Magnetohydrodynamics hemodynamics hybrid nanofluid flow through inclined stenotic artery

doi:10.1007/s10483-023-2961-7

Abstract

Abstract: The present study aims to perform computational simulations of two-dimensional (2D) hemodynamics of unsteady blood flow via an inclined overlapping stenosed artery employing the Casson fluid model to discuss the hemorheological properties in the arterial region. A uniform magnetic field is applied to the blood flow in the radial direction as the magneto-hemodynamics effect is considered. The entropy generation is discussed using the second law of thermodynamics. The influence of different shape parameters is explored, which are assumed to have varied shapes (spherical, brick, cylindrical, platelet, and blade). The Crank-Nicolson scheme solves the equations and boundary conditions governing the flow. For a given critical height of the stenosis, the key hemodynamic variables such as velocity, wall shear stress (WSS), temperature, flow rate, and heat transfer coefficient are computed.

Key words: overlapping stenosis, hematocrit-dependent viscosity, Au-Cu/blood hybrid nanofluid, entropy generation, shape effect

2010 MSC Number:

B. K. SHARMA, R. GANDHI, T. ABBAS, M. M. BHATTI. Magnetohydrodynamics hemodynamics hybrid nanofluid flow through inclined stenotic artery. Applied Mathematics and Mechanics (English Edition), 2023, 44(3): 459-476.

