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Journal articles on the topic 'Debye-Smoluchowski'

Author: Grafiati

Published: 4 June 2021

Last updated: 16 February 2022

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1

Siddiqui, Abuzar A., and Akhlesh Lakhtakia. "Steady electro-osmotic flow of a micropolar fluid in a microchannel." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465, no. 2102 (2008): 501–22. http://dx.doi.org/10.1098/rspa.2008.0354.

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We have formulated and solved the boundary-value problem of steady, symmetric and one-dimensional electro-osmotic flow of a micropolar fluid in a uniform rectangular microchannel, under the action of a uniform applied electric field. The Helmholtz–Smoluchowski equation and velocity for micropolar fluids have also been formulated. Numerical solutions turn out to be virtually identical to the analytic solutions obtained after using the Debye–Hückel approximation, when the microchannel height exceeds the Debye length, provided that the zeta potential is sufficiently small in magnitude. For a fixe

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2

Eads, Daniel D., N. Periasamy, and Graham R. Fleming. "Diffusion influenced reactions at short times: Breakdown of the Debye–Smoluchowski description." Journal of Chemical Physics 90, no. 7 (1989): 3876–78. http://dx.doi.org/10.1063/1.455794.

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3

Alexiewicz, W., S. Kielich, and L. Wołejko. "Ensemble Averages Calculated for Two-Dimensional Smoluchowski-Debye Rotational Diffusion in DC Electric Field." Acta Physica Polonica A 85, no. 6 (1994): 959–69. http://dx.doi.org/10.12693/aphyspola.85.959.

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4

Alexiewicz, Władysław. "Dispersion and dynamics of third-order electric polarisation in liquids within Smoluchowski-Debye theory." Physica A: Statistical Mechanics and its Applications 155, no. 1 (1989): 84–104. http://dx.doi.org/10.1016/0378-4371(89)90053-8.

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5

Lukaszewicz, T., A. Ravinski, and I. Makoed. "Preparation, Electronic Structure and Optical Properties of the Electrochromic Thin Films." Nonlinear Analysis: Modelling and Control 9, no. 4 (2004): 363–72. http://dx.doi.org/10.15388/na.2004.9.4.15150.

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A new multilayer electrochromic device has been constructed according to the following pattern: glass1/ITO/WO3/gel electrolyte/BP/ITO/glass2, where ITO is a transparent conducting film made of indium and tin oxide and with the surface resistance equal 8–10 Ω/cm2 . The electrochromic devices obtained in the research are characterized by great (considerable) transmittance variation between coloration and bleaching state (25–40% at applied voltage of 1.5 to 3 V), and also high coloration efficiency (above 100 cm2 /C). Selfconsistent energy bands, dielectric permittivity and optical parameters are

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6

Zhao, Yixing, and Gordon R. Freeman. "Solvent effects on the reactivity of solvated electrons with in C1 to C4 alcohols." Canadian Journal of Chemistry 73, no. 2 (1995): 284–88. http://dx.doi.org/10.1139/v95-038.

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The rate constants [Formula: see text] in pure C1 to C4 alcohol solvents at 298 K increase with increasing viscosity and decreasing permittivity. Thus the reactivity increases with decreasing diffusivity and increasing coulombic repulsion, so the Debye–Smoluchowski model does not apply. The effective reaction radius κRr increases with decrease of effective trap depth Er/τ of the electrons in the solvent: κRr = CτRr(Er/τ)pτ. Values of κRr and Er/τ change with temperature, and values of Pτ fall in four categories: ∼0.0 for water and methanol; ∼1.3 for primary alcohols; 0.6 for secondary alcohols

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7

TRIPATHI, DHARMENDRA, SHASHI BHUSHAN, and O. ANWAR BÉG. "ANALYTICAL STUDY OF ELECTRO-OSMOSIS MODULATED CAPILLARY PERISTALTIC HEMODYNAMICS." Journal of Mechanics in Medicine and Biology 17, no. 03 (2017): 1750052. http://dx.doi.org/10.1142/s021951941750052x.

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A mathematical model is developed to analyze electro-kinetic effects on unsteady peristaltic transport of blood in cylindrical vessels of finite length. The Newtonian viscous model is adopted. The analysis is restricted under Debye–Hückel linearization (i.e., wall zeta potential [Formula: see text] 25[Formula: see text]mV) is sufficiently small). The transformed, nondimensional conservation equations are derived via lubrication theory and long wavelength and the resulting linearized boundary value problem is solved exactly. The case of a thin electric double layer (i.e., where only slip electr

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8

Alexiewicz, Wladyslaw, and Krzysztof Grygiel. "Linear dielectric relaxation of dipolar, rigid, non-interacting and asymmetric-top molecules in Smoluchowski-Debye approach." Journal of Computational Methods in Sciences and Engineering 10, no. 3-6 (2010): 341–56. http://dx.doi.org/10.3233/jcm-2010-0311.

