Effect of Turbulence on the Streaming Potential

Deviation of linear relation between streaming potential and pore fluid pressure difference in granular material at relatively high Reynolds numbers

“…Secondly, we examine the flow through a porous media like our packing of glass beads, and propose the separation of the boundary layer as a cause of the deviation. Bocquet et al (1956) made streaming potential measurements using a capillary tube, and concluded that the H-S equation is valid as far as the entrance effect is negligible. Our observation cannot be attributed to the entrance effect.…”

“…Streaming potential measurements using a capillary have shown that the H-S equation is valid, even for turbulent flows in so far as the viscous sublayer is thicker than the electrical double layer (Bocquet et al, 1956;Rutgers et al, 1957;Stewart and Street, 1961;Kurtz et al, 1976). The viscous sublayer is a region near the solid surface where the viscous resistance is dominant, and the flow outside this layer is turbulent (e.g., Landau and Lifshitz, 1980).…”

“…When the flow became turbulent, excess ions obtained large velocities and generated large streaming currents. Bocquet et al (1956) also pointed out that the entrance effect should be negligible for the H-S equation to be valid. When the fluid flux is introduced from a wider conduit to a capillary, the fluid inertia makes the velocity profile transitional near the entrance.…”

Zeta potentials in the flotation of oxide and silicate minerals

“…Lyklema and Overbeek [26] have suggested a gradual transition between the mobile and immobile parts of the double layer in such systems. However, it is of interest to note that the electrokinetic potential has been found to be independent of Reynolds number, over a wide range from laminar to turbulent flow conditions [27]. Smith [12,28,29] has presented an interesting approach to confirm the validity of the w x iw y assumption in actual colloidal systems, It turns out that the assumption that the slipping plane and the Stern plane coincide is not only valid but extremely useful in dealing with the electrical double layer theory of adsorption.…”

On the Concentration Dependence of Second-Order Phenomenological Coefficients of Electrokinetic Phenomena

“…Results obtained by Bocquet et al [8] support that conclusion, since these authors found that the streaming potential was proportional to the pressure drop for all flow rates, regardless of whether the bulk flow was laminar or turbulent, under the assumption that a laminar flow film persists at the wall of the capillaries in any bulk flow conditions. Similar results were also found by Van Wagenen and Andrade [9].…”