الفهرس 
SYMMETRY JOURNAL CITATION REPORTOnly 14 pages are availabe for public view
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Abstract
Chapter one investigates the slow motion of an oscillating solid spherical particle in an incompressible microstructure fluid with micropolar characteristics, focusing on motion perpendicular to a plane wall. By employing Fourier–Bessel transforms and numerical techniques for boundary collocation, the study addresses slip and spin slip conditions on the
particle’s surface, ensuring no-slip and no-spin at the plane wall. The interaction between the oscillating particle and the plane wall is quantified through normalized in-phase and out-of-phase drag force coefficients, with highly accurate collocation solutions tabulated for various parameters. Notably, the frequency parameter significantly influences microstructure fluids, displaying distinct behavior from classical viscous fluids, and plays a crucial role when the particle oscillates near the wall. The study emphasizes the substantial impact of slippage, particularly compared to cases of no slip and no spin slip. This research holds relevance in biomedical and engineering applications, including ultrasonics and microelectromechanical systems, with a specific focus on its importance in atomic force microscope (AFM) devices, especially in scenarios involving microstructure nature, such as micropolar fluids.