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9

Green, Nicholas J. B., Michael J. Pilling, and Peter Clifford. "Approximate solution of the Debye-Smoluchowski equation for geminate ion recombination in solvents of low permittivity." Molecular Physics 67, no. 5 (1989): 1085–97. http://dx.doi.org/10.1080/00268978900101651.

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10

Dai, Cheng, and Ping Sheng. "A Focus on Two Electrokinetics Issues." Micromachines 11, no. 12 (2020): 1028. http://dx.doi.org/10.3390/mi11121028.

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This review article intends to communicate the new understanding and viewpoints on two fundamental electrokinetics topics that have only become available recently. The first is on the holistic approach to the Poisson–Boltzmann equation that can account for the effects arising from the interaction between the mobile ions in the Debye layer and the surface charge. The second is on the physical picture of the inner electro-hydrodynamic flow field of an electrophoretic particle and its drag coefficient. For the first issue, the traditional Poisson–Boltzmann equation focuses only on the mobile ions

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11

Baños, Ruben, José Arcos, Oscar Bautista, and Federico Méndez. "Slippage Effect on the Oscillatory Electroosmotic Flow of Power-Law Fluids in a Microchannel." Defect and Diffusion Forum 399 (February 2020): 92–101. http://dx.doi.org/10.4028/www.scientific.net/ddf.399.92.

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The oscillatory electroosmotic flow (OEOF) under the influence of the Navier slip condition in power law fluids through a microchannel is studied numerically. A time-dependent external electric field (AC) is suddenly imposed at the ends of the microchannel which induces the fluid motion. The continuity and momentum equations in the and direction for the flow field were simplified in the limit of the lubrication approximation theory (LAT), and then solved using a numerical scheme. The solution of the electric potential is based on the Debye-Hückel approximation which suggest that the surface p

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12

Alexiewicz, Władysław. "Ensemble averages for Smoluchowski–Debye rotational diffusion in the presence of a two-angle-dependent reorienting force." Chemical Physics Letters 320, no. 5-6 (2000): 582–86. http://dx.doi.org/10.1016/s0009-2614(00)00300-6.

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13

Traytak, S. D. "The two-sided bounds of the solution of the Debye-Smoluchowski equation with an arbitrary interaction potential." Chemical Physics Letters 183, no. 5 (1991): 327–32. http://dx.doi.org/10.1016/0009-2614(91)90386-n.

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14

Vysikaylo, P. I., and N. S. Ryabukha. "Gravitational and Coulomb Potentials Interference in Heliosphere." Herald of the Bauman Moscow State Technical University. Series Natural Sciences, no. 6 (93) (December 2020): 93–121. http://dx.doi.org/10.18698/1812-3368-2020-6-93-121.

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Interference of gravitational and Coulomb potentials in the entire heliosphere is considered, it is being manifested in generation of two opposite flows of charged particles: 1) that are neutral or with a small charge to the Sun, and 2) in the form of a solar wind from the Sun. According to the Einstein --- Smoluchowski relation Te(R) = eDe / µe ~ (E/N)0.75 based on the N experimental values (heavy particles number density --- the ne electron concentration), the Te electron temperature in the entire heliosphere was for the first time analytically calculated depending on the charge of the Sun a

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15

Flannery, M. R., and E. J. Mansky. "Analytical and numerical solutions of the time-dependent Debye-Smoluchowski equation for transport-influenced reactions: Ion-ion recombination." Chemical Physics 132, no. 1-2 (1989): 115–36. http://dx.doi.org/10.1016/0301-0104(89)80082-5.

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16

Munawar, Sufian, and Najma Saleem. "Entropy generation in thermally radiated hybrid nanofluid through an electroosmotic pump with ohmic heating: Case of synthetic cilia regulated stream." Science Progress 104, no. 3 (2021): 003685042110259. http://dx.doi.org/10.1177/00368504211025921.

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Synthetic cilia-regulated transports through micro and nanofluidic devices guarantee an efficient delivery of drugs and other biological substances. Entropy analysis of cilia stimulated transport of thermally radiated hybrid nanofluid through an electroosmotic pump is conducted in this study. Joint effects of applied Lorentz force and Ohmic heating on the intended stream are also studied. Metachronal arrangements of cilia field coating channel inner side, are liable to generate current in the fluid. After using the lubrication and the Debye-Huckel estimations, numerical solutions of the envisi

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17

Yariv, Ehud, Ory Schnitzer, and Itzchak Frankel. "Streaming-potential phenomena in the thin-Debye-layer limit. Part 1. General theory." Journal of Fluid Mechanics 685 (September 19, 2011): 306–34. http://dx.doi.org/10.1017/jfm.2011.316.

