Current issue
Special issue
Archive
About the Journal
About
Editorial Board
Abstract & Indexing
Contact
Funding/Grants
Editorial Policies
Authorship & COI
Ethical principles
Special Issues Editorial and Peer Review Policy
Principles of Transparent Checklist
Open access
For Authors
Instructions to Authors
Review process
Review sheet
How to submit
ORIGINAL PAPER
Mathematical investigation on MHD blood flow through a stenosed artery under variable viscosity and body acceleration
1
Department of mathematics, 1. Government College for Women, Gurawara, Rewari, Haryana, NDIA
2. University Institute of Engineering and Technology, Maharshi Dayanand University, Haryana, INDIA,, India
2
Department of Mathematics, University Institute of Engineering and Technology, Maharshi Dayanand University, Haryana, INDIA,
These authors had equal contribution to this work
Submission date: 2025-09-16
Final revision date: 2025-11-13
Acceptance date: 2026-06-12
Online publication date: 2026-09-02
Corresponding author
Sumit Kumar
Department of mathematics, 1. Government College for Women, Gurawara, Rewari, Haryana, NDIA 2. University Institute of Engineering and Technology, Maharshi Dayanand University, Haryana, INDIA,, India
Department of mathematics, 1. Government College for Women, Gurawara, Rewari, Haryana, NDIA 2. University Institute of Engineering and Technology, Maharshi Dayanand University, Haryana, INDIA,, India
KEYWORDS
TOPICS
ABSTRACT
This study investigated the effect of cylindrical-shaped hybrid nanoparticles on the flow of magnetohydrodynamic blood through a narrowed artery, considering the impact of body acceleration and the variable viscosity of blood, which is temperature-dependent. The mathematical flow equations have been converted into a dimensionless form, and the solution is obtained using the finite difference scheme. Graphs are used to illustrate the influence of controlling flow parameters on various physical properties such as velocity, concentration, temperature, heat transfer coefficient, mass transfer coefficient, flow rate, and wall shear stress. It is observed that the velocity profiles exhibit a pronounced enhancement with increasing values of the parameters solutal Grashof number, Prandtl number, and body acceleration parameter, indicating their direct role in accelerating the flow dynamics. In contrast, the parameters magnetic field and Reynolds number exert a suppressing influence, leading to a noticeable reduction in velocity profile. Furthermore, the temperature profiles rise with increasing concentration of copper nanoparticles, alumina oxide nanoparticles, and hybrid nanoparticles, due to the significant enhancement in effective thermal conductivity. This improved heat transport capacity facilitates greater energy absorption and elevates the overall temperature profile of the blood. Finally, the WSS increases with a rise in the thermal Grashof number, as buoyancy-driven forces strengthen blood motion near the arterial wall. In contrast, an increase in the magnetic field parameter suppresses blood velocity through Lorentz force resistance, thereby reducing wall shear stress. The findings could be valuable insights into blood flow beahviour in the stenosed artery, applied therapeutically within the biomedical sciences.
REFERENCES (35)
1.
Kumar S. and Kumar S. (2022): Blood flow through an elliptical stenosed artery with the heat source and chemical reaction.– Research Journal of Biotechnology, vol.17, No.12, pp.82-90, DOI: 10.36783/rjb.v17i12.355.
2.
Kumar S. and Kumar S. (2023): Blood flow with heat transfer through different geometries of stenotic arteries.– Trends in Sciences, vol.20, No.11, pp.6965, DOI: 10.48048/tis.2023.6965.
3.
Ponalagusamy R. and Manchi R. (2020): A study on two-layered (KL-Newtonian) model of blood flow in an artery with six types of mild stenoses.– Applied Mathematics and Computation, vol.367, pp.124767, DOI: 10.1016/j.jappmathcomp.2019.124767.
4.
Sharma B.K., Kumawat C. and Vafai K. (2022): Computational biomedical simulations of hybrid nanoparticles (Au-Al¬2O3/blood-mediated) transport in a stenosed and aneurysmal curved artery with heat and mass transfer: Hematocrit dependent viscosity approach.– Chemical Physics Letters, vol.800, pp.139666, DOI: 10.1016/j.cplett.2022.139666.
5.
Choi S.U. and Eastman J.A. (1995): Enhancing Thermal Conductivity of Fluids with Nanoparticles (No. ANL/MSD/CP-84938; CONF-951135-29).– Argonne National Lab. (ANL), Argonne, IL (United States), DOI: 10.2172/166588.
6.
Algehyne E.A., Ahammad N.A., Elnair M.E., Zidan M., Alhusayni Y.Y., El-Bashir B.O., Saeed A., Alshomrani A.S. and Alzahrani F. (2023): Entropy optimization and response surface methodology of blood hybrid nanofluid flow through composite stenosis artery with magnetized nanoparticles (Au-Ta) for drug delivery application.– Scientific Reports, vol.13, pp.1-21, DOI: 10.1038/s41598-023-38012-7.
7.