TrendMD

References

[1] ZAMAN, A., ALI, N., and SAJID, M. Numerical simulation of pulsatile flow of blood in a porous-saturated overlapping stenosed artery. Mathematics and Computers in Simulation, 134, 1-16(2017)
[2] ALI, A., HUSSAIN, M., ANWAR, M. S., and INC, M. Mathematical modeling and parametric investigation of blood flow through a stenosis artery. Applied Mathematics and Mechanics (English Edition), 42(11), 1675-1684(2021) https://doi.org/10.1007/s10483-021-2791-8
[3] SIVA, T., JANGILI, S., and KUMBHAKAR, B. Heat transfer analysis of MHD and electroosmotic flow of non-Newtonian fluid in a rotating microfluidic channel: an exact solution. Applied Mathematics and Mechanics (English Edition), 42(7), 1047-1062(2021) https://doi.org/10.1007/s10483-021-2752-6
[4] ZHANG, X., LUO, M., TAN, P., ZHENG, L., and SHU, C. Magnetic nanoparticle drug targeting to patient-specific atherosclerosis: effects of magnetic field intensity and configuration. Applied Mathematics and Mechanics (English Edition), 41(2), 349-360(2020) https://doi.org/10.1007/s10483-020-2566-9
[5] DAS, S., PAL, T. K., and JANA, R. N. Outlining impact of hybrid composition of nanoparticles suspended in blood flowing in an inclined stenosed artery under magnetic field orientation. BioNanoScience, 11, 99-11(2021)
[6] ZHANG, X., WANG, E., MA, L., SHU, C., and ZHENG, L. Analysis of hemodynamics and heat transfer of nanoparticle-injected atherosclerotic patient: considering the drag force and slip between phases of different particle shapes and volume fractions. International Journal of Thermal Sciences, 159, 106637(2021)
[7] BASHA, H. T., RAJAGOPAL, K., AHAMMAD, N. A., SATHISH, S., and GUNAKALA, S. R. Finite difference computation of Au-Cu/magneto-bio-hybrid nanofluid flow in an inclined uneven stenosis artery. Complexity, 2022, 2078372(2022)
[8] CHAKRAVARTY, S. and MANDAL, P. K. Numerical simulation of Casson fluid flow through differently shaped arterial stenoses. Zeitschrift fur Angewandte Mathematik und Physik, 65, 767-782(2014)
[9] DEBNATH, S., SAHA, A. K., MAZUMDER, B. S., and ROY, A. K. Transport of a reactive solute in a pulsatile non-Newtonian liquid flowing through an annular pipe. Journal of Engineering Mathematics, 116, 1-22(2019)
[10] ALI, A., FAROOQ, H., ABBAS, Z., BUKHARI, Z., and FATIMA, A. Impact of Lorentz force on the pulsatile flow of a non-Newtonian Casson fluid in a constricted channel using Darcy's law: a numerical study. Scientific Reports, 10, 1-15(2020)
[11] DAS, P., SARIFUDDIN, R. J., and MANDAL, P. K. Solute dispersion in transient Casson fluid flow through stenotic tube with exchange between phases. Physics of Fluids, 33, 061907(2021)
[12] KUMAWAT, C., SHARMA, B. K., and MEKHEIMER, K. S. Mathematical analysis of two-phase blood flow through a stenosed curved artery with hematocrit and temperature dependent viscosity. Physica Scripta, 96, 125277(2021)
[13] CONNOR, E. E., MWAMUKA, J., GOLE, A., MURPHY, C. J., and WYATT, M. D. Gold nanoparticles are taken up by human cells but do not cause acute cytotoxicity. Small, 1, 325-327(2005)
[14] JIANG, Y., REYNOLDS, C., XIAO, C., FENG, W., ZHOU, Z., RODRIGUEZ, W., TYAGI, S. C., EATON, J. W., SAARI, J. T., and KANG, Y. J. Dietary copper supplementation reverses hypertrophic cardiomyopathy induced by chronic pressure overload in mice. The Journal of Experimental Medicine, 204, 657-666(2007)
[15] GHOSH, P., HAN, G., DE, M., KIM, C. K., and ROTELLO, V. M. Gold nanoparticles in delivery applications. Advanced Drug Delivery Reviews, 60, 1307-1315(2008)
[16] GENTILE, F., FERRARI, M., and DECUZZI, P. The transport of nanoparticles in blood vessels: the effect of vessel permeability and blood rheology. Annals of Biomedical Engineering, 36, 254-261(2008)
[17] IJAZ, S. and NADEEM, S. Slip examination on the wall of tapered stenosed artery with emerging application of nanoparticles. International Journal of Thermal Sciences, 109, 401-412(2016)
[18] BEJAN, A. Second law analysis in heat transfer. Energy, 5, 720-732(1980)
[19] BEJAN, A. Entropy generation minimization: the new thermodynamics of finite-size devices and finite-time processes. Journal of Applied Physics, 79, 1191-1218(1996)
[20] AKBAR, N. S. and BUTT, A. W. Entropy generation analysis in convective ferromagnetic nano blood flow through a composite stenosed arteries with permeable wall. Communications in Theoretical Physics, 67, 554(2017)
[21] MEKHEIMER, K. S., ZAHER, A. Z., and ABDELLATEEF, A. I. Entropy hemodynamics particle-fluid suspension model through eccentric catheterization for time-variant stenotic arterial wall: catheter injection. International Journal of Geometric Methods in Modern Physics, 16, 1950164(2019)
[22] ZHANG, L., BHATTI, M. M., MARIN, M., and MEKHEIMER, K. S. Entropy analysis on the blood flow through anisotropically tapered arteries filled with magnetic zinc-oxide (ZnO) nanoparticles. Entropy, 22, 1070(2020)
[23] ZIDAN, A. M., MCCASH, L. B., AKHTAR, S., SALEEM, A., ISSAKHOV, A., and NADEEM, S. Entropy generation for the blood flow in an artery with multiple stenosis having a catheter. Alexandria Engineering Journal, 60, 5741-5748(2021) SHARMA, B. K., GANDHI, R., and BHATTI, M. M. Entropy analysis of thermally radiating MHD slip flow of hybrid nanoparticles (Au-Al₂O₃) through a tapered multi-stenosed artery. Chemical Physics Letters, 790, 139348(2022)
[24] ROJA, A., GIREESHA, B. J., and NAGARAJA, B. Irreversibility investigation of Casson fluid flow in an inclined channel subject to a Darcy-Forchheimer porous medium: a numerical study. Applied Mathematics and Mechanics (English Edition), 42(1), 95-108(2021) https://doi.org/10.1007/s10483-021-2681-9
[25] BURTON, A. C. Physiology and Biophysics of the Circulation, Year Book Medical Publishers, Chicago (1965)
[26] NA, T. Y. Computational Methods in Engineering Boundary Value Problems, Elsevier Science \& Technology, New York (1979)
[27] REVNIC, C., GROSAN, T., SHEREMET, M., and POP, I. Numerical simulation of MHD natural convection flow in a wavy cavity filled by a hybrid Cu-Al₂O₃-water nanofluid with discrete heating. Applied Mathematics and Mechanics (English Edition), 41(9), 1345-1358(2020) https://doi.org/10.1007/s10483-020-2652-8
[28] ABO-ELKHAIR, R. E., BHATTI, M. M., and MEKHEIMER, K. S. Magnetic force effects on peristaltic transport of hybrid bio-nanofluid (Au Cu nanoparticles) with moderate Reynolds number: an expanding horizon. International Communications in Heat and Mass Transfer, 123, 105228, (2021)
[29] XU, H. Mixed convective flow of a hybrid nanofluid between two parallel inclined plates under wall-slip condition. Applied Mathematics and Mechanics (English Edition), 43(1), 113-126(2022) https://doi.org/10.1007/s10483-021-2801-6
[30] ZHANG, B., GU, J., QIAN, M., NIU, L., ZHOU, H., and GHISTA, D. Correlation between quantitative analysis of wall shear stress and intima-media thickness in atherosclerosis development in carotid arteries. Biomedical Engineering Online, 16, 1-17(2017)