Numerical study of irreversibility analysis on pulsatile flow of blood through a ω-shaped stenotic artery

Chinese Journal of Physics - Tập 87 - Trang 97-117 - 2024
M.S. Shabbir1, T. Nazar1
1Department of Mathematics, The Islamia University of Bahawalpur, 63100, Pakistan

Tài liệu tham khảo

Young, 1968, Effect of a time-dependent stenosis on flow through a tube, J. Eng. Ind., 90, 248, 10.1115/1.3604621 Chaturani, 1989, Casson fluid model for pulsatile flow of blood under periodic body acceleration, J. Biorheol., 27, 619, 10.3233/BIR-1990-27501 Dash, 1999, Flow in a catheterized curved artery with stenosis, J. Biomech., 32, 49, 10.1016/S0021-9290(98)00142-0 Biswas, 2010, Pulsatile blood flow through a catheterized artery with an axially nonsymmetrical stenosis, Appl. Math. Sci., 4, 2865 Srivastava, 2010, A two-layered suspension blood flow through an overlapping stenosis, Comput. Math. Appl., 60, 432, 10.1016/j.camwa.2010.04.038 Pincombe, 1999, Effects of multiple stenoses and post-stenotic dilatation on non-Newtonian blood flow in small arteries, Med. Biol. Eng. Comput., 37, 595, 10.1007/BF02513353 Chakravarthy, 1994, Mathematical modelling of blood flow through an overlapping stenosis, Math. Comput. Model., 19, 59, 10.1016/0895-7177(94)90116-3 Nikolov, 2003, Biomathematical modeling and analysis of blood flow in an intracranial aneurysm, Neurol. Res., 25, 497, 10.1179/016164103101201724 Zaman, 2016, Slip effects on unsteady non-Newtonian blood flow through an inclined catheterized overlapping stenotic artery, AIP Adv., 6, 10.1063/1.4941358 Varshney, 2010, Effect of magnetic field on the blood flow in artery having multiple stenosis: a numerical study, Int. J. Eng. Sci. Tech., 2, 67, 10.4314/ijest.v2i2.59142 Misra, 2007, Role of slip velocity in blood flow through stenosed arteries: a non-newtonian model, J. Mech. Med. Biol., 7, 337, 10.1142/S0219519407002303 Ismail, 2007, A power-law model of blood flow through a tapered overlapping stenosed artery, Appl. Math. Comput., 195, 669 Priyadharshini, 2015, Biorheological model on flow of herschel-bulkley fluid through a tapered arterial stenosis with dilatation, Appl. Bionics Biomech., 10.1155/2015/406195 Sharma, 2013, Pulsatile MHD arterial blood flow in the presence of double stenoses, J. Appl. Fluid Mech., 6, 331 Ikbal, 2009, Unsteady response of non-Newtonian blood flow through a stenosed artery in magnetic field, J. Comput. Appl. Math., 230, 243, 10.1016/j.cam.2008.11.010 Ali, 2015, Unsteady non Newtonian blood flow through a tapered overlapping stenosed catheterized vessel, Math. Biosci., 269, 94, 10.1016/j.mbs.2015.08.018 Zaman, 2017, Numerical simulation of pulsatile flow of blood in a porous-saturated overlapping stenosed artery, Math. Comput. Simul., 134, 1, 10.1016/j.matcom.2016.09.008 Zaman, 2016, Numerical simulation of unsteady micropolar hemodynamics in a tapered catheterized artery with a combination of stenosis and aneurysm, Med. Biol. Eng. Comput., 54, 1423, 10.1007/s11517-015-1415-3 Zaman, 2017, Effects of peripheral layer thickness on pulsatile flow of Herschel-Bulkley fluid through a stenotic artery, Can. J. Phys., 134, 1 Mekheimer, 2011, Induced magnetic field influences on blood flow through an anisotropically tapered elastic artery with overlapping