Bacha H.B., Ullah N., Hamid A. and Shah N.A. (2024): A comprehensive review on nanofluids: Synthesis, cutting-edge applications, and future prospects.– International Journal of Thermofluids, vol.22, pp.100595, DOI: 10.1016/j.ijft.2024.100595.
8.
Gandhi R. and Sharma B.K. (2022): Unsteady MHD Hybrid Nanoparticle (Au- Al¬2O3/Blood) Mediated Blood Flow Through a Vertical Irregular Stenosed Artery: Drug Delivery Applications.– In Nonlinear Dynamics and Applications: Proceedings of the ICNDA 2022, Cham: Springer International Publishing, pp.325-337, DOI: 10.1007/978-3-030-99792-2_28.
9.
Sharma B.K., Khanduri U., Gandhi R. and Muhammad T. (2024): Entropy generation analysis of a ternary hybrid nanofluid (Au-CuO-GO/blood) containing gyrotactic microorganisms in bifurcated artery.– International Journal of Numerical Methods for Heat and Fluid Flow, vol.34, No.2, pp.980-1020, DOI: 10.1108/HFF-07-2023-0402.
10.
Sharma P., Sharma B.K., Mishra N.K., Almohsen B. and Bhatti M.M. (2024): Electroosmotic microchannel flow of blood conveying copper and cupric nanoparticles: Ciliary motion experiencing entropy generation using backpropagated networks.– ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, vol.104, No.5, pp.e202300442, DOI: 10.1002/zamm.202300442.
11.
Manchi R. and Ponalagusamy R. (2021): Modeling of pulsatile EMHD flow of Au-blood in an inclined porous tapered atherosclerotic vessel under periodic body acceleration.– Archive of Applied Mechanics, vol.91, No.7, pp.3421-3447, DOI: 10.1007/s00419-021-01977-w.
12.
Poonam and Sharma B.K. (2022): Mathematical Analysis of Hybrid Nanoparticles (Au- Al¬2O3) on MHD Blood Flow Through a Curved Artery with Stenosis and Aneurysm Using Hematocrit-Dependent Viscosity.– In Nonlinear Dynamics and Applications: Proceedings of the ICNDA 2022, Cham: Springer International Publishing, pp.407-419, DOI: 10.1007/978-3-031-13123-3_37.
13.
Tripathi J., Vasu B., Bég O.A. and Gorla R.S.R. (2021): Unsteady hybrid nanoparticle-mediated magneto-hemodynamics and heat transfer through an overlapped stenotic artery: Biomedical drug delivery simulation.– Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, vol.235, No.10, pp.1175-1196, DOI: 10.1177/09544119211027110.
14.
Zaman A., Ali N. and Khan A.A. (2020): Computational biomedical simulations of hybrid nanoparticles on unsteady blood hemodynamics in a stenotic artery.– Mathematics and Computers in Simulation, vol.169, pp.117-132, DOI: 10.1016/j.matcom.2019.09.006.
15.
Ahmed B., Ashraf A. and Anwar F. (2023): Inertial considerations in peristaltically activated MHD blood flow model in an asymmetric channel using Galerkin finite element simulation for moderate Reynolds number.– Alexandria Engineering Journal, vol.75, pp.495-512, DOI: 10.1016/j.aej.2023.05.068.
16.
Vinita., Kumar P. and Poply V. (2023): Mathematical modelling of magnetohydrodynamic nanofluid flow with chemically reactive species and outer velocity towards stretching cylinder.– Journal of Nanofluids, vol.12, No.4, pp.1067-1073, DOI: 10.1166/jon.2023.1979.
17.
Makkar V., Poply V. and Sharma N. (2023): Three dimensional modelling of magnetohydrodynamic bio-convective Casson nanofluid flow with buoyancy effects over exponential stretching sheet along with heat source and gyrotactic micro-organisms.– Journal of Nanofluids, vol.12, No.2, pp.535-547, DOI: 10.1166/jon.2023.1932.
18.
Makkar V., Poply V., Goyal R. and Sharma N. (2021): Numerical investigation of MHD Casson nanofluid flow towards a non linear stretching sheet in presence of double-diffusive effects along with viscous and ohmic dissipation.– Journal of Thermal Engineering, vol.7, No.2, pp.1-17, DOI: 10.18186/thermal.882956.
19.
Manisha R. and Kumar S. (2022): Visco-elastic fluid model in an inclined porous stenosed artery with slip effect and body acceleration.– International Journal of Applied Mechanics and Engineering, vol.27, No.4, pp.82-104, DOI: 10.2478/ijame-2022-0052.
20.
Sharma M., Gaur R.K. and Sharma B.K. (2019): Radiation effect on MHD blood flow through a tapered porous stenosed artery with thermal and mass diffusion.– International Journal of Applied Mechanics and Engineering, vol.24, No.2, pp.411-423, DOI: 10.2478/ijame-2019-0026.
21.
Zaman A., Ali N. and Sajid M. (2017): Numerical simulation of pulsatile flow of blood in a porous-saturated overlapping stenosed artery.– Mathematics and Computers in Simulation, vol.134, pp.1-16, DOI: 10.1016/j.matcom.2016.09.008.
