Developments of Electro-Osmotic Two-Phase Flows of Fourth-Grade Fluid through Convergent and Divergent Channels

Nahid Fatima, Mubbashar Nazeer, Maha M. A. Lashin, M. M. Ghafar, M. R. Gorji () and M. K. Hameed
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Nahid Fatima: Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Mubbashar Nazeer: Department of Mathematics, Institute of Arts and Sciences, Government College University Faisalabad Chiniot Campus, Chiniot 35400, Pakistan
Maha M. A. Lashin: Electrical Engineering Department, College of Engineering, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
M. M. Ghafar: Department of Mathematica, Riphah International University Faisalabad Campus, Faisalabad 38000, Pakistan
M. R. Gorji: Faculty of Medicine and Health Sciences, Ghent University, 9000 Ghent, Belgium
M. K. Hameed: Department of Mathematica, Riphah International University Faisalabad Campus, Faisalabad 38000, Pakistan

Mathematics, 2023, vol. 11, issue 8, 1-18

Abstract: This paper discusses the development of two different bi-phase flows. Fourth-grade fluid exhibiting the non-Newtonian fluid nature is taken as the base liquid. Two-phase suspension is obtained by using the spherically homogeneous metallic particle. Owing to the intense application of mechanical and chemical multiphase flows through curved and bent configurations effectively transforms the flow dynamics of the fluid. Differential equations for electro-osmotically driven fluid are modeled and solved with the help of the regular perturbation method. The obtained theoretical solution is further compared with the ones obtained by using two different numerical techniques and found to be in full agreement.

Keywords: fourth-grade fluid; homogeneous; configurations; perturbation method suspension (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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