Abstract
The motivation of the present work is to form vortical flow by designing potential heterogeneity in a different manner on both walls of a microchannel. A complete mathematical model of two-dimensional is considered to control the solute transport and mixing efficiency in the combined flow for electroosmotic and pressure gradient. The characteristics equation of this model is governed by simultaneously solving the nonlinear Poisson equation, the Nernst–Planck equations and modified Navier–Stokes equations. The pressure gradient forms in flow direction due to potential heterogeneity of microchannel wall. The vortex forms on patch, increases with ionic concentration and diminishes with the favorable pressure gradient case. The average flow is always increased for pressure-assisted electroosmotic flow. The vortex formation in electroosmotic flow has very much essential for solute mixing. The potential heterogeneity in walls develops a vortex which generates the pressure gradient to promote the mixing efficiency. The mixing performance is compared with the plane channel and several other forms of surface heterogeneity such as patches with symmetric and asymmetric manners and single patch. The mixing performance increases by introducing potential heterogeneity in channel surface. The potential heterogeneity in an asymmetric manner gives maximum mixing performance of a solute. There is no such effective variation on solute mixing between symmetric and asymmetric potential heterogeneity cases. The mixing index decreases with imposed pressure gradient for all forms of surface heterogeneity.
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Acknowledgements
Author (S.Bera) acknowledges the Science and Engineering Research Board, Dept. of Sci. & Tech., Govt. of India, for financial support through project grant (ECR/2016/000771).
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Bera, S., Bhattacharyya, S. (2020). Solute Transport and Mixing Efficiency on Electrokinetic Flow in a Heterogeneous Microchannel. In: Bhattacharyya, S., Kumar, J., Ghoshal, K. (eds) Mathematical Modeling and Computational Tools. ICACM 2018. Springer Proceedings in Mathematics & Statistics, vol 320. Springer, Singapore. https://doi.org/10.1007/978-981-15-3615-1_2
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