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Exact analysis of electro-osmotic flow of Walters’-B fluid with non-singular kernel

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Abstract

Applying the electric field to a fluid flowing on an infinite vertical plate is the most recent technique used for studying fluid movement. This technique is known as electro-osmotic flow (EOF). Therefore, the core aim of the present research work is to examine the time-dependent electro-osmotic flow of viscoelastic fluid on a vertical flat plate together with the effects of heat generation and chemical reaction. The classical system of governing equations has been fractionalised by means of Caputo–Fabrizio’s time-fractional derivative. Governing equations have been non-dimensionalised by using relative dimensionless quantities. The exact solutions for the momentum, temperature and concentration equations have been developed by implementing the Laplace transform technique. For graphical analysis, the solutions have been plotted against the inserted parameters using the computational software Mathematica. It is interesting to mention that the time-fractional model provides more than one fluid layer for the analysis of the fluid motion, heat distribution and mass concentration, which is not possible by assuming the classical mathematical model. It is also very important to mention that the velocity profile shows declination for greater values of electro-osmotic parameter Es.

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Acknowledgements

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University, Saudi Arabia for funding this work through Research Groups Program under Grant Number (R.G.P2./99/41).

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi (RMUTT) Thanyaburi, Pathumthani, Thailand

    Pongsakorn Sunthrayuth

  2. Department of Mathematics, Faculty of Science, King Khalid University, Abha, 61413, Saudi Arabia

    Aisha Alderremy

  3. Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut, Egypt

    Shaban Aly

  4. Department of Mathematics, Abdul Wali Khan University, Mardan,  23200, Pakistan

    Rasool Shah

  5. Department of Mathematics, Art and Science Faculty, Siirt University, 56100  , Siirt, Turkey

    Ali Akgül

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  1. Pongsakorn Sunthrayuth
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  2. Aisha Alderremy
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  3. Shaban Aly
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  4. Rasool Shah
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  5. Ali Akgül
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Sunthrayuth, P., Alderremy, A., Aly, S. et al. Exact analysis of electro-osmotic flow of Walters’-B fluid with non-singular kernel. Pramana - J Phys 95, 201 (2021). https://doi.org/10.1007/s12043-021-02224-8

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  • DOI: https://doi.org/10.1007/s12043-021-02224-8

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