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arxiv: 2511.18096 · v3 · submitted 2025-11-22 · ⚛️ physics.flu-dyn

Electroosmotic lubrication flow in constricted microchannels with a compliant wall and DLVO interactions

Subhajyoti Sahoo , Ameeya Kumar Nayak This is my paper

Pith reviewed 2026-05-17 06:33 UTC · model grok-4.3

classification ⚛️ physics.flu-dyn
keywords electroosmotic flowcompliant wallsDLVO interactionslubrication approximationelastic deformationmicrofluidicsconstricted microchannelselectrokinetic transport
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The pith

Electroosmotic lubrication flow in constricted microchannels with compliant walls exhibits three regimes set by deformation and DLVO forces.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

This paper presents a nonlinear model coupling electroosmotic slip flow, lubrication pressure, and the deformation of a compliant wall treated as a clamped plate, while including short-range DLVO intermolecular forces. It demonstrates through asymptotics and simulations that the system produces three clear regimes as parameters vary. In the stiff-wall regime deformation is negligible, in the deformation-limited regime elastic narrowing cuts the flow rate sharply, and in the repulsion-limited regime DLVO repulsion stops the walls from collapsing. Readers interested in soft microfluidics or bio-inspired devices would care because the results supply scaling rules for maintaining useful flow rates under nanometric confinement without unwanted channel closure.

Core claim

The central claim is that the fully coupled electroosmotic lubrication problem with elastic wall deformation and DLVO interactions yields three regimes: a stiff-wall regime with negligible deformation in which electroosmotic slip acts as a uniform offset to the pressure-driven flow, a deformation-limited regime in which elastic narrowing strongly suppresses flux, and a repulsion-limited regime where DLVO forces cap wall deflection and prevent collapse.

What carries the argument

The nonlinear coupling of electroosmotic slip-driven flow under a globally constrained electric field, pressure-driven lubrication, elastic deformation as a clamped Kirchhoff-Love plate, and extended DLVO stresses.

If this is right

  • Electroosmotic slip serves as a uniform offset to pressure-driven flow when the wall is stiff.
  • Elastic narrowing of the channel strongly reduces the overall flux in the deformation-limited regime.
  • DLVO repulsion limits further deflection and prevents channel collapse in the repulsion-limited regime.
  • Transitions between the regimes are governed by the six nondimensional parameters including wall compliance and electrostatic strength.
  • Scaling rules emerge for designing compliant electrokinetic channels that operate reliably under strong confinement.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The identified regimes could inform the design of adaptive sensors that exploit wall deformation for flow detection.
  • Adjusting the Debye length might provide a practical control knob to stay in the repulsion-limited regime for stable operation.
  • Similar coupling may appear in other soft-matter systems where electric fields drive flow through deformable confinements.
  • Time-dependent versions of the model could test whether the regimes persist under oscillating electric fields.

Load-bearing premise

The lubrication approximation stays valid and the compliant wall can be accurately modeled as a clamped Kirchhoff-Love plate even when electroosmotic and DLVO forces become strong.

What would settle it

Direct measurement of wall deflection profiles and flow rates in an experimental compliant microchannel across a range of applied voltages and ionic strengths, to check whether the three regimes and their boundaries appear as predicted.

Figures

Figures reproduced from arXiv: 2511.18096 by Ameeya Kumar Nayak, Subhajyoti Sahoo.

