Blood Flow with Heat Transfer through Different Geometries of Stenotic Arteries

Authors

  • Sumit Kumar Government College for Women, Gurawara, Rewari, India
  • Surendra Kumar University Institute Engineering and Technology, Maharshi Dayanad University, Rohtak, India

DOI:

https://doi.org/10.48048/tis.2023.6965

Keywords:

Heat transfer, Symmetrical stenosis artery, Elliptical stenosis artery, Bell-shaped stenosis artery, Oscillatory blood flow, Triangular stenosis artery

Abstract

The current study evaluates blood flow patterns in symmetrical, elliptical, trapezoidal, triangular, cosine-shaped and bell-shaped stenosed arteries with heat transfer. The ordinary differential equations obtained from the transformation applicable to the controlling partial differential equations. The system of ordinary differential equations has been solved using analytical methods of variation of parameters with the help of software. The MATLAB code graphically demonstrates various profiles and analyses the impact of the Prandtl number, magnetic field, Darcy number and Radiation number on velocity, wall shear stress, temperature and volumetric flow rate. The preponderance of blood flow problems is caused by stenosis between z = 1 and z = 2 locations for symmetrical, elliptical, trapezoidal, triangular, cosine-shaped and bell-shaped stenosis. The originality of the present study is the simultaneous influence of varied stenosis geometries on heat transfer. The main observation of blood velocity is that it is also greater for bell-shaped artery walls in the presence of a magnetic field than for trapezoidal artery walls between z = 1 and z = 2 and all other geometries in between. It may help to understand the blood flow in stenosed blood arteries caused by cardiovascular disease.

HIGHLIGHTS

  • The current study evaluates blood flow patterns in symmetrical, elliptical, trapezoidal, triangular, cosine-shaped and bell-shaped stenosed arteries with heat transfer
  • The effect of magnetic field and Darcy number on a diseased segment of an artery is examined
  • Due to the presence of hemoglobin in RBCs, which contains iron oxide particles and is capable of binding oxygen molecules, the blood is greatly impacted by the magnetic field

GRAPHICAL ABSTRACT

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References

ID Munir, NA Jaafar and S Shafie. Analysis of unsteady solute dispersion in a blood flow of Herschel-Bulkley through a catheterized stenosed artery. Mal. J. Fund. Appl. Sci. 2022; 18, 430-47.

J Tsetimi and E Mamadu. Numerical study of two dimensional steady incompressible Newtonian laminar flow of blood through constricted artery. Eur. J. Pure Appl. Math. 2022; 15, 314-27.

MAEKot and YA Elmaboud. Unsteady pulsatile fractional Maxwell viscoelastic blood flow with Cattaneo heat flux through a vertical stenosed artery with body acceleration. J. Therm. Anal. Calorim. 2021; 147, 4355-68.

Manisha and S Kumar. Effect of cosine shape stenosis on non-Newtonian blood flow with Casson model in stenosed artery. Int. J. Eng. Trends Tech. 2022; 70, 336-46.

MK Sharma, PR Sharma and V Nasha. Pulsatile blood flow through stenosed artery with axial translation. Int. J. Biomath. 2015; 8, 1550028.

MK Sharma, PR Sharma and V Nasha. Pulsatile MHD arterial blood flow in the presence of double stenoses. J. Appl. Fluid Mech. 2013; 6, 331-8.

MA Kabir, MF Alam and MA Uddin. Numerical simulation of pulsatile blood flow: A study with normal artery, and arteries with single and multiple stenosis. J. Eng. Appl. Sci. 2021; 68, 24.

B Tripathi and BK Sharma. Effect of variable viscosity on MHD inclined arterial blood flow with chemical reaction. Int. J. Appl. Mech. Eng. 2018; 23, 767-85.

KW Bunonyo, C Israel-Cooley and E Amos. Modeling of blood flow through stenosed artery with heat in the presence of magnetic field. Asian Res. J. Math. 2018; 8, 37767.

SNAMZ Abidin, NA Jaafar and Z Ismail. Exact analysis of unsteady convective diffusion in Herschel-Bulkley fluid flow-application to catheterized stenosed artery. CFD Lett. 2022; 14, 75-87.

BK Sharma, R Gandhi and MM Bhatti. Entropy analysis of thermally radiating MHD slip flow of hybrid nanoparticles (Au-Al2O3/Blood) through a tapered multi-stenosed artery. Chem. Phys. Lett. 2022; 790, 139348.

M Yadav, S Kumar, A Kaushik, RK Garg, A Ahlawat and D Chhabra. Modeling and simulation of piezo-beam structure mounted in a circular pipe using laminar flow as energy harvester. Int. J. Eng. Trends Tech. 2023; 71, 296-314.

