Abstract
The pulsatile electroosmotic flow (PEOF) of a Maxwell fluid in a parallel flat plate microchannel with asymmetric wall zeta potentials is theoretically analyzed. By combining the linear Maxwell viscoelastic model, the Cauchy equation, and the electric field solution obtained from the linearized Poisson-Boltzmann equation, a hyperbolic partial differential equation is obtained to derive the flow field. The PEOF is controlled by the angular Reynolds number, the ratio of the zeta potentials of the microchannel walls, the electrokinetic parameter, and the elasticity number. The main results obtained from this analysis show strong oscillations in the velocity profiles when the values of the elasticity number and the angular Reynolds number increase due to the competition among the elastic, viscous, inertial, and electric forces in the flow.
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Acknowledgement
M. PERALTA acknowledges the support of the Consejo Nacional de Ciencia y Tecnología program for a postdoctoral fellowship at the Escuela Superior de Ingeniería Mecánica Azcpotzalco from the Instituto Politécnico Nacional of Mexico.
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Project supported by the Fondo Sectorial de Investigación para la Educación from the Secretaría de Educación Pública-Consejo Nacional de Ciencia y Tecnología (No. CB-2013/220900) and the Secretaría de Investigación y Posgrado from Instituto Politécnico Nacional of Mexico (No. 20171181)
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Peralta, M., Bautista, O., Méndez, F. et al. Pulsatile electroosmotic flow of a Maxwell fluid in a parallel flat plate microchannel with asymmetric zeta potentials. Appl. Math. Mech.-Engl. Ed. 39, 667–684 (2018). https://doi.org/10.1007/s10483-018-2328-6
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DOI: https://doi.org/10.1007/s10483-018-2328-6