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Corresponding Author

El Harfouf Amine

Authors ORCID

El Harfouf Amine: https://orcid.org/0000-0002-9836-4923

Document Type

Article

Keywords

Maxwell fluid, Sensor surface, Squeezed flow, Rung-Kutta, Magnetohydrodynamic, Heat and mass transfer

Abstract

This study focuses on the analysis of the magnetohydrodynamic flow of a Maxwell viscoelastic fluid subjected to compression between two parallel plates in the presence of an external magnetic field. Maxwell fluids, belonging to the category of non-Newtonian fluids, are used in numerous applications, including polymer processing, biomedical systems, and industrial fluid transport devices. The main objective is to evaluate the combined influence of the magnetic field and the plate convergence on the flow dynamics, heat transfer mechanisms, and transport characteristics. The mathematical modeling is based on the Navier-Stokes equations coupled with the constitutive relations describing the rheological behavior of the Maxwell fluid. Appropriate similarity transformations are applied to reduce the governing partial differential equations to a system of nonlinear ordinary differential equations. my numerical solution of this system is performed using the 4th-order Runge–Kutta–Fehlberg method, combined with a shot-and-shot technique to ensure stable convergence and satisfactory accuracy of the solutions obtained. my numerical results show that the magnetic field exerts a significant influence on the velocity and temperature distributions within the boundary layer. Increasing the magnetic parameter leads to a decrease in flow velocity due to the Lorentz force, which acts as an electromagnetic resistance mechanism. Furthermore, the compression parameter significantly modifies the momentum and heat transfer mechanisms. Finally, the influence of the main dimensionless parameters on the wall friction coefficient and the heat transfer rate is studied in detail. These findings provide useful insights for applications in microfluidics, lubrication systems, and thermal engineering.

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