtonian Fluid Mechanics

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We propose a Finite Volume Method for the simulation of elastoviscoplastic flows, modelled after the extension to the Herschel-Bulkley model by Saramito [J. Non-Newton. Fluid Mech. 158 (2009) 154-161]. The method is akin to methods for viscoelastic flows. It is applicable to cell-centred grids, both structured and unstructured, and includes a novel pressure stabilisation technique of the "momentum interpolation" type. Stabilisation of the velocity and stresses is achieved through a "both sides diffusion" technique and the CUBISTA convection scheme, respectively. A second-order accurate temporal discretisation scheme with adaptive time step is employed. The method is used to obtain benchmark results of lid-driven cavity flow, with the model parameters chosen so as to represent Carbopol. The results are compared against those obtained with the classic Herschel-Bulkley model. Simulations are performed for various lid velocities, with slip and no-slip boundary conditions, and with different initial conditions for stress. Furthermore, we investigate the cessation of the flow, once the lid is suddenly halted.

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“…Based on previous works presented in the state of the art, the innovation of this paper consists in studying numerically the viscoelectric effect in an electroosmotic flow as a consequence of considering high induced potentials in the microchannel wall; this is reflected not only in the viscosity of the fluid as a function of the electric potential, but also as an effect manifested in the slip condition for the longitudinal velocity. That is, based on Navier's hypothesis [24][25][26], the slip velocity is proportional to the shear stress, and the relationship can be written by the following mathematical expression:…”

Section: Introductionmentioning

confidence: 99%

Viscoelectric effect analysis in an electroosmotic flow with microchannel wall slip

et al. 2023

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In the present work, we developed a numerical analysis for an electroosmotic flow circulating in a rectangular microchannel considering electrolyte viscosity as a function of the induced electric field; which is also reflected in the slip condition imposed on the system walls, since the slip length is a function of the fluid viscosity. It should be clarified this is an entirely hydrodynamic problem, and for this reason there are no induced pressure gradients, because we are in the presence of a purely electroosmotic flow, where the fluid motion is due only to electrokinetic forces. Based on these comments, the problem is centered on high induced potentials, enabling viscoelectric effect analysis in the electroosmotic flow, which leads to significant increases in velocity and volumetric flow profiles compared to the case where the viscosity is a constant and there is no slip condition. Due to analytical analysis limitations, we implemented a dimensionless equation scheme defined by the continuity equation, the momentum equations in the x and y direction, the Poisson-Boltzmann equation, and the charge conservation equation to obtain the velocity and volumetric flow rate profiles mentioned above. This model is described in its variational form in order to implement the finite element technique using free software, FreeFem++.

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Newtonian Poiseuille flows with pressure-dependent wall slip

Cited by 13 publications

References 28 publications

Effects of variable slip length over induced electric potentials in microchannels

Effects of variable slip length over induced electric potentials in microchannels

A finite volume method for the simulation of elastoviscoplastic flows and its application to the lid-driven cavity case

Viscoelectric effect analysis in an electroosmotic flow with microchannel wall slip

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