Figure 1
Figure 1. Figure 1: Electroosmotic lubrication in a constricted microchannel with a rigid curved upper wall and a compliant lower wall. A prescribed potential drop ∆ϕ produces an axial electric field Ex(x) in a symmetric z : z electrolyte. Under quasi one dimensional conduction the field intensifies where the gap is small and this strengthens the Helmholtz Smoluchowski electroosmotic slip. The compliant wall deforms under the… view at source ↗
Figure 2
Figure 2. Figure 2: Model validation and numerical convergence. (a) Constant-gap benchmark: computed flux Q versus Dukhin number Du compared with Eq. (55). (b) Stiff-wall benchmark: augmented-pressure profile Pˆ(x) = P(x) − P(0) compared with the reference solution from Eq. (57). (c) Grid refinement: relative errors in flux, deformation, and pressure, eQ, eδ, and ep, defined in Eqs. (60) and (61), as functions of the number o… view at source ↗
Figure 3
Figure 3. Figure 3: Compliance-controlled response for several constriction amplitudes C. (a) Normalized flux Q/Qrigid as a function of the dimensionless bending stiffness B. (b) Maximum wall deflection δmax shown in rescaled form C 2 δmax versus 1/B. (c) Normalized flux deficit (Qrigid − Q)/Qrigid versus the combined compliance parameter C 2/B. the pressure gradient needed to maintain a constant flux increases, which raises … view at source ↗
Figure 4
Figure 4. Figure 4: Effect of geometric modulation and surface conduction. (a) Flux magnitude −Q versus con￾striction amplitude C on logarithmic axes for several Dukhin numbers Du. (b) Representative axial profiles of the hydrodynamic pressure p(x) (solid lines, left axis) and wall deflection δs(x) (dashed lines, right axis) for increasing C at fixed Du = 0.1. (c) Rescaled flux −Q/√ C versus Du for different C, illustrating t… view at source ↗
Figure 5
Figure 5. Figure 5: Narrow-gap scaling in the DLVO-influenced regime. (a) Maximum deflection δmax versus constriction amplitude C for several bending stiffness values B, showing the C −2 trend. (b) Flux variation |∆Q| versus the rescaled forcing FDLVO/(BC3/2 ), illustrating collapse of the numerical results [PITH_FULL_IMAGE:figures/full_fig_p018_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: Pressure and gap response as functions of axial position and forcing amplitude. The forcing amplitude is varied through the dimensionless factor V = ∆ϕ/∆ϕ0 defined relative to a reference potential drop ∆ϕ0 used for nondimensionalization. Panel (a) shows the hydrodynamic pressure p(x, V ). Panel (b) shows the gap h(x, V ). Increasing V strengthens the electroosmotic contribution in the flux law while holdi… view at source ↗
Figure 7
Figure 7. Figure 7: Contour map in the x and V plane. Color shows the wall deflection δs(x, V ) and the overlaid contour lines show constant gap levels h(x, V ). The forcing amplitude V = ∆ϕ/∆ϕ0 controls the strength of the electroosmotic term in the flux law. At small V the deformation is weak. At intermediate V the response localizes near the throat. At large V the minimum gap approaches a stabilized value set by the balanc… view at source ↗
read the original abstract

We develop a nonlinear model for electroosmotic transport in a constricted microchannel with a compliant lower wall, with applications to soft microfluidics, bio-inspired sensing, and energy harvesting. The formulation couples electroosmotic slip-driven flow under a globally constrained electric field with pressure-driven lubrication and elastic wall deformation, modeled as a clamped Kirchhoff-Love plate. Short-range intermolecular stresses are incorporated through an extended Derjaguin-Landau-Verwey-Overbeek framework combining electrostatic double-layer repulsion and van der Waals attraction, enabling us to probe the nonlinear coupling between intermolecular forces, wall deformation, and electroosmotic flow in compliant microchannels. The flow is governed by six nondimensional parameters: wall compliance, geometric curvature, electrostatic and van der Waals strengths, scaled Debye length, and Dukhin number. Asymptotic analysis clarifies the role of these parameters in limiting regimes. In the stiff-wall limit, electroosmotic slip acts as a uniform offset to the pressure-driven flow. Fully coupled spectral collocation simulations confirm the asymptotic predictions and capture nonlinear feedback between pressure, deformation, and intermolecular stresses. Three regimes emerge: a stiff-wall regime with negligible deformation, a deformation-limited regime in which elastic narrowing strongly suppresses flux, and a repulsion-limited regime where DLVO forces cap wall deflection and prevent collapse. These results show how elasticity, geometry, and molecular forces jointly regulate electroosmotic lubrication and provide scaling rules for the design of compliant electrokinetic channels operating under nanometric confinement.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 1 minor

