Computer simulation of heat and mass transfer effects on nanofluid flow of blood through an inclined stenosed artery with hall effect

Mishra, Nidhish Kumar

doi:10.2478/ama-2024-0017

Artykuł - szczegóły

Tytuł artykułu

Computer simulation of heat and mass transfer effects on nanofluid flow of blood through an inclined stenosed artery with hall effect

Autorzy

Mishra Nidhish Kumar

Treść / Zawartość

Pełne teksty:

Pobierz

Identyfikatory

DOI

10.2478/ama-2024-0017

Warianty tytułu

Języki publikacji

Abstrakty

The present study deals with the analysis of heat and mass transfer for nanofluid flow of blood through an inclined stenosed artery under the influence of the Hall effect. The effects of hematocrit-dependent viscosity, Joule heating, chemical reaction and viscous dissipation are taken into account in the governing equations of the physical model. Non-dimensional differential equations are solved using the finite difference method, by taking into account the no-slip boundary condition. The effects of different thermophysical parameters on the velocity, temperature, concentration, shear stress coefficient and Nusselt and Sherwood numbers of nano-biofluids are exhaustively discussed and analysed through graphs. With an increase in stenosis height, shear stress, the Nusselt number and the Sherwood number are computed, and the impacts of each are examined for different physical parameters. To better understand the numerous phenomena that arise in the artery when nanofluid is present, the data are displayed graphically and physically described. It is observed that as the Hartman number and Hall parameter increase, the velocity drops. This is as a result of the Lorentz force that the applied magnetic field has generated. Blood flow in the arteries is resisted by the Lorentz force. This study advances the knowledge of stenosis and other defects’ non-surgical treatment options and helps reduce post-operative consequences. Moreover, ongoing research holds promise in the biomedical field, specifically in magnetic resonance angiography (MRA), an imaging method for artery examination and anomaly detection.

Słowa kluczowe

chemical reaction Hall effect Joule heating nanofluid variable viscosity

Wydawca

Oficyna Wydawnicza Politechniki Białostockiej

Czasopismo

Acta Mechanica et Automatica

Rocznik

2024

Tom

Vol. 18, no. 1

Strony

129--138

Opis fizyczny

Bibliogr. 59 poz., wykr.

Twórcy

autor

Mishra Nidhish Kumar

n.kumar@seu.edu.sa

Department of Basic Science, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh 11673, Saudi Arabia

