Abstract
The current study investigates the influence of hybrid nanoparticles (Au & Al\(_2\)O\(_3\)) on blood flow through a vertical artery with irregular stenosis with two-dimensional pulsatile blood flow, an inclined external magnetic field, viscous dissipation, and Joule heating. The blood flow is assumed to be unsteady, laminar, viscous, and incompressible, and the artery walls are considered permeable. The Reynolds temperature-dependent viscosity model is used to determine the variable viscosity effects. The governing momentum and energy equations are solved using Crank–Nicolson finite difference method by employing an appropriate coordinate transformation to build an accurate mesh using rectangular mesh units. Outcomes of the work are represented graphically for non-dimensional velocity, wall shear stress, flow rate, and non-dimensional temperature, respectively. The recent findings could be useful to biological researchers looking into the therapy of different cardiovascular disorders.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Anderson, J.D., Wendt, J.: Computational fluid dynamics, vol. 206. Springer, Berlin (1995)
Basri, A.A., Khader, S.M.A., Johny, C., Pai, R., Zuber, M., Ahmad, K.A., Ahmad, Z.: Numerical study of haemodynamics behaviour in normal and single stenosed renal artery using fluid-structure interaction. J. Adv. Res. Fluid Mech. Therm. Sci. 51(1), 91–98 (2018)
Burton, A.C.: Physiology and biophysics of the circulation. Acad. Med. 40(8), xxx–xxxvi (1965)
Changdar, S., De, S.: Investigation of nanoparticle as a drug carrier suspended in a blood flowing through an inclined multiple stenosed artery. Bionanoscience 8(1), 166–178 (2018)
Chen, C., Yan, J., Zhou, N., Zhao, J., Wang, D.: Analysis of myocardial injury in patients with covid-19 and association between concomitant cardiovascular diseases and severity of covid-19. Zhonghua xin xue guan bing za zhi, pp. 567–571 (2020)
Devi, S.A., Devi, S.S.U.: Numerical investigation of hydromagnetic hybrid cu-al2o3/water nanofluid flow over a permeable stretching sheet with suction. Int. J. Nonlinear Sci. Numer. Simul. 17(5), 249–257 (2016)
Ellahi, R., Raza, M., Vafai, K.: Series solutions of non-newtonian nanofluids with reynolds’ model and vogel’s model by means of the homotopy analysis method. Math. Comput. Modell. 55(7–8), 1876–1891 (2012)
Kumawat, C., Sharma, B., Mekheimer, K.: Mathematical analysis of two-phase blood flow through a stenosed curved artery with hematocrit and temperature dependent viscosity. Phys. Scripta 96(12), 125277 (2021)
Majee, S., Shit, G.: Modeling and simulation of blood flow with magnetic nanoparticles as carrier for targeted drug delivery in the stenosed artery. Europ. J. Mech.-B/Fluids 83, 42–57 (2020)
Mensah, G.A., Roth, G.A., Fuster, V.: The global burden of cardiovascular diseases and risk factors: 2020 and beyond (2019)
Ponalagusamy, R., Manchi, R.: A four-layered model for flow of non-newtonian fluid in an artery with mild stenosis. Sādhanā 44(7), 1–14 (2019)
Ponalagusamy, R., Priyadharshini, S.: Numerical investigation on two-fluid model (micropolar-newtonian) for pulsatile flow of blood in a tapered arterial stenosis with radially variable magnetic field and core fluid viscosity. Comput. Appl. Math. 37(1), 719–743 (2018)
Shahzadi, I., Bilal, S.: A significant role of permeability on blood flow for hybrid nanofluid through bifurcated stenosed artery: drug delivery application. Comput. Methods Programs Biomed. 187, 105248 (2020)
Sharma, B., Gandhi, R., Bhatti, M.: Entropy analysis of thermally radiating mhd slip flow of hybrid nanoparticles (au-al2o3/blood) through a tapered multi-stenosed artery. Chem. Phys. Lett. 139348 (2022)
Sharma, M., Sharma, B.K., Gaur, R., Tripathi, B.: Soret and dufour effects in biomagnetic fluid of blood flow through a tapered porous stenosed artery. J. Nanofluids 8(2), 327–336 (2019)
Smith, G.D., Smith, G.D., Smith, G.D.S.: Numerical solution of partial differential equations: finite difference methods. Oxford University Press, Oxford (1985)
Tripathi, B., Sharma, B.K.: Influence of heat and mass transfer on two-phase blood flow with joule heating and variable viscosity in the presence of variable magnetic field. Int. J. Comput. Methods 17(03), 1850139 (2020)
Tripathi, J., Vasu, B., Bég, O.A., Gorla, R.S.R.: Unsteady hybrid nanoparticle-mediated magneto-hemodynamics and heat transfer through an overlapped stenotic artery: Biomedical drug delivery simulation. Proc. Inst. Mech. Eng. Part H: J. Eng. Med. 09544119211026095 (2021)
Zhang, B., Gu, J., Qian, M., Niu, L., Zhou, H., Ghista, D.: Correlation between quantitative analysis of wall shear stress and intima-media thickness in atherosclerosis development in carotid arteries. Biomed. Eng. Online 16(1), 1–17 (2017)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Gandhi, R., Sharma, B.K. (2022). Unsteady MHD Hybrid Nanoparticle (Au-Al\(_2\)O\(_3\)/Blood) Mediated Blood Flow Through a Vertical Irregular Stenosed Artery: Drug Delivery Applications. In: Banerjee, S., Saha, A. (eds) Nonlinear Dynamics and Applications. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-030-99792-2_28
Download citation
DOI: https://doi.org/10.1007/978-3-030-99792-2_28
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-99791-5
Online ISBN: 978-3-030-99792-2
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)