Summary. The paper develops a nonlinear model coupling electroosmotic slip-driven flow, pressure-driven lubrication, and elastic deformation of a compliant wall (modeled as a clamped Kirchhoff-Love plate) in a constricted microchannel, with short-range DLVO interactions via an extended Derjaguin-Landau-Verwey-Overbeek framework. Asymptotic analysis in limiting cases and fully coupled spectral collocation simulations are performed for a system governed by six nondimensional parameters (wall compliance, geometric curvature, electrostatic strength, van der Waals strength, scaled Debye length, Dukhin number). The central result is the emergence of three regimes: stiff-wall (negligible deformation), deformation-limited (elastic narrowing suppresses flux), and repulsion-limited (DLVO forces cap deflection and prevent collapse).

Significance. If the modeling assumptions remain valid across the reported parameter space, the work provides useful scaling rules for the design of compliant electrokinetic microchannels under nanometric confinement, with relevance to soft microfluidics and energy harvesting. A strength is the combination of asymptotic analysis to clarify parameter roles with spectral collocation simulations that capture nonlinear feedback between pressure, deformation, and intermolecular stresses.

major comments (1)
  1. [Abstract] Abstract and model-closure paragraphs: the lubrication approximation (small aspect ratio, negligible inertia) and clamped Kirchhoff-Love plate are invoked to close the coupled system, yet the manuscript does not report maximum computed wall slopes or local Reynolds numbers in the repulsion-limited regime. This is load-bearing for the central claim of three distinct regimes, because O(1) slopes or gaps approaching the Debye length would violate the small-slope and continuum assumptions used to derive the pressure and deformation equations.
minor comments (1)
  1. [Nondimensionalization] The six nondimensional parameters are stated to arise from standard nondimensionalization; an explicit table or appendix listing their definitions in terms of the original physical quantities would improve traceability.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of our manuscript and for identifying a key point regarding the validation of our modeling assumptions. We address this concern directly below and will incorporate the requested checks into the revised version.

read point-by-point responses

  1. Referee: [Abstract] Abstract and model-closure paragraphs: the lubrication approximation (small aspect ratio, negligible inertia) and clamped Kirchhoff-Love plate are invoked to close the coupled system, yet the manuscript does not report maximum computed wall slopes or local Reynolds numbers in the repulsion-limited regime. This is load-bearing for the central claim of three distinct regimes, because O(1) slopes or gaps approaching the Debye length would violate the small-slope and continuum assumptions used to derive the pressure and deformation equations.

    Authors: We agree that explicit reporting of these quantities is necessary to substantiate the validity of the lubrication and plate approximations across all three regimes. In the revised manuscript we will add a dedicated subsection (and supporting figure) that tabulates and plots the maximum wall slope and local Reynolds number for representative parameter values in the stiff-wall, deformation-limited, and repulsion-limited regimes. Our existing spectral-collocation data already show that slopes remain O(ε) with ε ≪ 1 and local Re ≪ 1 even when DLVO repulsion caps the deflection; we will document these checks explicitly so that readers can verify the assumptions remain satisfied. This addition will directly support the central claim of three distinct regimes. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation is self-contained

full rationale

The paper nondimensionalizes the coupled lubrication, electroosmotic slip, Kirchhoff-Love plate, and extended DLVO equations to obtain six parameters directly from the physical scales. Asymptotic analysis in the stiff-wall, deformation-limited, and repulsion-limited regimes follows from these scaled equations without any parameter being fitted to a subset of the model's own outputs and then relabeled as a prediction. Spectral collocation solutions are presented as numerical confirmation of the asymptotics rather than as the source of the regime boundaries. No load-bearing step reduces to a self-citation chain, an ansatz smuggled via prior work, or a renaming of a known result; the central claims remain independent of the paper's own fitted values or internal definitions.

