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All Journal Journal of Multidisciplinary Science: MIKAILALSYS Mikailalsys Journal of Advanced Engineering International
Ismail, Habujika Abdulhadi
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Agriculture, Biological Sciences & Forestry Chemical Engineering, Chemistry & Bioengineering Computer Science & IT Electrical & Electronics Engineering Engineering Environmental Science Mechanical Engineering Physics Social Sciences Other

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Investigating the Influence of Radiation Pressure on the Stability of Lagrangian Points in Celestial Mechanics Aliyu, Shehu Adamu; Ismail, Habujika Abdulhadi
Journal of Multidisciplinary Science: MIKAILALSYS Vol 4 No 1 (2026): Journal of Multidisciplinary Science: MIKAILALSYS
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mikailalsys.v4i1.8179

Abstract

Lagrangian points represent critical equilibrium configurations in celestial mechanics where gravitational and centrifugal forces balance, enabling small bodies to maintain relative positions with respect to two primary masses. This study investigates the location and stability of these points under the influence of radiative forces, with a particular focus on the role of radiation pressure in modifying gravitational equilibrium. Using a mathematical modeling approach, the research derives expressions for the collinear and triangular Lagrangian points and examines how radiation pressure affects their equilibrium configurations. The analysis shows that the positions of the collinear points shift as a function of the radiation parameter, while the stability characteristics of the triangular points are governed by the mass ratio of the system. These findings refine the theoretical understanding of Lagrangian dynamics in radiating systems and highlight the sensitivity of equilibrium configurations to radiative effects. The study concludes that incorporating radiation pressure is essential for accurately characterizing gravitational equilibrium in realistic astrophysical and space mission scenarios, thereby providing a more robust foundation for celestial navigation, satellite deployment, and space mission design, and contributing to a deeper understanding of orbital mechanics relevant to future space exploration missions.
Impact of Periodic Body Acceleration on Fractional Blood Flow Modeled as a Non-Newtonian Jeffery-Type Fluid in Stenosed Arteries Aliyu, Shehu Adamu; Ismail, Habujika Abdulhadi
Mikailalsys Journal of Advanced Engineering International Vol 3 No 1 (2026): Mikailalsys Journal of Advanced Engineering International
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjaei.v3i1.8180

Abstract

This study comprehensively explores the impact of hemodynamic parameters on nanoparticle transport and blood flow dynamics in stenosed arteries, with the objective of identifying how these parameters can be manipulated to improve targeted drug delivery and circulatory function in regions affected by vascular constriction. A mathematical model was formulated that incorporates externally induced factors, including baseline blood flow rates, the pulsatile nature of cardiac-induced oscillations, phase angles between these oscillations and the flow, and externally applied periodic body acceleration (PBA). The analysis reveals that increasing baseline blood flow enhances the distribution of oxygen and nutrients throughout the arterial system, highlighting the importance of optimized base flow conditions for maintaining tissue perfusion in stenotic regions. The incorporation of pulsatile flow characteristics that mimic natural heartbeat-induced oscillations leads to improved shear stress distribution along arterial walls, which may help prevent plaque formation and reduce the progression of arterial narrowing. Variations in phase angle, representing the temporal shift between flow oscillations and external stimuli, were shown to influence the synchronization between blood flow and externally applied forces, with consequent effects on hemodynamic efficiency and the timing of flow responses in stenosed vessels. Furthermore, the introduction of PBA substantially increases nanoparticle mobility within the bloodstream, reducing the likelihood of particle stagnation in low-flow regions and enhancing the efficiency of nanoparticle-based drug delivery. Overall, the findings underscore the potential of optimizing fluid dynamic parameters and employing PBA as a non-invasive strategy to augment drug perfusion and support vascular health, providing a theoretical basis for the development of more effective targeted cardiovascular therapies and motivating future translational studies to assess clinical feasibility and therapeutic efficacy.
Co-Authors Aliyu, Shehu Adamu