stenosis in an annulus, Can. J. Phys., 89, 201, 10.1139/P10-103 Sankar, 2006, Pulsatile flow of Herschel–Bulkley fluid through stenosed arteries-a mathematical model, Int. J. Non Linear Mech., 41, 979, 10.1016/j.ijnonlinmec.2006.02.007 Abbas, 2017, Analysis of rheological properties of Herschel–Bulkley fluid for pulsating flow of blood in ω-shaped stenosed artery, AIP Adv., 7, 10.1063/1.5004759 Ponalagusamy, 2019, 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, 96, 1763, 10.1080/00207160.2018.1532079 Ramasamy, 2020, Effects of magnetic force and non-Newtonian characteristics on squeeze film bearings, Asia Pac. J. Chem. Eng., 15, 2510, 10.1002/apj.2510 Cho, 1990, Numerical solution of pulsatile flow and heat transfer characteristics in a pipe, Int. J. Heat Fluid Flow, 11, 321, 10.1016/0142-727X(90)90056-H Victor, 1976, Steady state heat transfer to blood flowing in the entrance region of a tube, Int. J. Heat Mass Transf., 19, 777, 10.1016/0017-9310(76)90131-9 Makinde, 2005, Heat transfer to MHD oscillatory flow in a channel filled with porous medium, Rom. J. Phys., 50, 9 Horang, 2007, Effects of pulsatile flow of in large vessels on thermal dose distribution during thermal therapy, Med. Phys., 34, 1312, 10.1118/1.2712415 Valencia, 2006, Unsteady flow and mass transfer in models of stenotic arteries considering fluid-structure interaction, Int. Commun. Heat Mass Transf., 33, 966, 10.1016/j.icheatmasstransfer.2006.05.006 Ponalagusamy, 2021, Biorheological model on pulsatile flow of blood (K–L fluid) through flexible stenotic tapered blood vessels, Int. J. Appl. Comput. Math., 7, 1, 10.1007/s40819-020-00942-y Prakash, 2011, A study of effects of heat source on MHD blood flow through bifurcated arteries, AIP Adv., 1, 10.1063/1.3658616 Ponalagusamy, 2012, Mathematical analysis on effect of non-Newtonian behavior of blood on optimal geometry of microvascular bifurcation system, J. Frank. Inst., 349, 2861, 10.1016/j.jfranklin.2012.08.006 Sharma, 2013, Heat and mass transfer in magneto-biofluid flow through a non-darcian porous medium with joule effect, J. Eng. Phys. Thermophys., 86, 766, 10.1007/s10891-013-0893-0 Sinha, 2015, Electromagnetohydrodynamic flow of blood and heat transfer in a capillary with thermal radiation, J. Magn. Magn. Mater., 378, 143, 10.1016/j.jmmm.2014.11.029 Mekheimer, 2012, Influence of heat and chemical reactions on blood flow through an anistropically tapered elastic arteries with overlapping stenosis, Appl. Math. Inf. Sci., 6, 281 Mekheimer, 2012, Mathematical modelling of unsteady flow of a sisko fluid through an anisotropically tapered elastic arteries with time-variant overlapping stenosis, Appl. Math. Model., 36, 5393, 10.1016/j.apm.2011.12.051 Wang, 2005, Numerical analysis of heat transfer in pulsating turbulent flow in a pipe, Int. J. Heat Mass Transf., 48, 3957, 10.1016/j.ijheatmasstransfer.2005.04.011 Mekheimer, 2011, Simultaneous effects of induced magnetic field and heat and mass transfer on the peristaltic motion of second-order fluid in a channel, Int. J. Numer. Meth. Fluids, 70, 342, 10.1002/fld.2693 Das, 2023, Simulation for bloodstream conveying bi-nanoparticles in an endoscopic canal with blood clot under intense electromagnetic force, Waves Random Complex Media, 1 