22.
Mishra N.K., Sharma P., Sharma B.K., Almohsen B. and Pérez L.M. (2024): Electroosmotic MHD ternary hybrid Jeffery nanofluid flow through a ciliated vertical channel with gyrotactic microorganisms: Entropy generation optimization.– Heliyon, vol.10, No.3, DOI: 10.1016/j.heliyon.2024.e25102.
23.
Kumar S. and Kumar S. (2025): A study of gold nanoparticle blood flow in stenotic arteries with Arrhenius energy and variable viscosity.– Research Journal of Biotechnology, vol.20, No.12, pp.228-240, DOI: 10.36783/rjb.v20i12.981.
24.
Zigta B. (2020): Effect of thermal radiation and chemical reaction on MHD flow of blood in stretching permeable vessel.– International Journal of Applied Mechanics and Engineering, vol.25, No.3, pp.198-211, DOI: 10.2478/ijame-2020-0043.
25.
Tripathi B. and Sharma B.K. (2018): Effect of variable viscosity on MHD inclined arterial blood flow with chemical reaction.– International Journal of Applied Mechanics and Engineering, vol.23, No.3, pp.767-785, DOI: 10.2478/ijame-2018-0042.
26.
Nandal J., Kumari S. and Rathee R. (2019): The effect of slip velocity on unsteady peristalsis MHD blood flow through a constricted artery experiencing body acceleration.– International Journal of Applied Mechanics and Engineering, vol.24, No.3, pp.645-659, DOI: 10.2478/ijame-2019-0040.
27.
Sudha T., Umadevi C., Dhange M., Manna S. and Misra J.C. (2021): Effects of stenosis and dilatation on flow of blood mixed with suspended nanoparticles: A study using homotopy technique.– International Journal of Applied Mechanics and Engineering, vol.26, No.1, pp.251-265, DOI: 10.2478/ijame-2021-0015.
28.
Kumawat C., Sharma B.K., Muhammad T. and Ali L. (2024): Computer simulation of two phase power-law nanofluid of blood flow through a curved overlapping stenosed artery with induced magnetic field: Entropy generation optimization.– International Journal of Numerical Methods for Heat and Fluid Flow, vol.34, No.2, pp.741-772, DOI: 10.1108/HFF-07-2023-0391.
29.
Hoffmann K.A. and Chiang S.T. (2000): Computational Fluid Dynamics (vol.I).– Wichita, Engineering Education System.
30.
Devi S.A. and Devi S.S.U. (2016): Numerical investigation of hydromagnetic hybrid Cu- Al¬2O3/water nanofluid flow over a permeable stretching sheet with suction.– International Journal of Nonlinear Sciences and Numerical Simulation, vol.17, No.5, pp.249-257, DOI: 10.1515/ijnsns-2016-0004.
31.
Gandhi R., Sharma B.K., Kumawat C. and Beg O.A. (2022): Modeling and analysis of magnetic hybrid nanoparticle (Au- Al¬2O3/blood) based drug delivery through a bell-shaped occluded artery with joule heating, viscous dissipation and variable viscosity effects.– Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, vol.236, No.5, pp.2024-2043, DOI: 10.1177/09544089221088463.
32.
Kumawat C., Sharma B.K., Al-Mdallal Q.M. and Rahimi-Gorji M. (2022): Entropy generation for MHD two phase blood flow through a curved permeable artery having variable viscosity with heat and mass transfer.– International Communications in Heat and Mass Transfer, vol.133, pp.105954, DOI: 10.1016/j.icheatmasstransfer.2022.105954.
33.
Sharma B.K. and Kumawat C. (2021): Impact of temperature dependent viscosity and thermal conductivity on MHD blood flow through a stretching surface with ohmic effect and chemical reaction.– Nonlinear Engineering, vol.10, No.1, pp.255-271, DOI: 10.1515/nleng-2021-0020.
34.
Sharma B.K., Gandhi R. and Bhatti M.M. (2022): Entropy analysis of thermally radiating MHD slip flow of hybrid nanoparticles (Au- Al¬2O3/Blood) through a tapered multi-stenosed artery.– Chemical Physics Letters, vol.790, pp.139348, DOI: 10.1016/j.cplett.2022.139348.
35.
Tanveer A., Ashraf M.B. and Masood M. (2024): Entropy analysis of peristaltic flow over curved channel under the impact of MHD and convective conditions.– Numerical Heat Transfer, Part B: Fundamentals, vol.85, No.1, pp.45-57, DOI: 10.1080/10407790.2023.2205510.
Share
RELATED ARTICLE
| eISSN: | 2353-9003 |
| ISSN: | 1734-4492 |
We process personal data collected when visiting the website. The function of obtaining information about users and their behavior is carried out by voluntarily entered information in forms and saving cookies in end devices. Data, including cookies, are used to provide services, improve the user experience and to analyze the traffic in accordance with the Privacy policy. Data are also collected and processed by Google Analytics tool (more).
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