Axiom & Free-Parameter Ledger

6 free parameters · 3 axioms · 0 invented entities

The model rests on standard domain assumptions from lubrication theory, thin-plate mechanics, and colloid science rather than new postulates; the six nondimensional groups are derived parameters, not independently fitted constants.

free parameters (6)
  • wall compliance
    Nondimensional measure of elastic wall stiffness that controls deformation amplitude
  • geometric curvature
    Nondimensional constriction parameter that sets the channel shape
  • electrostatic strength
    Nondimensional DLVO repulsion parameter
  • van der Waals strength
    Nondimensional DLVO attraction parameter
  • scaled Debye length
    Nondimensional electric double-layer thickness
  • Dukhin number
    Nondimensional surface conduction parameter
axioms (3)
  • domain assumption Lubrication approximation for slow axial variation in microchannel geometry
    Invoked to reduce the Navier-Stokes equations to a Reynolds-type lubrication equation
  • domain assumption Clamped Kirchhoff-Love plate model for the compliant lower wall
    Used to relate pressure to wall deflection
  • domain assumption Extended DLVO framework combining electrostatic double-layer repulsion and van der Waals attraction
    Provides the short-range intermolecular stress that prevents wall collapse

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Reference graph

Works this paper leans on

60 extracted references · 60 canonical work pages

  1. [1]

    Saville, D. A. (1977). Electrokinetic effects with small particles. Annual Review of Fluid Mechanics, 9(1), 321-337. 24

    work page 1977

  2. [2]

    Ren, L., Qu, W., & Li, D. (2001). Interfacial electrokinetic effects on liquid flow in microchannels. International journal of heat and mass transfer, 44(16), 3125-3134

    work page 2001

  3. [3]

    Probstein, R. F. (2005). Physicochemical hydrodynamics: an introduction. John Wiley & Sons

    work page 2005

  4. [4]

    Hunter, R. J. (2013). Zeta potential in colloid science: principles and applications (Vol. 2). Academic press

    work page 2013

  5. [5]

    Schnitzer, O., & Yariv, E. (2012). Induced-charge electro-osmosis beyond weak fields. Physical Review EStatistical, Nonlinear, and Soft Matter Physics, 86(6), 061506

    work page 2012

  6. [6]

    K., Wang, T

    Wong, P. K., Wang, T. H., Deval, J. H., & Ho, C. M. (2004). Electrokinetics in micro devices for biotechnology applications. IEEE/ASME transactions on mechatronics, 9(2), 366-376

    work page 2004

  7. [7]

    J., & Cummings, E

    Fiechtner, G. J., & Cummings, E. B. (2003). Faceted design of channels for low-dispersion electrokinetic flows in microfluidic systems. Analytical Chemistry, 75(18), 4747-4755

    work page 2003

  8. [8]

    Fernández-Mateo, R., Calero, V., Morgan, H., Ramos, A., & García-Sánchez, P. (2021). Concentra- tionpolarization electroosmosis near insulating constrictions within microfluidic channels. Analytical Chemistry, 93(44), 14667-14674

    work page 2021

  9. [9]

    Koyama, S., Inoue, D., Okada, A., & Yoshida, H. (2021). Electro-osmotic diode based on colloidal nano-valves between double membranes. Physical Review Research, 3(3), 033289

    work page 2021

  10. [10]

    Z., & Deng, D

    Gu, Z., Huo, P., Xu, B., Su, M., Bazant, M. Z., & Deng, D. (2022). Electrokinetics in two-dimensional complicated geometries: Conformal mapping and experimental comparison. Physical Review Fluids, 7(3), 033701

    work page 2022

  11. [11]

    R., Friend, J., & Yeo, L

    Chakraborty, D., Prakash, J. R., Friend, J., & Yeo, L. (2012). Fluid-structure interaction in deformable microchannels. Physics of Fluids, 24(10)

    work page 2012

  12. [12]

    Yu, H., & Zhou, G. (2013). Deformable mold based on-demand microchannel fabrication technology. Sensors and Actuators B: Chemical, 183, 40-45

    work page 2013

  13. [13]

    Ozsun, O., Yakhot, V., & Ekinci, K. L. (2013). Non-invasive measurement of the pressure distribution in a deformable micro-channel. Journal of Fluid Mechanics, 734, R1

    work page 2013

  14. [14]

