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Electroosmosis modulated peristaltic biorheological flow through an asymmetric microchannel: mathematical model

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Abstract

A theoretical study is presented of peristaltic hydrodynamics of an aqueous electrolytic non-Newtonian Jeffrey bio-rheological fluid through an asymmetric microchannel under an applied axial electric field. An analytical approach is adopted to obtain the closed form solution for velocity, volumetric flow, pressure difference and stream function. The analysis is also restricted under the low Reynolds number assumption (Stokes flow) and lubrication theory approximations (large wavelength). Small ionic Peclét number and Debye–Hückel linearization (i.e. wall zeta potential ≤ 25 mV) are also considered to simplify the Nernst–Planck and Poisson–Boltzmann equations. Streamline plots are also presented for the different electro-osmotic parameter, varying magnitudes of the electric field (both aiding and opposing cases) and for different values of the ratio of relaxation to retardation time parameter. Comparisons are also included between the Newtonian and general non-Newtonian Jeffrey fluid cases. The results presented here may be of fundamental interest towards designing lab-on-a-chip devices for flow mixing, cell manipulation, micro-scale pumps etc. Trapping is shown to be more sensitive to an electric field (aiding, opposing and neutral) rather than the electro-osmotic parameter and viscoelastic relaxation to retardation ratio parameter. The results may also help towards the design of organ-on-a-chip like devices for better drug design.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Manipal University Jaipur, Jaipur, Rajasthan, 303007, India

    Dharmendra Tripathi & Ravindra Jhorar

  2. Fluid Mechanics, Propulsion and Nanosystems, Department of Mechanical and Aeronautical Engineering, Salford University, Newton Building, Salford, M54WT, England, UK

    O. Anwar Bég

  3. Botswana International University of Science and Technology, Private Bag 16, Palapye, Botswana

    Sachin Shaw

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  1. Dharmendra Tripathi
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  2. Ravindra Jhorar
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  4. Sachin Shaw
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Correspondence to Dharmendra Tripathi.

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Tripathi, D., Jhorar, R., Anwar Bég, O. et al. Electroosmosis modulated peristaltic biorheological flow through an asymmetric microchannel: mathematical model. Meccanica 53, 2079–2090 (2018). https://doi.org/10.1007/s11012-017-0795-x

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