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Electro-osmotic particulate flow of non-Newtonian fluid in a bulged out cavity with lubrication: electro-osmotic dewatering approach

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Abstract

An electro-osmotic particulate flow is presented in this article. Fluid-particle interaction is simulated in bulged out cavity at the center. Casson non-Newtonian fluid model serves as the base liquid, while spherical & homogenous metallic particles are used to form a granular suspension. Particulate flow is modeled by using Navier–Stokes equations which assist to trace the motion of the particles, as well. The electric potential within this volume is governed by “The Poisson equation”. Moreover, the local charge density may be related to the electric potential through the “Boltzmann distribution”. In addition to this, lubrication effects are applied to take care of the skin friction of the walls. The main objective of this study is to highlight the application of electro-osmosis, such as biophysics, geomechanics, medicine, microchips, and oil and gas production. Since, electro-osmotic flow arises from the formation of an electrical double layer at solid–liquid interface. Therefore, this is a significant phenomenon in chemical separation techniques; in particular, to expedite the fluid flow in oil rigs and clay-rich soils in petroleum industries. The application of electricity stimulates the fluid to flow out of the pores of the soil, due to the ions with a positive charge.

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Acknowledgement

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through research groups program under Grant No. R.G.P2/115/44.

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Authors and Affiliations

  1. Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia

    Faisal Z. Duraihem

  2. Department of Mathematics, Institute of Arts and Sciences, Government College University Faisalabad Chiniot Campus, Chiniot, 35400, Pakistan

    Mubbashar Nazeer

  3. Department of Mathematical Sciences (FBAS) BUITEMS, Quetta, 87300, Pakistan

    Farooq Hussain

  4. Department of Mathematics, College of Science, King Khalid University, Abha, 61413, Saudi Arabia

    S. Saleem

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  1. Faisal Z. Duraihem
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  2. Mubbashar Nazeer
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  4. S. Saleem
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Correspondence to Mubbashar Nazeer.

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Duraihem, F.Z., Nazeer, M., Hussain, F. et al. Electro-osmotic particulate flow of non-Newtonian fluid in a bulged out cavity with lubrication: electro-osmotic dewatering approach. Comp. Part. Mech. 10, 1771–1780 (2023). https://doi.org/10.1007/s40571-023-00588-9

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