Unsteady hybrid nanoparticle-mediated magneto-hemodynamics and heat transfer through an overlapped stenotic artery: Biomedical drug delivery simulation
Restricted accessResearch articleFirst published online October, 2021
Unsteady hybrid nanoparticle-mediated magneto-hemodynamics and heat transfer through an overlapped stenotic artery: Biomedical drug delivery simulation
Two-dimensional laminar hemodynamics through a diseased artery featuring an overlapped stenosis was simulated theoretically and computationally. This study presented a mathematical model for the unsteady blood flow with hybrid biocompatible nanoparticles (Silver and Gold) inspired by drug delivery applications. A modified Tiwari-Das volume fraction model was adopted for nanoscale effects. Motivated by the magneto-hemodynamics effects, a uniform magnetic field was applied in the radial direction to the blood flow. For realistic blood behavior, Reynolds’ viscosity model was applied in the formulation to represent the temperature dependency of blood. Fourier’s heat conduction law was assumed and heat generation effects were included. Therefore, the governing equations were an extension of the Navier–Stokes equations with magneto-hydrodynamic body force included. The two-dimensional governing equations were transformed and normalized with appropriate variables, and the mild stenotic approximation was implemented. The strongly nonlinear nature of the resulting dimensionless boundary value problem required a robust numerical method, and therefore the FTCS algorithm was deployed. Validation of solutions for the particular case of constant viscosity and non-magnetic blood flow was included. Using clinically realistic hemodynamic data, comprehensive solutions were presented for silver, and silver-gold hybrid mediated blood flow. A comparison between silver and hybrid nanofluid was also included, emphasizing the use of hybrid nanoparticles for minimizing the hemodynamics. Enhancement in magnetic parameter decelerated the axial blood flow in stenotic region. Colored streamline plots for blood, silver nano-doped blood, and hybrid nano-doped blood were also presented. The simulations were relevant to the diffusion of nano-drugs in magnetic targeted treatment of stenosed arterial diseases.
YoungDFTsaiFY. Flow characteristics in models of arterial stenoses—I. Steady flow. J Biomech1973; 6(4): 395–410.
3.
SchlichtingH. Boundary layer theory. New York, NY: McGraw- Hill Book Company, 1968.
4.
BiswasD. Blood flow models: a comparative study. New Delhi: Mittal Publications, 2000.
5.
LingSCAtabekHB. A nonlinear analysis of pulsatile flow in arteries. J Fluid Mech1972; 55(3): 493–511.
6.
ChakravartySMandalPK. Mathematical modelling of blood flow through an overlapping arterial stenosis. Math Comput Model1994; 19(1): 59–70.
7.
ChakravartySMandalPK. Two-dimensional blood flow through tapered arteries under stenotic conditions. Int J Non Linear Mech2000; 35(5): 779–793.
8.
MekheimerKSEl KotMA. Mathematical modelling of unsteady flow of a Sisko fluid through an anisotropically tapered elastic arteries with time-variant overlapping stenosis. Appl Math Model2012; 36(11): 5393–5407.
9.
RiahiDNRoyRCavazosS. On arterial blood flow in the presence of an overlapping stenosis. Math Comput Model2011; 54(11–12): 2999–3006.
10.
HaghighiARChalakSA. Mathematical modeling of blood flow through a stenosed artery under body acceleration. J Braz Soc Mech Sci Eng2017; 39(7): 2487–2494.
11.
SrivastavRK. Mathematical model of blood flow through a composite stenosis in catheterized artery with permeable wall. Appl Appl Math2014; 9(1): 58–74.
12.
ZamanAAliNBégOA. Unsteady magnetohydrodynamics blood flow in a porous-saturated overlapping stenotic artery—numerical modeling. J Mech Med Biol2016; 16(04): 1650049.
13.
AliNZamanASajidM. Unsteady blood flow through a tapered stenotic artery using Sisko model. Comput Fluids2014; 101: 42–49.
14.
ChoiSUSEastmanJA. Enhancing thermal conductivity of fluids with nanoparticles. Int Mech Eng Congress Expo1995; 66: 99–105.
15.
TripathiDBégOA. A study on peristaltic flow of nanofluids: application in drug delivery systems. Int J Heat Mass Transf2014; 70: 61–70.
16.
TripathiJVasuBDubeyA, et al. A review on recent advancements in the hemodynamics of nano-drug delivery systems. Nanosci Technol2020; 11(1): 73–98.
17.
VasuBDubeyABégOA. Finite element analysis of non-Newtonian magneto-hemodynamic flow conveying nano-particles through a stenosed coronary artery. Heat Transf Asian Res2020; 49(1): 33–66.
18.
AliNZamanASajidM, et al. Numerical simulation of time-dependent non-Newtonian nanopharmacodynamic transport phenomena in a tapered overlapping stenosed artery. Nanosci Technol2018; 9(3): 247–282.
19.
NadeemSIjazS. Theoretical analysis of metallic nanoparticles on blood flow through stenosed artery with permeable walls. Phys Lett A2015; 379(6): 542–554.
20.
AhmedANadeemS. The study of (Cu, TiO2, Al2O3) nanoparticles as antimicrobials of blood flow through diseased arteries. J Mol Liq2016; 216: 615–623.
21.
DubeyAVasuBAnwar BégO, et al. Computational fluid dynamic simulation of two-fluid non-Newtonian nano-hemodynamics through a diseased artery with a stenosis and aneurysm. Comput Methods Biomech Biomed Engin2020; 23(8): 345–371.
22.
MakishimaA. Possibility of hybrid materials. Ceram Jpn2004; 39(2): 90–91.
23.