    Mehboudi, A., & Yeom, J. (2018). A one-dimensional model for compressible fluid flows through deformable microchannels. Physics of Fluids, 30(9)

    work page 2018

  15. [15]

    Wang, X., & Christov, I. C. (2019). Theory of the flow-induced deformation of shallow compliant microchannels with thick walls. Proceedings of the Royal Society A, 475(2231), 20190513

    work page 2019

  16. [16]

    Guyard, G., Restagno, F., & McGraw, J. D. (2022). Elastohydrodynamic relaxation of soft and de- formable microchannels. Physical review letters, 129(20), 204501

    work page 2022

  17. [17]

    J., Delfos, R., Picken, S

    Greidanus, A. J., Delfos, R., Picken, S. J., & Westerweel, J. (2022). Response regimes in the fluid- structure interaction of wall turbulence over a compliant coating. Journal of Fluid Mechanics, 952, A1

    work page 2022

  18. [18]

    Roy, A., & Dhar, P. (2024). Fluidstructure-interactive elasto-and thermo-hydrodynamics of electroki- netic binary fluid flows in compliant micro-confinements. Physics of Fluids, 36(3)

    work page 2024

  19. [19]

    H., Pandey, A., Karpitschka, S., Venner, C

    Essink, M. H., Pandey, A., Karpitschka, S., Venner, C. H., & Snoeijer, J. H. (2021). Regimes of soft lubrication. Journal of fluid mechanics, 915, A49. 25

    work page 2021

  20. [20]

    Karan, P., Chakraborty, J., & Chakraborty, S. (2021). Generalization of elastohydrodynamic interac- tions between a rigid sphere and a nearby soft wall. Journal of Fluid Mechanics, 923, A32

    work page 2021

  21. [21]

    Ghosal, S. (2002). Lubrication theory for electro-osmotic flow in a microfluidic channel of slowly varying cross-section and wall charge. Journal of Fluid Mechanics, 459, 103-128

    work page 2002

  22. [22]

    C., Sengupta, A., & Mondal, P

    Shit, G. C., Sengupta, A., & Mondal, P. K. (2024). Stability analysis of electro-osmotic flow in a rotating microchannel. Journal of Fluid Mechanics, 983, A13

    work page 2024

  23. [23]

    Goyal, V., Datta, S., & Chakraborty, S. (2024). Generalizing electroosmotic-flow predictions over charge-modulated periodic topographies: tuneable far-field effects. Journal of Fluid Mechanics, 990, A1

    work page 2024

  24. [24]

    M., & Mahadevan, L

    Skotheim, J. M., & Mahadevan, L. (2005). Soft lubrication: The elastohydrodynamics of nonconform- ing and conforming contacts. Physics of Fluids, 17(9)

    work page 2005

  25. [25]

    M., & Mahadevan, L

    Skotheim, J. M., & Mahadevan, L. (2004). Dynamics of poroelastic filaments. Proceedings of the Royal Society A, 460(2047), 1995-2020

    work page 2004

  26. [26]

    M., & Mahadevan, L

    Skotheim, J. M., & Mahadevan, L. (2004). Soft lubrication. Physical review letters, 92(24), 245509

    work page 2004

  27. [27]

    Salez, T., & Mahadevan, L. (2015). Elastohydrodynamics of a sliding, spinning and sedimenting cylin- der near a soft wall. Journal of Fluid Mechanics, 779, 181-196

    work page 2015

  28. [28]

    Bertin, V., Amarouchene, Y., Raphaël, E., & Salez, T. (2022). Soft-lubrication interactions between a rigid sphere and an elastic wall. Journal of Fluid Mechanics, 933, A23

    work page 2022

  29. [29]

    Rallabandi, B. (2024). Fluid-elastic interactions near contact at low Reynolds number. Annual Review of Fluid Mechanics, 56(1), 491-519

    work page 2024

  30. [30]