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AbstractElectrokinetic streaming-potential phenomena are driven by imposed relative motion between liquid electrolytes and charged solids. Owing to non-uniform convective ‘surface’ current within the Debye layer Ohmic currents from the electro-neutral bulk are required to ensure charge conservation thereby inducing a bulk electric field. This, in turn, results in electro-viscous drag enhancement. The appropriate modelling of these phenomena in the limit of thin Debye layers $\delta \ensuremath{\rightarrow} 0$ ($\delta $ denoting the dimensionless Debye thickness) has been a matter of ongoing c

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18

Zhao, Yixing, and Gordon R. Freeman. "Solvent effects on the reactivity of solvated electrons with ions in tert-butanol/water mixtures." Canadian Journal of Chemistry 73, no. 3 (1995): 392–400. http://dx.doi.org/10.1139/v95-052.

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Reactions of [Formula: see text] with the ions [Formula: see text] showed different variations of rate with solvent composition in tert-butanol/water mixtures from 0 to 100 mol% water. In pure tert-butanol solvent at 298 K the respective values of k2 (106 m3 mol−1 s−1) are 3.2, 13, and 42. The estimated value of reaction radius Rr depends on the minimum number of solvent molecules needed between [Formula: see text] and the reactant ion to attain the static values of ε of the bulk solvent used in the calculation of the Debye factor f; Rr is assumed to be larger in the alcohol-rich region than i

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19

Alexiewicz, Władysław, and Hanna Derdowska-Zimpel. "Rise and decay of the optical birefringence of liquids in reorienting pulse field in the approach of the smoluchowski-debye theory." Journal of Molecular Liquids 45, no. 3-4 (1990): 157–71. http://dx.doi.org/10.1016/0167-7322(90)80027-h.

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20

Traytak, S. D. "On the solution of the Debye-Smoluchowski equation with a Coulomb potential. II. An approximation of the time-dependent rate constant." Chemical Physics 150, no. 1 (1991): 1–12. http://dx.doi.org/10.1016/0301-0104(91)90049-y.

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21

Peiris, Sedigallage A., and Gordon R. Freeman. "Solvent structure effects on solvated electron reactions with ions in 2-butanol/water mixed solvents." Canadian Journal of Chemistry 69, no. 5 (1991): 884–92. http://dx.doi.org/10.1139/v91-130.

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The Smoluchowski–Debye–Stokes–Einstein equation for the rate constant k2 of a bimolecular reaction between charged or polar species[Formula: see text]was used to evaluate effects of bulk solvent properties on reaction rates of solvated electrons with [Formula: see text] and [Formula: see text] in 2-butanol/water mixed solvents. To explain detailed effects it was necessary to consider more specific behavior of the solvent. Rate constants k2, activation energies E2, and pre-exponential factors A2 of these reactions vary with the composition of 2-butanol/water mixtures. The values of E2 were in g

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22

Pines, Ehud, Dan Huppert, and Noam Agmon. "Geminate recombination in excited‐state proton‐transfer reactions: Numerical solution of the Debye–Smoluchowski equation with backreaction and comparison with experimental results." Journal of Chemical Physics 88, no. 9 (1988): 5620–30. http://dx.doi.org/10.1063/1.454572.

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23

Noreen, Waheed, Hussanan, and Lu. "Entropy Analysis in Double-Diffusive Convection in Nanofluids through Electro-osmotically Induced Peristaltic Microchannel." Entropy 21, no. 10 (2019): 986. http://dx.doi.org/10.3390/e21100986.

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A theoretical study is presented to examine entropy generation in double-diffusive convection in an Electro-osmotic flow (EOF) of nanofluids via a peristaltic microchannel. Buoyancy effects due to change in temperature, solute concentration and nanoparticle volume fraction are also considered. This study was performed under lubrication and Debye-Hückel linearization approximation. The governing equations are solved exactly. The effect of dominant hydrodynamic parameters (thermophoresis, Brownian motion, Soret and Dufour), Grashof numbers (thermal, concentration and nanoparticle) and electro-os

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24

Sedigallage, Annesley Peiris, and Gordon R. Freeman. "Solvent structure effects on solvated electron reactions in mixed solvents: Negative ions in 1-propanol–water and 2-propanol–water." Canadian Journal of Physics 68, no. 9 (1990): 940–46. http://dx.doi.org/10.1139/p90-133.