V Kumar, R Kumar, S Gupta, KK Kataria, S Chaudhary and S Dangi. Enhancement of heat transfer performance of a channel flow using modified delta winglet vortex generator. Adv. Mater. Process. Tech. 2022, https://doi.org/10.1080/2374068X.2022.2099656

Poonam, BK Sharma, C Kumawat and K Vafai. Computational biomedical simulations of hybrid nanoparticles (Au-Al2O3/blood-mediated) transport in a stenosed and aneurysmal curved artery with heat and mass transfer: Hematocrit dependent viscosity approach. Chem. Phys. Lett. 2022; 800, 139666.

R Ponalagusamy and S Priyadharshini. A numerical model on pulsatile flow of magnetic nanoparticles as drug carrier suspended in Herschel-Bulkley fluid through an arterial stenosis under external magnetic field and body force. Int. J. Comput. Math. 2019; 96, 1763-86.

M Chitra and R Bhaskaran. The influence of heat transfer on two phase visco-elastic fluid model for MHD oscilliatory blood flow in stenosed arteries. Int. J. Inf. Comput. Sci. 2019; 6, 31-43.

AK Roy, AK Saha, R Ponalagusamy and S Debnath. Mathematical model on magneto-hydrodynamic dispersion in a porous medium under the influence of bulk chemical reaction. Korea Aust. Rheol. J. 2020; 32, 287-99.

R Manchi and R Ponalagusamy. Modeling of pulsatile EMHD flow of Au-blood in an inclined porous tapered atherosclerotic vessel under periodic body acceleration. Arch. Appl. Mech. 2021; 91, 3421-47.

S Mukhopadhyay. Insight into distribution of wall pressure, wall shear stress, and oscillatory shear index: Pulsatile flow of blood subject to Lorentz force. Force Mech. 2022; 8, 100110.

A Hussain, L Sarwar, A Rehman, S Akbar, F Gamaoun, HH Coban, AH Almaliki and MS Alqurashi. Heat transfer analysis and effects of (silver and gold) nanoparticles on blood flow inside arterial stenosis. Appl. Sci. 2022; 12, 1601.

U Khanduri and BK Sharma. Entropy analysis for MHD flow subject to temperature-dependent viscosity and thermal conductivity. In: S Banerjee and A Saha (Eds.). Nonlinear dynamics and applications. Springer Proceedings in Complexity. Springer, Cham, Switzerland, 2022, p. 457-71.

S Changdar and S De. Analysis of non-linear pulsatile blood flow in artery through a generalized multiple stenosis. Arab. J. Math. 2016; 5, 51-61.

C Kumawat, BK Sharma, QM Al-Mdallal and MRahimi-Gorji. Entropy generation for MHD two phase blood flow through a curved permeable artery having variable viscosity with heat and mass transfer. Int. Commun. Heat Mass Transf. 2022; 133, 105954.

R Ponalagusamy and S Priyadharshini. Couple stress fluid model for pulsatile flow of blood in a porous tapered arterial stenosis under magnetic field and periodic body acceleration. J. Mech. Med. Biol. 2017; 17, 1750109.

R Gandhi, BK Sharma, C Kumawat and OA Beg. Modeling and analysis of magnetic hybrid nanoparticle (Au-Al2O3/blood) based drug delivery through a bell-shaped occluded artery with joule heating, viscous dissipation and variable viscosity effects. J. Process Mech. Eng. 2022; 236, 2024-43.

R Gandhi and BK Sharma. Unsteady MHD hybrid nanoparticle (Au-Al2O3/blood) mediated blood flow through a vertical irregular stenosed artery: Drug delivery applications. In: S Banerjee and A Saha (Eds.). Nonlinear dynamics and applications. Springer Proceedings in Complexity. Springer, Cham, Switzerland, 2022, p. 325-37.

KW Bunonyo and L Ebiwareme. A low Prandtl number haemodynamic oscillatory flow through a cylindrical channel using the Power Series Method. Eur. J. Appl. Phys. 2022; 4, 56-65.

S Kumar and S Kumar. Blood flow through an elliptical stenosed artery with the heat source and chemical reaction. Res. J. Biotechnol. 2022; 17, 82-90.

RR Hanvey and KW Bunonyo. Effect of treatment parameter on oscillatory flow of blood through an atherosclerotic artery with heat transfer. J. Niger. Soc. Phys. Sci. 2022; 4, 682.

R Ponalagusamy and R Manchi. A study on two-layered (K.L-Newtonian) model of blood flow in an artery with six types of mild stenoses. Appl. Math. Comput. 2020; 367, 124767.

JKafle, HP Gaire, PR Pokhrel and P Kattel. Analysis of blood flow through curved artery with mild stenosis. Math. Model. Comput. 2022; 9, 217-25.

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Published

2023-08-28

How to Cite

Kumar, S. ., & Kumar, S. . (2023). Blood Flow with Heat Transfer through Different Geometries of Stenotic Arteries. Trends in Sciences, 20(11), 6965. https://doi.org/10.48048/tis.2023.6965