    S., Amarouchene, Y., Chan, T

    Bharti, Ferreira, Q., Jha, A., Carlson, A., Dean, D. S., Amarouchene, Y., Chan, T. S., & Salez, T. (2024). Singular viscoelastic perturbation to soft lubrication. Physical Review Research, 6(4), 043060

    work page 2024

  31. [31]

    V., Dollet, B., Marmottant, P., & Jensen, K

    Paludan, M. V., Dollet, B., Marmottant, P., & Jensen, K. H. (2024). Elastohydrodynamic interactions in soft hydraulic knots. Journal of Fluid Mechanics, 984, A55

    work page 2024

  32. [32]

    Fares, N., Lavaud, M., Zhang, Z., Jha, A., Amarouchene, Y., & Salez, T. (2024). Observation of Brownian elastohydrodynamic forces acting on confined soft colloids. Proceedings of the National Academy of Sciences, 121(42), e2411956121

    work page 2024

  33. [33]

    Wang, Y., Dhong, C., & Frechette, J. (2015). Out-of-contact elastohydrodynamic deformation due to lubrication forces. Physical Review Letters, 115(24), 248302

    work page 2015

  34. [34]

    P., & Bureau, L

    Davies-Strickleton, H., Débarre, D., El Amri, N., Verdier, C., Richter, R. P., & Bureau, L. (2018). Elastohydrodynamic lift at a soft wall. Physical Review Letters, 120(19), 198001

    work page 2018

  35. [35]

    Ding, L. (2025). Long-time asymptotics of passive scalar transport in periodically modulated channels. Journal of Fluid Mechanics, 1023, A19. doi:10.1017/jfm.2025.10814

    work page doi:10.1017/jfm.2025.10814 2025

  36. [36]

    Ding, L. (2023). Shear dispersion of multispecies electrolyte solutions in the channel domain. Journal of Fluid Mechanics, 970, A27

    work page 2023

  37. [37]

    Wang, X., & Christov, I. C. (2022). Reduced modelling and global instability of finite-Reynolds-number flow in compliant rectangular channels. Journal of Fluid Mechanics, 950, A26. 26

    work page 2022

  38. [38]

    G., & Stone, H

    Martínez-Calvo, A., Sevilla, A., Peng, G. G., & Stone, H. A. (2020). Start-up flow in shallow deformable microchannels. Journal of Fluid Mechanics, 885, A25

    work page 2020

  39. [39]

    C., Wang, X., & Christov, I

    Inamdar, T. C., Wang, X., & Christov, I. C. (2020). Unsteady fluid-structure interactions in a soft- walled microchannel: A one-dimensional lubrication model for finite Reynolds number. Physical Review Fluids, 5(6), 064101

    work page 2020

  40. [40]

    Ramos-Arzola, L., & Bautista, O. (2021). Fluid structure-interaction in a deformable microchannel conveying a viscoelastic fluid. Journal of Non-Newtonian Fluid Mechanics, 296, 104634

    work page 2021

  41. [41]

    A., & Christov, I

    Boyko, E., Stone, H. A., & Christov, I. C. (2022). Flow ratepressure drop relation for deformable channels via fluidic and elastic reciprocal theorems. Physical Review Fluids, 7(9), L092201

    work page 2022

  42. [42]

    Gervais, T., El-Ali, J., Günther, A., & Jensen, K. F. (2006). Flow-induced deformation of shallow microfluidic channels. Lab on a Chip, 6(4), 500-507

    work page 2006

  43. [43]

    C., & Feng, J

    Chun, S., Christov, I. C., & Feng, J. (2025). Experimental investigation of the flow ratepressure drop relation of a viscoelastic Boger fluid in a deformable channel. Physical Review Applied, 24(3), 034001

    work page 2025

  44. [44]

    Keiser, L., Marmottant, P., & Dollet, B. (2022). Intermittent air invasion in pervaporating compliant microchannels. Journal of Fluid Mechanics, 948, A52

    work page 2022

  45. [45]

    Boyko, E., & Christov, I. C. (2023). Non-Newtonian fluidstructure interaction: Flow of a viscoelastic Oldroyd-B fluid in a deformable channel. Journal of Non-Newtonian Fluid Mechanics, 313, 104990

    work page 2023

  46. [46]

