Electro-osmotic and Pressure-Driven Flow in an Eccentric Microannulus
Autor: | Nurhan Kaplan, F. Talay Akyildiz, Abeer F.A. AlSohaim |
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Rok vydání: | 2019 |
Předmět: |
Physics
Finite difference method General Physics and Astronomy Pressure-driven flow 02 engineering and technology Mechanics Poisson–Boltzmann equation 021001 nanoscience & nanotechnology 01 natural sciences 010305 fluids & plasmas Physics::Fluid Dynamics 0103 physical sciences Eccentric Physical and Theoretical Chemistry 0210 nano-technology Mathematical Physics Bipolar coordinates |
Zdroj: | Zeitschrift für Naturforschung A. 74:513-521 |
ISSN: | 1865-7109 0932-0784 |
Popis: | Consideration is given to steady, fully developed mixed electro-osmotic/pressure-driven flow of Newtonian fluid in an eccentric microannulus. The governing Poisson–Boltzmann and momentum equations are solved numerically in bipolar coordinates. It is shown that for a fixed aspect ratio, fully eccentric channels sustain the maximum average viscosity (i.e. flow rate) under the same dimensionless pressure gradient and electro kinetic radius. For the Debye–Hückel approximation (linearised Poisson–Boltzmann equation), we show that closed-form analytical solution can be derived for velocity field. Finally, the effect of the electrokinetic radius, pressure gradient, and eccentricity on the flow field was investigated in detail. |
Databáze: | OpenAIRE |
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