Abstract
Flow behavior of transient mixed electro-osmotic and pressure driven flows (EOF/PDF) through a microannulus is investigated based on a linearized Poisson-Boltzmann equation and Navier-Stokes equation. A semi-analytical solution of EOF velocity distribution as functions of relevant parameters is derived by Laplace transform method. By numerical computations of inverse Laplace transform, the effects of inner to outer wall zeta potential β, the normalized pressure gradient Ω and the inner to outer radius ratio α on transient EOF velocity are presented.
Highlights
Microfluidic devices have become important due to their applications in medical science, biology, and analytical chemistry [1]
We will discuss the influence of these parameters on the dimensionless transient electroosmotic flow (EOF) velocity
For fixed α = 0.4, Figure 2 illustrates the variations of normalized EOF velocity at different time (0.02, 0.06, 0.12 and 0.20) with radius for different inner to outer zeta potential ratio β (−1, 0, 1 and 2)
Summary
Microfluidic devices have become important due to their applications in medical science, biology, and analytical chemistry [1]. EOF is widely used in the fields of biology, chemistry and medicine Both theoretical and experimental investigations to steady EOF have been well studied in various microcapillaries geometric domains [4,5,6,7,8,9,10,11,12]. Such steady electro-osmotic flows are likely to necessitate relatively larger voltages and field strengths, which might be rather undesirable in many practical situations. The evolution of the EOF velocity at any time can be obtained
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