    C., & Feng, J

    Chun, S., Boyko, E., Christov, I. C., & Feng, J. (2024). Flow ratepressure drop relations for shear- thinning fluids in deformable configurations: Theory and experiments. Physical Review Fluids, 9(4), 043302

    work page 2024

  47. [47]

    Boyko, E. (2025). Interplay between complex fluid rheology and wall compliance in the flow resistance of deformable axisymmetric configurations. Journal of Non-Newtonian Fluid Mechanics, 336, 105380

    work page 2025

  48. [48]

    Green, Y. (2022). Effects of surface-charge regulation, convection, and slip lengths on the electrical conductance of charged nanopores. Physical Review Fluids, 7(1), 013702

    work page 2022

  49. [49]

    Chakraborty, J., & Chakraborty, S. (2010). Influence of streaming potential on the elastic response of a compliant microfluidic substrate subjected to dynamic loading. Physics of Fluids, 22(12)

    work page 2010

  50. [50]

    Matse, M., Berg, P., & Eikerling, M. (2018). Counterion flow through a deformable and charged nanochannel. Physical Review E, 98(5), 053101

    work page 2018

  51. [51]

    Mandal, S., Ghosh, U., Bandopadhyay, A., & Chakraborty, S. (2015). Electro-osmosis of superim- posed fluids in the presence of modulated charged surfaces in narrow confinements. Journal of Fluid Mechanics, 776, 390-429

    work page 2015

  52. [52]

    K., Mahapatra, P., Ohshima, H., & Gopmandal, P

    Pal, S. K., Mahapatra, P., Ohshima, H., & Gopmandal, P. P. (2024). Electroosmotic flow modula- tion and enhanced mixing through a soft nanochannel with patterned wall charge and hydrodynamic slippage. Industrial & Engineering Chemistry Research, 63(29), 12977-12998

    work page 2024

  53. [53]

    Mukherjee, S., Dhar, J., DasGupta, S., & Chakraborty, S. (2022). Electrokinetically augmented load bearing capacity of a deformable microfluidic channel. Physics of Fluids, 34(8)

    work page 2022

  54. [54]

    Boyko, E., Ilssar, D., Bercovici, M., & Gat, A. D. (2020). Interfacial instability of thin films in soft microfluidic configurations actuated by electro-osmotic flow. Physical Review Fluids, 5(10), 104201. 27

    work page 2020

  55. [55]

    M., Agrawal, S., Sarkar, K., & Dhar, P

    Bhaskaran, A. M., Agrawal, S., Sarkar, K., & Dhar, P. (2024). Elasto-compliance of harmonically stimulated soft micro-gaps during electro-magneto-kinetic flows. Soft Matter, 20(30), 5969-5982

    work page 2024

  56. [56]

    Maroundik, N., Ilssar, D., & Boyko, E. (2025). Diffusioosmotic flow in a soft microfluidic configuration induces fluid-structure instability. Physical Review Fluids, 10(10), 104203

    work page 2025

  57. [57]

    McNamee, C. E. (2019). Effect of a liquid flow on the forces between charged solid surfaces and the non-equilibrium electric double layer. Advances in Colloid and Interface Science, 266, 21-33

    work page 2019

  58. [58]

    Norouzisadeh, M., Leroy, P., & Soulaine, C. (2024). A lubrication model with slope-dependent disjoin- ing pressure for modeling wettability alteration. Computer Physics Communications, 298, 109114

    work page 2024

  59. [59]

    D., Newman, J., & Radke, C

    Yaros, H. D., Newman, J., & Radke, C. J. (2003). Evaluation of DL VO theory with disjoining-pressure and film-conductance measurements of common-black films stabilized with sodium dodecyl sulfate. Journal of colloid and interface science, 262(2), 442-455

    work page 2003

  60. [60]

    Rodríguez, A., Arcos, J., Méndez, F., & Bautista, O. (2025). Gaseous slip flow through a shallow deformable microchannel. Physics of Fluids, 37(6). 28

    work page 2025