1981
DOI: 10.1088/0022-3727/14/10/011
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The generation of electric currents by the laminar flow of dielectric liquids

Abstract: The electric current generated by the laminar flow of an insulating liquid through a cylindrical pipe has been calculated using a model that incorporates nonequilibrium boundary conditions at the wall. Analytical solutions to the model equations are derived in the limits of high and low electrical conductivity and numerical solutions are given at intermediate conductivities. The solutions depend on four parameters that are dimensionless representations of the electrical conductivity, the rate of adsorption of … Show more

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Cited by 65 publications
(29 citation statements)
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“…In their treatments of the fully developed streaming current in both laminar (24) and turbulent (25) flows these authors specialize Eq. 2.13 by omitting the K terms.…”
Section: Streaming Currents In Conducting Systemsmentioning
confidence: 99%
“…In their treatments of the fully developed streaming current in both laminar (24) and turbulent (25) flows these authors specialize Eq. 2.13 by omitting the K terms.…”
Section: Streaming Currents In Conducting Systemsmentioning
confidence: 99%
“…However the physicochemical process at the origin of the phenomenon is still under investigation. Indeed, even if several models have been proposed [6][7][8], experiments made recently with oil flows past pressboards do not follow the predictions [9].…”
Section: Introductionmentioning
confidence: 98%
“…This reservoir is used as a tranquilization vessel to ensure a neutrality of the liquid at the entrance of the capillary. After the liquid has flown in the capillary it is collected in the collecting vessel (6). The electric charge transported by the liquid due to the flow electrification process in the capillary is measured with a picoammeter Keithley (11) connected to a recorder (12).…”
Section: Introductionmentioning
confidence: 99%
“…However, in order to obtain analytical solutions some simplifications are needed. For instance, some authors assume the reactions' kinetics to be too slow [20][21][22][23][24], or too fast [25][26][27] when compared to charge relaxation time. In this work, we present and solve the differential equation that governs the transient formation of an EDL when a liquid at rest is put in contact with a solid wall, in the case of weak space charge density (which allows for the linearization of the equation).…”
Section: Introductionmentioning
confidence: 99%