Numerical Computation Of Sisko Nanofluid Flow In Diverse Geometries Filled With Porous Media

Abstract

Fluid dynamics plays a crucial role in the diverseness of highly-developed technological appli cations, especially in systems involving non-Newtonian fluids. This dissertation presents six distinct mathematical models to explore the evolution of Sisko nanofluid flow across distinct physical scenarios, focusing on thermal and solutal transmission, bioconvection, and magneto hydrodynamic (MHD) effects in porous media. Advanced modeling techniques are employed to analyze the influence of factors such as Hall current, ion-slip, electro-osmotic forces, viscous dissipation, and thermal radiation on nanofluid behavior. The study examines Sisko nanofluid f low in geometries such as stretching sheets, porous cylinders, plates, and vertical cones. The partial differential equations are converted into nonlinear ODEs through similarity mathematical function, and the model solutions are derived via numerical modeling by Runge-Kutta-Fehlberg approach coupled with the shooting method. Graphical analysis of velocity and temperature profiles highlights their variation with physical parameters, while concentration and microorganism density profiles are explored in models incorporating chemical reactions and bioconvection. Additionally, variations in the skin friction, thermal transmission and species trans fer coefficient are displayed in tabular and graphical form, offering clear visual comparisons. The models are validated against existing literature, demonstrating robustness, accuracy, and enhancing the comprehension of nanofluid behavior. The findings present crucial observations into optimizing heat transmission processes and advancing thermal management in applications such as renewable energy systems, cooling technologies, and environmental management.