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Abstract The exploration of arterial blood flow significantly advances our comprehension of fluid mechanics and its implications for circulatory diseases. Particularly, investigating stenotic geometries within arteries is crucial, as these areas can precipitate fatal heart attacks. Numerous mathematical models and solution techniques have been developed to analyze such blood flow abnormalities, which arise from arterial narrowing, or stenosis, resulting in heightened resistance and disrupting normal blood flow patterns. This dissertation investigates the unsteady motion of incompressible Newtonian nanofluid flow through channel and tube. Specifically, it analyzes the hemodynamic behaviour of blood flow in the presence of arterial stenosis and wavy channel incorporating dilatation and stenosis. Cartesian and cylindrical coordinates are employed for these respective scenarios. The study encompasses blood flow equations, including continuity, momentum, energy, and mass concentration, along with corresponding boundary conditions. These equations are analytically solved using the perturbation method. The solutions depict velocity, streamlines, wall shear stress, pressure gradient, temperature, and concentration distribution within stenosed channels and tubes. Notably, the results are rigorously compared with existing literature to affirm their accuracy and reliability. Pulsatile flow, characterized by periodic variations, is a fundamental concept in fluid dynamics. The cardiovascular system of chordate animals, notably exemplified by the pulsatile flow of blood through arteries, has long captivated researchers due to its significant implications in medical sciences. Under physiological conditions, blood flow within the human circulatory system is reliant on the pumping action of the heart, generating a pressure gradient throughout the arterial network. Beyond the biological realm, pulsatile flow phenomena are also observed in engines and hydraulic systems, stemming from their rotating mechanisms. In the study of blood flow through stenosed arteries, the influence of magnetic fields has emerged as a critical area of investigation in biology and medicine. Application of appropriate magnetic fields offers potential therapeutic benefits for conditions such as headache, travel sickness, and joint pain. Additionally, the human body frequently encounters external magnetic fields, presenting opportunities for innovative medical interventions. Magnetic resonance imaging (MRI) exemplifies the practical application of externally applied magnetic fields in investigating various bio flow problems, underscoring its importance in medical diagnostics and research endeavours. The heat and mass transfer in stenosed arteries profoundly influence blood flow dynamics and have paramount importance in biomedical applications. Understanding these phenomena is crucial for designing effective therapeutic interventions and medical devices. Additionally, the presence of stenosis alters the flow patterns and temperature distribution within arteries, necessitating accurate modeling and simulation techniques. Furthermore, this study investigates entropy generation associated with energy dissipation during the heating process within this intricate flow system, providing valuable insights into thermodynamic principles in biomedical contexts. The utilization of nanofluids in stenosed arteries for blood flow presents a promising avenue in biomedical engineering. These bio-nanofluids possess unique properties that make them highly suitable for therapeutic applications. The concentration and shape of nanoparticles play a pivotal role in enhancing the heat transfer process and thermal conductivity of these fluids. Specifically, in the context of tumor treatment, nanofluids offer improved efficiency in delivering heat to targeted areas. Additionally, investigations into the mechanisms governing heat transfer within these bio-nanofluid systems contribute to the development of innovative approaches for disease management and medical interventions. The existence of slip and no-slip conditions at the porous walls of stenosed arteries in blood nanofluid flow, influenced by varying degrees of wall roughness, has been extensively investigated. These phenomena play a crucial role in understanding the dynamics of blood flow within constricted arteries and are essential for accurate modelling and prediction of fluid behaviour in biomedical applications. Furthermore, the incorporation of slip conditions into mathematical models enhances their accuracy and applicability in simulating real-world scenarios, contributing to advancements in biomedical engineering and healthcare technologies. |