Bejan, 1980, Second law analysis in heat transfer, Energy, 5, 720, 10.1016/0360-5442(80)90091-2 Bejan, 2013 Akbar, 2015, Peristaltic flow with thermal conductivity of H2O+ Cu nanofluid and entropy generation, Results Phys., 5, 115, 10.1016/j.rinp.2015.04.003 Zhang, 2020, Entropy analysis on the blood flow through anisotropically tapered arteries filled with magnetic zinc-oxide (ZnO) nanoparticles, Entropy, 22, 1070, 10.3390/e22101070 Nazar, 2022, Hybrid (Au-TiO2) nanofluid flow over a thin needle with magnetic field and thermal radiation: dual solutions and stability analysis, Microfluid., 26, 2, 10.1007/s10404-021-02504-0 Zhang, 2021, Stability analysis on the kerosene nanofluid flow with hybrid zinc/aluminum-oxide (ZnO-Al2O3) nanoparticles under Lorentz force, Int. J. Numer. Methods Heat Fluid Flow, 32, 740, 10.1108/HFF-02-2021-0103 Zaman, 2022, Simulation of Magneto-Hydrodynamics effects on cross fluid (blood) model with entropy generations in multiple stenosed (aneurysm) curved channel, Chin. J. Phys. Karmakar, 2023, Modeling non-Newtonian magnetized blood circulation with tri-nanoadditives in a charged artery, J. Comput. Sci., 70, 10.1016/j.jocs.2023.102031 Mekheimer, 2019, Entropy hemodynamics particle-fluid suspension model through eccentric catheterization for time-variant stenotic arterial wall: catheter injection, Int. J. Geom. Meth. Mod. Phys., 16, 10.1142/S0219887819501640 Ponalagusamy, 2012, Mathematical model of pulsatile flow of non-Newtonian fluid in tubes of varying cross-sections and its implications to blood flow, J. Frank. Inst., 349, 1681, 10.1016/j.jfranklin.2012.02.001 Majee, 2017, Numerical investigation of MHD flow of blood and heat transfer in a stenosed arterial segment, J. Magn. Magn. Mater., 424, 137, 10.1016/j.jmmm.2016.10.028 Eldabe, 2017, Homotopy perturbation method for MHD pulsatile non-Newtonian nanofluid flow with heat transfer through a non-Darcy porous medium, J. Egypt. Math. Soc., 25, 1, 10.1016/j.joems.2017.05.003 Adesanya, 2012, Heat transfer to magnetohydrodynamic non-Newtonian couple stress pulsatile flow between two parallel porous plates, Z. Naturforsch. A, 67, 647, 10.5560/zna.2012-0073 Nadeem, 2011, Influence of heat and chemical reactions on Walter's B fluid model for blood flow through a tapered artery, J. Taiwan Inst. Chem. Eng., 42, 67, 10.1016/j.jtice.2010.03.012 Akbar, 2014, Heat and mass transfer effects on Carreau fluid model for blood flow through a tapered artery with a stenosis, Int. J. Biomath., 7, 10.1142/S1793524514500041 Abou-Zeid, 2014, Mathematical modeling for pulsatile flow of a non-Newtonian fluid with heat and mass transfer in a porous medium between two permeable parallel plates, J. Nucl. Part. Phys., 4, 100 Zaman, 2016, Heat and mass transfer to blood flowing through a tapered overlapping stenosed artery, Int. J. Heat and Mass Transf., 95, 1084, 10.1016/j.ijheatmasstransfer.2015.12.073 Priyadharshini, 2019, A numerical study on unsteady flow of Herschel–Bulkley nanofluid through an inclined artery with body acceleration and magnetic field, Int. J. Comput. Math., 5, 1 Nazar, 2023, Irreversibility analysis in the ternary nanofluid flow through an inclined artery via Caputo-Fabrizio fractional derivatives, Results Phys., 10.1016/j.rinp.2023.106992