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In models of the kinetics of chemical reactions in solution the solvent is commonly assumed to be a uniform continuum. An example is the Smoluchowski–Debye–Stokes–Einstein equation for the rate constant k2 of a bimolecular reaction between charged or polar species: k2 = κRTfrr/1.5ηrd where κ = probability that a reactant encounter pair will react, R = gas constant, T = temperature, f = Coulombic interaction factor, rr = effective radius for reaction, η = solvent viscosity, and rd = effective radius for mutual diffusion. The equation is useful in evaluating effects of bulk-fluid properties on r

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25

Traytak, S. D. "On the solution of the Debye-Smoluchowski equation with a coulomb potential. I. The case of a random initial distribution and a perfectly absorbing sink." Chemical Physics 140, no. 2 (1990): 281–97. http://dx.doi.org/10.1016/0301-0104(90)87009-z.

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26

Traytak, S. D. "On the solution of the Debye-Smoluchowski equation with a Coulomb potential. III. The case of a Boltzmann initial distribution and a perfectly absorbing sink." Chemical Physics 154, no. 2 (1991): 263–80. http://dx.doi.org/10.1016/0301-0104(91)80077-u.

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27

Peiris, Sedigallage A., and Gordon R. Freeman. "Solvent structure effects on solvated electron reactions in mixed solvents: positive ions in 1-propanol/water and 2-propanol/water." Canadian Journal of Chemistry 69, no. 1 (1991): 157–66. http://dx.doi.org/10.1139/v91-025.

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In models of the kinetics of chemical reactions in solution the solvent is commonly assumed to be a uniform continuum. An example is the Smoluchowski–Debye–Stokes–Einstein equation for the rate constant k2 of a bimolecular reaction between charged or polar species:[Formula: see text]where κ is the probability that a reactant encounter pair will react, R is the gas constant, T is the temperature, f is a factor that reflects the effect of electrostatic interaction between the reactants on their probability of attaining the closeness of approach rr at which reaction occurs, η is the solvent visco

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28

Sadeghi, Morteza, Arman Sadeghi, and Mohammad Hassan Saidi. "Electroosmotic Flow in Hydrophobic Microchannels of General Cross Section." Journal of Fluids Engineering 138, no. 3 (2015). http://dx.doi.org/10.1115/1.4031430.

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Adopting the Navier slip conditions, we analyze the fully developed electroosmotic flow in hydrophobic microducts of general cross section under the Debye–Hückel approximation. The method of analysis includes series solutions which their coefficients are obtained by applying the wall boundary conditions using the least-squares matching method. Although the procedure is general enough to be applied to almost any arbitrary cross section, eight microgeometries including trapezoidal, double-trapezoidal, isosceles triangular, rhombic, elliptical, semi-elliptical, rectangular, and isotropically etch

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29

Guo, Fei, Lin Zhang, and Xin Liu. "Nonlinear dispersive cell model for microdosimetry of nanosecond pulsed electric fields." Scientific Reports 10, no. 1 (2020). http://dx.doi.org/10.1038/s41598-020-76642-w.

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Abstract For applications based on nanosecond pulsed electric fields (nsPEFs), the underlying transmembrane potential (TMP) distribution on the plasma membrane is influenced by electroporation (EP) of the plasma membrane and dielectric dispersion (DP) of all cell compartments which is important for predicting the bioelectric effects. In this study, the temporal and spatial distribution of TMP on the plasma membrane induced by nsPEFs of various pulse durations (3 ns, 5 ns unipolar, 5 ns bipolar, and 10 ns) is investigated with the inclusion of both DP and EP. Based on the double-shelled dielect

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30

PINES, E., D. HUPPERT, and N. AGMON. "ChemInform Abstract: Geminate Recombination in Excited-State Proton Transfer Reactions: Numerical Solution of the Debye-Smoluchowski Equation with Backreaction and Comparison with Experimental Results." ChemInform 19, no. 37 (1988). http://dx.doi.org/10.1002/chin.198837116.

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31

Chu, Henry C. W., and Chiu-On Ng. "Electroosmotic Flow Through a Circular Tube With Slip-Stick Striped Wall." Journal of Fluids Engineering 134, no. 11 (2012). http://dx.doi.org/10.1115/1.4007690.

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This is an analytical study on electrohydrodynamic flows through a circular tube, of which the wall is micropatterned with a periodic array of longitudinal or transverse slip-stick stripes. One unit of the wall pattern comprises two stripes, one slipping and the other nonslipping, and each with a distinct ζ potential. Using the methods of eigenfunction expansion and point collocation, the electric potential and velocity fields are determined by solving the linearized Poisson–Boltzmann equation and the Stokes equation subject to the mixed electrohydrodynamic boundary conditions. The effective e

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