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Electro-Osmotic Flow of Prandtl Nanofluids with Thermal and Solutal Slip Flow Constraints: Keller Box Simulations

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Abstract

The numerical simulations are performed to investigate the electro-osmotic peristaltic flow of Prandtl fluid in the presence of tiny particles in a planner channel. The analysis is performed in the presence of slip effects, magnetic force and Joule heating. The governing nonlinear boundary value problem along with nonlinear boundary conditions is solved numerically using Keller Box method as well as numerical shooting technique by using the MATLAB tool. The solution validity is also ensured by computing the solution with BVP4C solver. The results claimed from analysis convey that concentration profile declined with concentration slip while an increasing trend for concentration has been noted for Soret number. The presence of slip factor reduces the magnitude of skin friction coefficient. With increasing the Grashof number and in the presence of electric forces, the temperature profile reduces. The Nusselt number increases with electro-osmotic parameter while reverse observations are predicted for Sherwood number.

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Acknowledgements

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University, Abha, Saudi Arabia for funding this work through research groups program under grant number R.G.P-1/178/42.

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Authors and Affiliations

  1. Department of Mathematics, University of Azad Jammu and Kashmir Muzaffarabad, Muzaffarabad, 13100, Pakistan

    A. Abbasi & Waseh Farooq

  2. Department of Mathematics and Statistics, University of Science and Technology, P.O. Box 3030, Irbid, 22110, Jordan

    Kamel Al-Khaled

  3. Department of Mathematics and Statistics, Riphah International University, I-14, Islamabad, 44000, Pakistan

    M. Ijaz Khan & Shahid Farooq

  4. Department of Mathematics, COMSATS University Islamabad, Sahiwal, 57000, Pakistan

    Sami Ullah Khan

  5. Department of Information Technology, Fanshawe College London, London, ON, Canada

    F. Mabood

  6. Department of Mathematics, College of Sciences, King Khalid University, Abha, 61413, Saudi Arabia

    Taseer Muhammad

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  1. A. Abbasi
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Correspondence to Shahid Farooq.

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Abbasi, A., Al-Khaled, K., Khan, M.I. et al. Electro-Osmotic Flow of Prandtl Nanofluids with Thermal and Solutal Slip Flow Constraints: Keller Box Simulations. Arab J Sci Eng 47, 8439–8456 (2022). https://doi.org/10.1007/s13369-021-06215-0

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