Eur. Phys. J. Plus (2022) 137:585 https://doi.org/10.1140/epjp/s13360-022-02783-8 Regular Article Electroosmotic impacts on hybrid antimicrobial blood stream through catheterized stenotic aneurysmal artery Obaid Ullah Mehmood 1,a , Sehrish Bibi 1 , Ahmad Zeeshan 2 , Muhammad Muddassar Maskeen 2,3 , Faris Alzahrani 4 1 Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt 47040, Pakistan 2 Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad 44000, Pakistan 3 Department of Related Studies, Govt College of Technology, Hattar Road, Taxila 47080, Pakistan 4 Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia Received: 4 December 2021 / Accepted: 24 April 2022 © The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022 Abstract The current examination hypothetically explores physical characteristics of electro-magneto-hydrodynamics of circulation system under the sight of electroosmotic forces on concentrically catheterized diseased arterial segment having both stenosis and aneurysm along its boundaries. A hybrid fractional second-grade nanofluid model is under consideration. The governing laws are tackled precisely, and closed-form arrangements are gotten for the instances of mild stenosis and aneurysm. Exact articulations for heat transfer, electroosmotic potential, hemodynamic velocity, arterial wall shear stress, and catheter wall shear stress are acquired. Graphical portrayals for the impact of significant parameters on flow characteristics have been devised and talked about. It has been concluded that heat flow and hemodynamic velocity increase for spherical-shaped nanoparticles as compared to the other shapes of nanoparticles. Hemodynamic velocity in the stenotic segment is much lower than that of the aneurysmal segment. Our results show that the flow rate among both abnormal segments of the artery increases in the presence of a catheter and there is more magnitude of the wall shear stress on the catheter wall. Instantaneous streamlines patterns are used to investigate the global conduct of blood. The current study intends to be used in medical regimes for drug delivery and biomedicine. 1 Introduction The study of blood circulation across stenotic and aneurysmal arteries is of present importance, owing to medical science’s ever- increasing demands. Atherosclerosis is an arterial disease that can cause large blood vessels to become blocked, resulting in death and severe morbidity. Arterial stenosis is a tightening of the arteries brought about by atherosclerosis, a disease in which plaque consisting of cholesterol, fats, and other different materials develops on the blood vessel walls. Stenosis produces an increase in blood pressure by increasing blood flow resistance. The aneurysm is the extension of an artery achieved by delicacy in the blood vessel wall. Because of the improvement of aneurysms, blood flow into veins becomes more difficult. Several studies have been conducted based on the causes aforementioned. Chaturani and Samy [1] considered a non-Newtonian blood flow through a diseased artery by considering the Herschel–Bulkley fluid model in their study. Mehmood et al. [2] presented the mathematical modeling and numerical simulations of an unsteady axisymmetric blood flow through a porous diseased arterial segment with elastic walls. However, Gallo et al. [3] pointed out that using a combination of in vivo imaging and in silico approaches to compute the hemodynamic variables necessitates some assumptions. The way BCs are used to construct tailored research, in particular, may have an impact on the expected hemodynamic situation. Pincombe and Mazumdar [4] have studied non-Newtonian bloodstream through supply routes containing aneurysms and stenosis for the Bingham liquid blood model. Flow is considered as a result of both tightening influences and aneurysms. To explore hemodynamics on such a patient-specific approach in both diseased and healthy subject, in vivo measurements have been integrated by Morbiducci et al. [5] with computational fluid dynamics to offer accurate morphological features and noninvasive assessment of blood flow. Nadeem and Ijaz [6] investigated the viscous blood flow through diseased inclined arteries having both stenosis and dilatation. The impacts of various sources of uncertainty in idealized models of outlet boundary conditions upon pressure waveforms and wall shear stress throughout thoracic aortic aneurysms have been addressed by Boccadifuoco et al. [7]. The reconfiguration of the domain geometry, the selection of the mechanical characteristics of the artery wall, and the application of appropriate inlet/outlet boundary conditions are the most significant uncertainties. Ellahi et al. [8] conducted the study on numerical methods for Jeffrey liquid model through nanoparticles within the diseased atherosclerotic segment. Furthermore, the convection effects of heat exchange are taken under consideration. a e-mail: obaid.mahmood@yahoo.com (corresponding author) 0123456789().: V,-vol 123