Time Periodic Electroosmotic Flow of The Generalized Maxwell Fluids in a Semicircular Microchannel |
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Authors: | BAO Li-Ping JIAN Yong-Jun CHANG Long SU Jie ZHANG Hai-Yan LIU Quan-Sheng |
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Affiliation: | 1. School of Mathematical Science, Inner Mongolia University, Hohhot 010021, China;2. School of Mathematics and Statistics, Inner Mongolia University of Finance and Economics, Hohhot 010051, China;3. College of Mathematical Science, Baotou Teacher's College, Baotou 014030, China |
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Abstract: | Analytical solutions are presented using method of separation of variables for the time periodic electroosmotic flow (EOF) of linear viscoelastic fluids in semicircular microchannel. The linear viscoelastic fluids used here are described by the general Maxwell model. The solution involves analytically solving the linearized Poisson-Boltzmann (P -B) equation, together with the Cauchy momentum equation and the general Maxwell constitutive equation. By numerical computations, the influences of electric oscillating Reynolds number Re and Deborah number De on velocity amplitude are presented. For small Re, results show that the larger velocity amplitude is confined to the region near the charged wall when De is small. With the increase of the Deborah number De, the velocity far away the charged wall becomes larger for large Deborah number De. However, for larger Re, the oscillating characteristic of the velocity amplitude occurs and becomes significant with the increase of De, especially for larger Deborah number. |
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Keywords: | time periodic EOF generalized Maxwell fluids semi-circular micro-channel oscillating Reynolds number Deborah number |
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