IjazSNadeemS. Biomedical theoretical investigation of blood mediated nanoparticles (Ag-Al2O3/blood) impact on hemodynamics of overlapped stenotic artery. J Mol Liq2017; 248: 809–821.
24.
IjazSNadeemS. A biomedical solicitation examination of nanoparticles as drug agents to minimize the hemodynamics of a stenotic channel. Eur Phys J Plus2017; 132(11): 448.
25.
ZamanAAliNAliI. Effects of nanoparticles (Cu (Copper), Silver (Ag)) and slip on unsteady blood flow through a curved stenosed channel with aneurysm. Therm Sci Eng Prog2018; 5: 482–491.
26.
AhmedANadeemS. Effects of magnetohydrodynamics and hybrid nanoparticles on a micropolar fluid with 6-types of stenosis. Results Phys2017; 7: 4130–4139.
27.
HaikYPaiVChenCJ. Apparent viscosity of human blood in a high static magnetic field. J Magn Magn Mater2001; 225(1–2): 180–186.
28.
YadavRPHarminderSBhoopalS. Experimental studies on blood flow in stenosis arteries in presence of magnetic field. Ultra Sci2008; 20(3): 499–504.
29.
PonalagusamyRSelviRT. Influence of magnetic field and heat transfer on two-phase fluid model for oscillatory blood flow in an arterial stenosis. Meccanica2015; 50(4): 927–943.
30.
NadeemSIjazSAdil SadiqM. Inspiration of induced magnetic field on a blood flow of Prandtl nanofluid model with stenosis. Curr Nanosci2014; 10(5): 753–765.
31.
ZamanAAliNKhanAA. Computational biomedical simulations of hybrid nanoparticles on unsteady blood hemodynamics in a stenotic artery. Math Comput Simul2020; 169: 117–132.
32.
EllahiRRazaMVafaiK. Series solutions of non-Newtonian nanofluids with Reynolds’ model and Vogel’s model by means of the homotopy analysis method. Math Comput Model2012; 55(7–8): 1876–1891.
33.
ZamanAKhanAAAliN. Modelling of unsteady non-Newtonian blood flow through a stenosed artery: with nanoparticles. J Braz Soc Mech Sci Eng2018; 40(6): 307.
34.
DeviSADeviSSU. Numerical investigation of hydromagnetic hybrid Cu–Al2O3/water nanofluid flow over a permeable stretching sheet with suction. Int J Nonlinear Sci Numer Simul2016; 17(5): 249–257.
35.
BurtonAC. Physiology and biophysics of the circulation - introductory text. Chicago, IL: Year Book Medical Publisher, 1966.
BégOAAliNZamanA, et al. Computational modeling of heat transfer in an annular porous medium solar energy absorber with the P1-radiative differential approximation. J Taiwan Inst Chem Eng2016; 66: 258–268.
38.
BégOAZamanAAliN, et al. Numerical computation of nonlinear oscillatory two-immiscible magnetohydrodynamic flow in dual porous media system: FTCS and FEM study. Heat Transf Asian Res2019; 48(4): 1245–1263.
39.
ZamanAAliNBégOA. Numerical study of unsteady blood flow through a vessel using Sisko model. Eng Sci Technol2016; 19(1): 538–547.
40.
AliNJavidKSajidM, et al. Numerical simulation of peristaltic flow of a biorheological fluid with shear-dependent viscosity in a curved channel. Comput Methods Biomech Biomed Engin2016; 19(6): 614–627.
41.
ZamanAAliNBégOA, et al. Heat and mass transfer to blood flowing through a tapered overlapping stenosed artery. Int J Heat Mass Transf2016; 95: 1084–1095.
42.
AliNJavedMABégOA, et al. Mathematical model for isothermal wire-coating from a bath of Giesekus viscoelastic fluid. Chem Eng Commun2016; 203(10): 1336–1348.
43.
MitvalskýV. Heat transfer in the laminar flow of human blood through tube and annulus. Nature1965; 206: 307.
44.
DillerKR. Fundamentals of bio-heat transfer. In: MorosEG (ed.) Physics of thermal therapy: fundamentals and clinical applications. Boca Raton, FL: CRC Press, 2013, pp.3–22.
45.
HensleyDWMarkAEAbellaJR, et al. 50 Years of computer simulation of the human thermoregulatory system. J Biomech Eng2013; 135: 1–9.
46.
RylanderMNFengYBassJ, et al. Heat shock protein expression and injury optimization for laser therapy design. Lasers Surg Med2007; 39: 731–746.
47.
ZhangXZhengLLiuL, et al. Modelling and simulation on heat transfer in blood vessels subject to a transient laser irradiation. J Heat Transf2020; 142(3): 031201 (9 pages).
48.
NubarY. Blood flow, slip, and viscometry. Biophys J1971; 11(3): 252–264.
49.
AsgharZAliNSajidM, et al. Magnetic microswimmers propelling through biorheological liquid bounded within an active channel. J Magn Magn Mater2019; 486: 165283 (13 pages).
50.
TezduyarTESatheSSchwaabM, et al. Arterial fluid mechanics modeling with the stabilized space–time fluid–structure interaction technique. Int J Numer Methods Fluids2008; 57: 601–629.
51.
BégOAIslamBShamshuddinMD, et al. Computational fluid dynamics analysis of moisture ingress in aircraft structural composite materials. Arab J Sci Eng2019; 44(9): 7809–7831.
52.
BégOABégTAPattersonJ, et al. Two-way fluid-structure interaction hydroelastic simulation of vibrating membranes with applications in marine renewable energy. In: ICMEAMT 2020: 14th international conference on mechanical engineering, applied mechanics and technology, Cairo, Egypt, 14–15 December 2020.