https://orcid.org/0000-0003-4502-261X

Bibliografia

1. Nadeem S, Ijaz S. Theoretical analysis of metallic nanoparticles on blood flow through stenosed artery with permeable walls. Physics Letters A. 2015; 379(6): 542-554.
2. Liepsch D, Singh M, Lee M. Experimental analysis of the influence of stenotic geometry on steady flow. Biorheology.1991, 29(4): 419-431.
3. Ellahi R, Rahman SU, Nadeem S, Akbar N S. Blood flow of nanofluid through an artery with composite stenosis and permeable walls. Applied Nanoscience. 2014; 4(8): 919-926.
4. Bali R, Awasthi U. A Casson fluid model for multiple stenosed artery in the presence of magnetic field. Applied Mathematics. 2012; 3 (5): 436-441.
5. Nadeem S, Jaz S, Akbar NS. Nanoparticle analysis for blood flow of Prandtl fluid model with stenosis. International Nano Letters. 2013; 3(1): 1-13.
6. Késmárky G et al. Plasma viscosity: a forgotten variable. Clinical hemorheology and microcirculation. 2008; 39(1): 243-246.
7. Srivastava N. Analysis of flow characteristics of the blood flowing through an inclined tapered porous artery with mild stenosis under the influence of an inclined magnetic field. Journal of Biophysics. 2014; Article ID 797142,:1-9.
8. Baskurt K, Meiselman HJ. Blood rheology and hemodynamics. in Seminars in thrombosis and hemostasis. New York: Stratton Intercontinental Medical Book Corporation. c1974, 2003.
9. Lenz C et al. Blood viscosity modulates tissue perfusion–sometimes and somewhere. Transfusion Alternatives in Transfusion Medicine. 2007; 9(4): 265-272.
10. Kwon O et al. Effect of blood viscosity on oxygen transport in residual stenosed artery following angioplasty. Journal of biomechanical engineering. 2008; 130(1): 011003.
11. Asghar Z, Waqas M, Gondal M A, Khan W A. Electro-osmotically driven generalized Newtonian blood flow in a divergent micro-channel, Alexandria Engineering Journal. 2022; 61 (6), 4519-4528. https://doi.org/10.1016/j.aej.2021.10.012
12. Chen II, Sana S. Analysis of an intensive magnetic field on blood flow: part 2. Electromagnetic Biology and Medicine.1985; 4(1): 55-62.
13. Bose S et al. Lagrangian magnetic particle tracking through stenosed artery under pulsatile flow condition. Journal of Nanotechnology in Engineering and Medicine. 2013; 4(3): 031006.
14. Lübbe AS, Alexiou C, Bergemann C. Clinical applications of magnetic drug targeting. Journal of Surgical Research. 2001; 95(2): 200-206.
15. Sharma B K, Kumawat C, Makinde O D. Hemodynamical analysis of MHD two phase blood flow through a curved permeable artery having variable viscosity with heat and mass transfer, Biomechanics and Modeling in Mechanobiology.2022; 21(3): 797-825.
16. Kumawat C, Sharma B K, Al-Mdallal Qasem M, Gorji M M. 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. 2022; 133: 105954.
17. Osalusi E, Side J, Harris R, Johnston B. On the effectiveness of viscous dissipation and Joule heating on steady MHD flow and heat transfer of a Bingham fluid over a porous rotating disk in the presence of Hall and ion-slip currents, International Communications in Heat and Mass Transfer. 2007; 34(9-10): 1030-1040,
18. Sharma B K, Jha A K, Chaudhary R C. Hall effect on MHD free convective flow of a viscous fluid past an infinite vertical porous plate with Heat source/sink effect. Romania Journal in Physics. 2007; 52(5-6): 487-504.
19. Sharma B K, Chaudhary R C. Hydromagnetic unsteady mixed convection and mass transfer flow past a vertical porous plate immersed in a porous medium with Hall effect. Engineering Transactions. 2008; 56(1): 3-23.
20. Mishra A, Sharma B K. MHD mixed convection flow in a rotating channel in the presence of an inclined magnetic field with the Hall effect. J. Eng. Phys. & Thermo Phy. 2017; 90(6): 1563-1574.
21. AlBaidani M M, Mishra NK, Alam MM, Eldin SM, AL-Zahrani AA Akgul A. Numerical analysis of magneto-radiated annular fin natural-convective heat transfer performance using advanced ternary nanofluid considering shape factors with heating source. Case Studies in Thermal Engineering. 2023; 44: 102825.
22. Ramzan M, Gul H, Chung J D, Kadry S, Chu Y M. Significance of Hall effect and ion slip in a three-dimensional bioconvective tangent hyperbolic nanouid flow subject to Arrhenius activation energy. Scientific Reports. 2020; 10(1): 1-15.
