Magnetohydrodynamic Non Newtonian Oscillatory Flows in Asymmetric wavy Channel

Abstract

This thesis investigates the nonlinear dynamics of magnetohydrodynamic (MHD) newlineoscillatory flows of non-Newtonian fluids in asymmetric wavy channels, addressing newlinesignificant gaps in the existing literature on complex fluid behaviors in industrial and newlinebiomedical contexts. The study explores a range of non-Newtonian fluids, including newlineviscoelastic, Casson, micropolar and Jeffrey fluids, to understand how these fluids respond newlineto external conditions such as magnetic fields, thermal radiation, chemical reaction and newlineslip effect within asymmetric geometries. This work is motivated by the necessity to newlinecharacterize fluid flows that occur in real-world applications, from polymer processing newlineto cardiovascular modeling, where complex flow patterns are impacted by variable newlinegeometries, temperature-dependent viscosity and diverse external forces. newlineEach chapter systematically builds upon previous findings to examine critical factors newlineinfluencing MHD flows. Chapter 2 examines thermo-diffusion and diffusion-thermo effect newlineon the oscillatory flow of a viscoelastic fluid under unsteady conditions, incorporating newlineexternal factors like magnetic fields and chemical reaction to analyze their combined newlineinfluence on heat and mass transfer rates. In Chapter 3, the focus shifts to temperaturedependent newlineviscosity and viscoelasticity in oscillatory flows through permeable media, a newlinetopic relevant to filtration systems and packed bed reactors. By applying a nonlinear newlineviscosity model and both numerical and semi-analytical methods, this study elucidates newlinedual solution behaviors within oscillatory flows under the effect of thermal radiation and newlinesuction/injection newline