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    Electro-osmotic and Pressure-Driven Flow in an Eccentric Microannulus
    (Walter De Gruyter Gmbh, 2019) Akyildiz, F. Talay; AlSohaim, Abeer F. A.; Kaplan, Nurhan
    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-Huckel 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.
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    Spectral Approximation of an Oldroyd Liquid Draining down a Porous Vertical Surface
    (HINDAWI PUBLISHING CORPORATION, 2011) Akyildiz, F. Talay; Koksal, Mehmet Emir; Kaplan, Nurhan
    Consideration is given to the free drainage of an Oldroyd four-constant liquid from a vertical porous surface. The governing systems of quasilinear partial differential equations are solved by the Fourier-Galerkin spectral method. It is shown that Fourier-Galerkin approximations are convergent with spectral accuracy. An efficient and accurate algorithm based on the Fourier-Galerkin approximations for the governing system of quasilinear partial differential equations is developed and implemented. Numerical results indicating the high accuracy and effectiveness of this algorithm are presented. The effect of the material parameters, elasticity, and porous medium constant on the centerline velocity and drainage rate is discussed.