23. Das S, B Barman, Jana R N, Makinde O D. Hall and ion slip currents impact on electromagnetic blood flow conveying hybrid nanoparticles through an endoscope with peristaltic waves. BioNanoScience. 2021; 11(3): 770-792.
24. Raja MA, Shoaib M, Hussain S, Nisar KS, Islam S. Computational intelligence of Levenberg-Marquardt backpropagation neural networks to study thermal radiation and Hall effects on boundary layer flow past a stretching sheet. Int Commun Heat Mass Transf. 2022; 130: 105799.
25. Das M, Nandi S, Kumbhakar B. Hall effect on unsteady MHD 3D Carreau nanofluid flow past a stretching sheet with Navier’s slip and nonlinear thermal radiation. PJMs. 2022: 11.
26. Kada B, Pasha A A, Asghar Z, Khan M W S, Aris I B, Shaikh M S. Carreau–Yasuda fluid flow generated via metachronal waves of cilia in a micro-channel. Physics of Fluids. 2023; 35(1):013110. https://doi.org/10.1063/5.0134777
27. Asghar Z, Shah RA, Ali N. A numerical framework for modeling the dynamics of micro-organism movement on Carreau-Yasuda layer. Soft Comput. 2023; 27: 8525–8539. https://doi.org/10.1007/s00500-023-08236-3
28. Virmani R et al. Pathology of radiation-induced coronary artery disease in human and pig. Cardiovascular radiation medicine. 1999; 1(1): 98-101.
29. Bejawada S , Nandeppanavar M M. Effect of thermal radiation on magnetohydrodynamics heat transfer micropolar fluid flow over a vertical moving porous plate. Exp. Comput. Multiph. Flow 2023;5: 149–158. https://doi.org/10.1007/s42757-021-0131-5
30. Jamshed W, Ramesh GK, Roopa GS, Nisar KS, Safdar R, Madhukesh JK, Shahzad F, Isa SSPM, Goud BS, Eid MR. Electromagnetic radiation and convective slippery stipulation influence in viscous second grade nanofluid through penetrable material. Z Angew Math Mech. 2022; 202200002. https://doi.org/10.1002/zamm.202200002
31. Reddy Y D, Goud B S . Comprehensive analysis of thermal radiation impact on an unsteady MHD nanofluid flow across an infinite vertical flat plate with ramped temperature with heat consumption. Results in Engineering. 2022; 17: 100796. https://doi.org/10.1016/j.rineng.2022.100796
32. Sharma, B K, Yadav K, Mishra N K, Chaudhary R C. Soret and Dufour effects on unsteady MHD mixed convection flow past a radiative vertical porous plate embedded in a porous medium with chemical reaction. Applied Mathematics. 2012; 3(7): 717-723.
33. Sharma B K, Gupta S, Krishna V V, Bhargavi R J. Soret and Dufour effects on an unsteady MHD mixed convective flow past an infinite vertical plate with Ohmic dissipation and heat source. Afrika Matematika. 2014; 25 (3): 799-825.
34. Makinde OD, Reddy G M, Reddy K V. Effects of thermal radiation on MHD peristaltic motion of walters-b fluid with heat source and slip conditions. Journal of Applied Fluid Mechanics. 2017; 10(4): 1105-1112.
35. Mishra NK. Computational analysis of Soret and Dufour effects on nanofluid flow through a stenosed artery in the presence of temperature-dependent viscosity. Acta Mechanica et Automatica. 2023;17(2): 246-253.
36. Taylor R et al. Small particles, big impacts: a review of the diverse applications of nanofluids. Journal of Applied Physics. 2013; 113(1): 011301.
37. Su X, Zheng L. Hall effect on MHD flow and heat transfer of nanofluids over a stretching wedge in the presence of velocity slip and Joule heating. Central European Journal of Physics. 2013; 11(12): 1694-1703.
38. Gandhi R, Sharma B K, Kumawat C, Bég O A. 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, Proceedings of the Institution of Mechanical Engineers. Part E: Journal of Process Mechanical Engineering. 2022; 236(5): 2024-2043.
39. Sharma B K, Gandhi Rishu, Bhatti M M. Entropy analysis of thermally radiating MHD slip flow of hybrid nanoparticles (Au-Al2O3/Blood) through a tapered multi-stenosed artery. Chemical Physics Letters. 2022; 790: 139348.
40. Asghar Z, Shah RA, Shatanawi W et al. A theoretical approach to mathematical modeling of sperm swimming in viscoelastic Ellis fluid in a passive canal. Arch Appl Mech. 2023; 93: 1525–1534. https://doi.org/10.1007/s00419-022-02343-7
41. Asghar Z, Elmoasry A, Shatanawi W, Gondal M A. An exact solution for directional cell movement over Jeffrey slime layer with surface roughness effects, Physics of Fluids. 2023; 35: 041901. https://doi.org/10.1063/5.0143053
