Casson Nanofluid Flow Through Tissue Incorporating an Inclined Cylindrical Lymphatic Vessel | ||
| Assiut University Journal of Multidisciplinary Scientific Research | ||
| Volume 53, Issue 3, September 2024, Pages 385-412 PDF (1.23 M) | ||
| Document Type: Novel Research Articles | ||
| DOI: 10.21608/aunj.2024.293060.1081 | ||
| Authors | ||
| Nora Fattah Ahmed* ; Mohamed Ahmed Mansour; Fouad Sayed Ibrahim; Ahmed Mustafa Ismaeel | ||
| 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. | ||
| Keywords | ||
| Lymphatic vessels; mass and heat transport; Casson nanofluid; mixed convection; similarity transformations | ||
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