Impact of Periodic Body Acceleration on Fractional Blood Flow Modeled as a Non-Newtonian Jeffery-Type Fluid in Stenosed Arteries
Main Article Content
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.

Citation Metrics:
Downloads
Article Details

Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
References
Abdulhameed, M., Vieru, D., & Roslan, R. (2017). Modelling electro-magneto-hydrodynamic transport of biofluids with a new trend of fractional derivative without singular kernel. Physica A: Statistical Mechanics and Its Applications.
Abdulhameed, M., Roslan, R., & Mohamad, M. B. (2014). A modified homotopy perturbation transform method for transient flow of a third-grade fluid in a channel with oscillating motion on the upper wall. Journal of Computational Engineering, 2014, Article 102197, 1–11.
Akbar, S., Nadeem, S., & Ali, M. (2011). Jeffrey fluid model for blood flow through a tapered artery with a stenosis. Journal of Mechanics in Medicine and Biology, 11, 529–545.
Mahapatra, T. R., & Pradhan, B. C. (2022). Effects of chemical reactions on nanofluid flows in biological systems. Advances in Fluid Mechanics, 57(3), 178–195.
Singh, R., & Kumar, D. (2023). Heat and mass transfer enhancement in ternary nanofluid flows: Influence of Dufour and Soret effects. Scientific Reports, 11(9).
Zhao, L. F., et al. (2022). Entropy analysis and heat transfer characteristics of Casson nanofluid flow in inclined arteries. Physica A: Statistical Mechanics and Its Applications, 605.
Mondal, A., & Shit, G. C. (2017). Transport of magneto-nanoparticles during electro-osmotic flow in a micro-tube in the presence of magnetic field for drug delivery application. Journal of Magnetism and Magnetic Materials, 442, 319–328.
Anand, M., Aggarwal, S., Raj, H., & Gajjar, D. (2023). CFD analysis of pulsatile non-Newtonian blood flow in a multi-staged stenosed bifurcated carotid artery. J. Mines, Met. Fuels, 71(10), 1601–1611.
Akhtar, S., McCash, L. B., Nadeem, S., Saleem, S., & Issakhov, A. (2021). Mechanics of non-Newtonian blood flow in an artery having multiple stenosis and electroosmotic effects. Science Progress, 104(3), 1–20.
Sankar, D. S., & Lee, U. (2022). Numerical study on pulsatile flow of non-Newtonian fluid through arterial stenosis. Journal of Mechanical Science and Technology, 36(3), 1235–1244.
Chakravarty, S., & Mandal, P. K. (2022). Augmentation of peristaltic microflows through electro-osmotic mechanisms. Journal of Physics D: Applied Physics, 55(12), Article 125401.
Ghasemi, S. E., Hatami, M., Sarokolaie, A. K., & Ganji, D. D. (2022). Study on blood flow containing nanoparticles through porous arteries in presence of magnetic field using analytical methods. Physica E: Low-dimensional Systems and Nanostructures, 135, Article 114984.
Selim, M. M., & Mohamed, E. M. (2023). Heat and mass transfer in peristaltic transport of non-Newtonian fluid through porous medium with slip and magnetic effects. Alexandria Engineering Journal, 69, 631–645.
Rao, K. S., & Kumar, R. S. (2022). Fractional modeling of nanofluid flow through an irregular artery with multiple stenoses. Mathematics, 10(21), Article 4082.
Ijaz, M., Ahmad, H., Rauf, A., & Khan, M. I. (2023). Hemodynamic analysis of non-Newtonian nanofluid flow through arterial stenosis under magnetic field effects. Case Studies in Thermal Engineering, 43, Article 102750.
Farooq, M., Gul, M., & Ali, N. (2023). Comparative study of blood flow in tapered and non-tapered arteries under different non-Newtonian models. Alexandria Engineering Journal, 72, 179–193.
Ullah, I., Khan, I., & Qureshi, M. I. (2022). Dynamics of non-Newtonian blood flow with chemical reaction and heat source/sink in an inclined artery with stenosis. Journal of Thermal Analysis and Calorimetry, 148, 4161–4175.
Sadiq, M. A., & Shah, N. A. (2023). Numerical investigation of hybrid nanofluid in a stenosed artery considering radiative effects. Results in Physics, 47, Article 106322.
Yakubu, D. G., Abdulhameed, M., Adamu, G. T., & Kwami, A. M. (2020). A study of fractional relaxation time derivative on blood flow in arteries with magnetic and thermal radiation effects. Jour. Eng. Fluid Flow and Heat Trans. Analysis, 26, 126–144.
Yakubu, D. G., Abdulhameed, M., Adamu, G. T., Rozaini, R., Alibek, I., Rahimi-Gorji, M., & Bakouri, M. (2021). Towards the exact solution of Burgers’ fluid flow through arteries with fractional time derivative, magnetic field, and thermal radiation effects. Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, 1–10.
Hayat, M., Waqas, S., Shahzad, A., & Alsaedi, A. (2015). MHD stagnation point flow of Jeffrey fluid by a radially stretching surface with viscous dissipation and joule heating. Journal of Hydrology and Hydromechanics, 63, 311–317.
Ionescu, C., Lopes, A., Copot, D., Machado, J. A. T., & Bates, J. H. T. (2017). The role of fractional calculus in modeling biological phenomena: A review. Communications in Nonlinear Science and Numerical Simulation.
Sun, Y., Fan, Y., & Deng, X. (2014). Computational study of pulsatile blood flow in arteries with different degrees of stenosis. Computers in Biology and Medicine, 53, 27–36.
Bertram, C. D., & Macaskill, C. (2011). Phase relationships in oscillatory blood flow: Importance in pulsatile modeling. Journal of Biomechanics, 44(4), 684–691.
Cardinale, M., & Bosco, C. (2003). The use of vibration as an exercise intervention. European Journal of Applied Physiology, 90(3–4), 347–352.
Maloney-Hinds, C., Petrofsky, J. S., & Zimmerman, G. (2008). The effect of 30 Hz vs. 50 Hz passive vibration and duration of vibration on skin blood flow in the arm. Medical Science Monitor, 14(3), CR112–CR116.
Arya, M., et al. (2008). Controlled magnetic nanoparticle delivery using external magnetic fields for targeted therapy. Nanomedicine, 3(6), 667–675.
Magin, R. L. (2010). Fractional calculus in bioengineering. Begell House Publishers.
Tzeng, T. R., & Tsai, C. (2015). Magnetically driven nanoparticles for targeted drug delivery systems. Journal of Biomedical Nanotechnology, 11(10), 1720–1733.
Ibrahim, A., & Ahmed, M. (2021). Mechanically assisted perfusion techniques for vascular therapy: A systematic review. Cardiovascular Therapeutic














