Casson Nanofluid Flow Through Tissue Incorporating an Inclined Cylindrical Lymphatic Vessel

Document Type : Novel Research Articles

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Mathematics department, faculty of science, Assuit University

Abstract

This theoretical study aims to explore the dynamics of a Casson nanofluid flowing through a biological tissue under the influence of a magnetic field, in the presence of an inclined, circular, cylindrical lymphatic vessel. The governing partial differential equations and their boundary conditions are transformed into a set of non-linear ordinary differential equations using appropriate similarity transformations. The problem is solved using the bvp4c function in MATLAB software, and the numerical results are presented graphically. The research investigates and visually depicts the impact of various parameters on the velocity of the nanofluid, its temperature, and the concentration of nanoparticles. These parameters encompass the magnetic field, porous medium, inclination angle, thermophoresis, thermal Grashof number, Eckert number, mass Grashof number, Casson parameter, and the curvature parameter. The study concludes that an increase in the value of the Casson parameter significantly elevates the NP concentration while concurrently reducing the temperature of the nanofluid.

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Assiut University Journal of Multidisciplinary Scientific Research
Volume 53, Issue 3
September 2024
Pages 385-412

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