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Flow of Eyring-Powell liquid due to oscillatory stretchable curved sheet with modified Fourier and Fick’s model

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Abstract

This study deals with the features of the mass and heat transport mechanism by adopting a modified version of Fourier and Fick’s model known as the Cattaneo-Christov double diffusive theory. The time-dependent magnetohydrodynamic (MHD) flow of the Eyring-Powell liquid across an oscillatory stretchable curved sheet in the presence of Fourier and Fick’s model is investigated. The acquired set of flow equations is transformed into the form of nonlinear partial differential equations (PDEs) by applying appropriate similarity variables. A convergent series solution to the developed nonlinear equations is accomplished with the help of an analytical approach, i.e., the homotopy analysis method (HAM). The consequences of diverse parameters, including the dimensionless Eyring-Powell liquid parameter, the radius of curvature, the Schmidt/Prandtl numbers, the ratio of the oscillatory frequency of the sheet to its stretchable rate constant, the mass and thermal relaxation variables involved in the flow, and the heat and mass properties, are displayed through graphs and tables. It is noted from this study that the amplitude of the pressure distribution rises for the high parametric values of the Eyring-Powell parameter.

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Acknowledgements

The authors are grateful to the respected reviewers for their positive comments and constructive ideas for improving the manuscript’s quality.

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Authors and Affiliations

  1. Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, 63100, Pakistan

    M. Imran & Z. Abbas

  2. Department of Mathematics, Khwaja Fareed University of Engineering & Information Technology, Rahim Yar Khan, 64200, Pakistan

    M. Naveed

Authors
  1. M. Imran
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  2. Z. Abbas
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  3. M. Naveed
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Correspondence to M. Naveed.

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Imran, M., Abbas, Z. & Naveed, M. Flow of Eyring-Powell liquid due to oscillatory stretchable curved sheet with modified Fourier and Fick’s model. Appl. Math. Mech.-Engl. Ed. 42, 1461–1478 (2021). https://doi.org/10.1007/s10483-021-2779-9

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  • DOI: https://doi.org/10.1007/s10483-021-2779-9

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