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A Fast Convergent Semi-analytic Method for an Electrohydrodynamic Flow in a Circular Cylindrical Conduit

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Abstract

A semi-analytical solution of the nonlinear boundary value problem that models the electrohydrodynamic flow of a fluid in an ion drag configuration in a circular cylindrical conduit is presented. An integral operator expressed in terms of Green’s function is constructed then followed by an application of fixed point theory to generate a highly accurate semi-analytical expression of the fluid velocity for all possible values of relevant parameters. A proof of convergence for the proposed method, based on the contraction mapping principle, is presented. Numerical simulations and comparison with other analytical methods confirm that the proposed approach is convergent, stable, and highly accurate.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, American University of Sharjah, Sharjah, United Arab Emirates

    Marwan Abukhaled & S. A. Khuri

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  1. Marwan Abukhaled
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  2. S. A. Khuri
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Correspondence to Marwan Abukhaled.

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Abukhaled, M., Khuri, S.A. A Fast Convergent Semi-analytic Method for an Electrohydrodynamic Flow in a Circular Cylindrical Conduit. Int. J. Appl. Comput. Math 7, 32 (2021). https://doi.org/10.1007/s40819-021-00974-y

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  • DOI: https://doi.org/10.1007/s40819-021-00974-y

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