Overlapping grid spectral collocation methods for solving unsteady MHD nanofluid flow over stretching surfaces.

Abstract

This study comprehensively explores diverse magneto-hydrodynamic (MHD) nanofluid flow phenomena over various stretching surfaces with distinctive physical and mathematical attributes. Firstly, we investigated the entropy generation of an unsteady MHD nanofluid flow over a porous inclined stretching surface, incorporating velocity slip and viscous dissipation. Then, the solution methodology utilizing spectral quasilinearization method (SQLM) on overlapping grids for analyzing electromagnetic MHD tangent hyperbolic nanofluid flow over an inclined stretchable Riga surface was considered. This study considers the Dufour effect, activation energy, and heat generation, enriching the understanding of complex fluid dynamics. Next, we explored the unsteady squeezing flow and heat transport involving silicon SiO2/kerosene oil nanofluid around radially stretchable parallel rotating disks. Particularly, the upper disk oscillates, adding an extra layer of dynamism to the system that develops a negative pressure situation, which has vast applications in modern-day engineering and medical sciences. Moving on, we employed the bivariate simple iteration method on overlapping grids to analyze unsteady ternary hybrid nanofluid flow with a magnetic dipole over an oscillatory stretching surface. This investigation offers insights into the intricate interplay of magnetic effects and oscillatory stretching, contributing to the broader field of magnetohydrodynamics. Lastly, the thesis explores the numerical analysis of unsteady Casson ternary hybrid nanofluid flow over a bidirectionally stretching sheet. This study incorporates motile gyrotactic microorganisms and nanoparticle shape factors. This collective body of work contributes to the fundamental understanding of nanofluid dynamics and showcases the versatility of numerical methods in solving complex fluid flow problems across diverse geometries. The findings presented in this thesis pave the way for future advancements in nanofluid research and hold significant implications for various engineering applications. Overall, the inclusion of overlapping grids in the regular SQLM, BSIM and BSQLM greatly improve their performances in terms of accuracy, computational efficiency, robustness, and ability to effectively tackle complex fluid flow problems.