42. Asghar Z; Khan Muhammad W S, Shatanawi W, Gondal M A, Ghaffari A. An IFDM analysis of low Reynolds number flow generated in a complex wavy curved passage formed by artificial beating cilia. International Journal of Modern Physics B. 2023; 37 (19): 2350187. https://doi.org/10.1142/S0217979223501874
43. Asghar Z. Enhancing motility of micro-swimmers via electric and dynamical interaction effects. Eur. Phys. J. Plus. 2023; 138: 357. https://doi.org/10.1140/epjp/s13360-023-03963-w
44. Goud B. S, Nandeppanavar M M. Chemical Reaction and Mhd Flow for Magnetic Field Effect on Heat and Mass Transfer of Fluid Flow Through a Porous Medium Onto a Moving Vertical Plate. International Journal of Applied Mechanics and Engineering. 2022; 27 (2):226-244. https://doi.org/10.2478/ijame-2022-0030
45. Sharma BK, Sharma P, Mishra NK, Noeiaghdam S, Fernandez-Gamiz U. Bayesian regularization networks for micropolar ternary hybrid nanofluid flow of blood with homogeneous and heterogeneous reactions: Entropy generation optimization. Alexandria Engineering Journal. 2023;77:127-148.
46. Goud B S, Srilatha P, Srinivasulu T, Reddy Y D, Kanti Sandeep Kumar K S. Induced by heat source on unsteady MHD free convective flow of Casson fluid past a vertically oscillating plate through porous medium utilizing finite difference method, Materials Today: Proceedings 2023. https://doi.org/10.1016/j.matpr.2023.01.378.
47. Sharma BK, Sharma P, Mishra NK, Fernandez-Gamiz U. Darcy-Forchheimer hybrid nanofluid flow over the rotating Riga disk in the presence of chemical reaction: Artificial neural network approach. Alexandria Engineering Journal. 2023; 76:101-130. https://doi.org/10.1016/j.aej.2023.06.014
48. Asogwa K K, Goud B S. Impact of velocity slip and heat source on tangent hyperbolic nanofluid flow over an electromagnetic surface with Soret effect and variable suction/injection. Proceedings of the Institution of Mechanical Engineers. Part E: Journal of Process Mechanical Engineering. 2023; 237(3):645-657. doi:10.1177/09544089221106662
49. Sharma B K, Gandhi R, Mishra N K, Al-Mdallal Q. Entropy generation minimization of higher-order endothermic/exothermic chemical reaction with activation energy on MHD mixed convective flow over a stretching surface. Scientific Reports. 2022; 12: 17688. https://doi.org/10.1038/s41598-022-22521-5
50. Srinivasulu T, Goud B S. Effect of inclined magnetic field on flow, heat and mass transfer of Williamson nanofluid over a stretching sheet. Case Studies in Thermal Engineering. 2021; 23: 100819. https://doi.org/10.1016/j.csite.2020.100819
51. Chakravarty S, Mandal P. Mathematical modelling of blood flow through an overlapping arterial stenosis. Mathematical and computer modelling. 1994; 19(1): 59-70.
52. Chakravarty S, Mandal P. A nonlinear two-dimensional model of blood flow in an overlapping arterial stenosis subjected to body acceleration. Mathematical and computer modelling. 1996; 24(1): 43-58.
53. Ellahi R, Rahman SU, Nadeem S. Blood flow of Jeffrey fluid in a catherized tapered artery with the suspension of nanoparticles. Physics Letters A. 2014; 378: 2973–2980.
54. Lih MMS. Transport phenomena in medicine and biology. Biomedical engineering and health systems. 1975. Wiley.
55. Datta BN. Numerical linear algebra and applications 2012. SIAM.
56. Khanduri U, Sharma B K. Mathematical analysis of Hall effect and hematocrit dependent viscosity on Au/Go-blood hybrid nanofluid flow through a stenosed catheterized artery with thrombosis. In Advances in Mathematical Modelling. Applied Analysis and Computation: Proceedings of ICMMAAC 2022: 121-137. Cham: Springer Nature Switzerland.
57. Sharma BK, Kumar A, Gandhi R, Bhatti MM, Mishra NK. Entropy generation and thermal radiation analysis of EMHD Jeffrey nanofluid flow: Applications in solar energy. Nanomaterials. 2023; 13(3): 544.
58. AlBaidani MM, Mishra NK, Ahmad Z, Eldin SM, Haq EU. Numerical study of thermal enhancement in ZnO-SAE50 nanolubricant over a spherical magnetized surface influenced by Newtonian heating and thermal radiation. Case Studies in Thermal Engineering. 2023; 45: 102917.
59. Sharma PK, Sharma BK, Mishra N K, Rajesh H. Impact of Arrhenius activation energy on MHD nanofluid flow past a stretching sheet with exponential heat source: A modified Buongiorno’s model approach. International Journal of Modern Physics B. 2023; 2350284. 10.1142/S0217979223502843.

Typ dokumentu

Bibliografia

Identyfikator YADDA

bwmeta1.element.baztech-ed59529d-9168-4084-a860-06c3e21868bc