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Cilia flow of magnetized Eyring-Powell nanofluid in a vertical thermal channel with viscous dissipation: An application of Adomian decomposition method

F.M. AllehianyMathematics Department, Faculty of Sciences, Umm Al-Qura University, Mecca, Saudi ArabiaArshad RiazDepartment of Mathematics, Division of Science and Technology, University of Education, Lahore 54770, PakistanWAFA F. ALFWZANDepartment of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman, University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaSobia ShaheenDepartment of Mathematics, Division of Science and Technology, University of Education, Lahore 54770, PakistanTaseer MuhammadDepartment of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia
2024en
ABI

Abstract

In this study, authors explore how magnetic fields and the buoyancy force resulting from temperature differences work together. The study is focusing at how an Eyring-Powell nanofluid behaves in a ciliated channel when both natural convection and magnetic effects are at play. A technique called the symplectic metachoronal wave has been used to analyze this analysis. A physical assumption of small Reynolds number is considered to simplify the equations describing the flow rate of the Eyring-Powell nanofluid, making it easier to understand. To get a closed form solution, we have incorporated Adomian decomposition method (ADM). It has been observed that the flow is sped up by 10% with increase in the Eyring-Powell fluid parameter M. The quantity of heat transfer increases with increasing values of the Hartmann, Eyring-Powell fluid parameters, and Brinkmann numbers. This study has implications for bio-inspired engineering, medical applications, and the design of microfluidic devices.

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