Blood flow; CFD; finite volume; Newtonian fluid; porous media; Curve shape; Finite-volume; Flow modelling; Human artery; Modelling studies; Newtonian fluids; Porous flow; Porous medium; Two-dimensional; Engineering (all); Physics and Astronomy (all); General Physics and Astronomy; General Engineering
Abstract :
[en] The porous flow model studies the blood flow in a curve shape. This study has addressed simulations of blood flow in a porous media through an elbow artery; two-dimensional (2D), have been investigated. The blood flow is supplied with diameters such as (300 and 500 µm). The outputs from numerical simulations have presented the details of blood flow patterns and the local distribution of blood flow along the artery. The effects of permeability concerning the variations in the Reynolds number (Re = 0.1, 1 and 5) and changing porosity levels have been discussed. Different vessel diameters were studied to show the velocity distribution inside the vessel. Results are presented in variations of velocity distributions and local variations of flow rates through the vessel dimensions. Outputs compare with the available data, and a good agreement find. The study potentially evaluates the role of porosity and flow conditions when the body is subject to diseases.
Zhao C. Dynamic and transient infinite elements: theory and geophysical, geotechnical and geoenvironmental applications. New York: Springer Science & Business Media; 2009.
Zhao C, Hobbs BE, Ord A. Convective and advective heat transfer in geological systems. New York: Springer Science & Business Media; 2008.
Zhao C, Hobbs BE, Ord A. Fundamentals of computational geoscience: numerical methods and algorithms. Vol. 122. New York: Springer Science & Business Media; 2009.
Dash R, Mehta K, Jayaraman G. Effect of yield stress on the flow of a Casson fluid in a homogeneous porous medium bounded by a circular tube. Appl Sci Res. 1996; 57 (2): 133–149.
Sud V, Sekhon G. Arterial flow under periodic body acceleration. Bull Math Biol. 1985; 47 (1): 35–52.
Al-Saad M, Suarez CA, Obeidat A, et al. Application of smooth particle hydrodynamics method for modelling blood flow with thrombus formation. Comput Model Eng Sci. 2020; 122 (3): 831–862.
Guo S, Yu D, Wu W. The physical characteristics of the porous media concerning flow in viscera. Acta Mech Sin. 1982; 15 (1): 26–33.
Mehmood OU, Mustapha N, Shafie S. Unsteady two-dimensional blood flow in porous artery with multi-irregular stenoses. Transp Porous Media. 2012; 92 (2): 259–275.
Khaled A-R, Vafai K. The role of porous media in modeling flow and heat transfer in biological tissues. Int J Heat Mass Transfer. 2003; 46 (26): 4989–5003.
Song F, Xu Y, Li H. Blood flow in capillaries by using porous media model. J Cent South Univ Technol. 2007; 14 (1): 46–49.
Vyas DCM, Kumar S, Srivastava A. Porous media based bio-heat transfer analysis on counter-current artery vein tissue phantoms: applications in photo thermal therapy. Int J Heat Mass Transfer. 2016; 99: 122–140.
Das B, Batra R. Non-Newtonian flow of blood in an arteriosclerotic blood vessel with rigid permeable walls. J Theor Biol. 1995; 175 (1): 1–11.
Prasad B, Kumar A. Flow of a hydromagnetic fluid through porous media between permeable beds under exponentially decaying pressure gradient. Comput Methods Sci Technol. 2011; 17 (1-2): 63–74.
Eldesoky IM. Slip effects on the unsteady MHD pulsatile blood flow through porous medium in an artery under the effect of body acceleration. Int J Math Math Sci. 2012; 2012: 1–26.
Misra J, Sinha A, Shit G. Mathematical modeling of blood flow in a porous vessel having double stenoses in the presence of an external magnetic field. Int J Biomath. 2011; 4 (02): 207–225.
Zhao C. Physical and chemical dissolution front instability in porous media. Cham: Springer; 2014.
Zhao C, Hobbs B, Hornby P, et al. Theoretical and numerical analyses of chemical-dissolution front instability in fluid-saturated porous rocks. Int J Numer Anal Methods Geomech. 2008; 32 (9): 1107–1130.
Zhao C, Hobbs B, Ord A. Theoretical analyses of nonaqueous phase liquid dissolution-induced instability in two-dimensional fluid-saturated porous media. Int J Numer Anal Methods Geomech. 2010; 34 (17): 1767–1796.
Zhao C, Hobbs B, Ord A. Theoretical analyses of acidization dissolution front instability in fluid-saturated carbonate rocks. Int J Numer Anal Methods Geomech. 2013; 37 (13): 2084–2105.
Zhao C, Hobbs B, Ord A. Theoretical analyses of chemical dissolution-front instability in fluid-saturated porous media under non-isothermal conditions. Int J Numer Anal Methods Geomech. 2015; 39 (8): 799–820.
Umeda Y, Ishida F, Tsuji M, et al. Computational fluid dynamics (CFD) using porous media modeling predicts recurrence after coiling of cerebral aneurysms. PLoS One. 2017; 12 (12): e0190222.
Usmani A, Patel S. Hemodynamics of a cerebral aneurysm under rest and exercise conditions. Int J Energy Clean Environ. 2018; 19 (1-2): 119–136.
Finnigan P, Hathaway A, Lorensen W. Merging CAT and FEM. Mech Eng. 1990; 112 (7): 32.
Taylor CA, Hughes TJ, Zarins CK. Finite element modeling of blood flow in arteries. Comput Methods Appl Mech Eng. 1998; 158 (1-2): 155–196.
Bouillot P, Brina O, Ouared R, et al. Hemodynamic transition driven by stent porosity in sidewall aneurysms. J Biomech. 2015; 48 (7): 1300–1309.
Karmonik C, Anderson J, Beilner J, et al. Relationships and redundancies of selected hemodynamic and structural parameters for characterizing virtual treatment of cerebral aneurysms with flow diverter devices. J Biomech. 2016; 49 (11): 2112–2117.
Li Y, Zhang M, Verrelli DI, et al. Numerical simulation of aneurysmal haemodynamics with calibrated porous-medium models of flow-diverting stents. J Biomech. 2018; 80: 88–94.
Hamdan MO, Alargha HM, Elnajjar E, et al. Using CFD simulation and porous medium analogy to assess cerebral aneurysm hemodynamics after endovascular embolization. Proceedings of the 4th World Congress on Momentum, Heat and Mass Transfer (MHMT’19), 2019, p. ENFHT 122.
Fung Y. Biomechanics: motion, flow, stress, and growth. Ann Arbor (NY): Edwards Brothers. Inc.; 1990.
Lyon CK, Scott JB, Anderson DK, et al. Flow-through collapsible tubes at high Reynolds numbers. Circ Res. 1981; 49 (4): 988–996.
Johnson G, Borovetz H, Anderson J. A model of pulsatile flow in a uniform deformable vessel. J Biomech. 1992; 25 (1): 91–100.
Mekheimer KS, El Kot M. Influence of magnetic field and Hall currents on blood flow through a stenotic artery. Appl Math Mech. 2008; 29 (8): 1093–1104.
Taylor D. Blood flow in arteries. By DA McDonald. Edward Arnold, London, 1974. Q J Exp Physiol Cognate Med Sci Transl Integr. 1975; 60 (1): 65–65.
Liu Q, Mirc D, Fu BM. Mechanical mechanisms of thrombosis in intact bent microvessels of rat mesentery. J Biomech. 2008; 41 (12): 2726–2734.
Abraham J, Sparrow EM, Tong J. Breakdown of laminar pipe flow into transitional intermittency and subsequent attainment of fully developed intermittent or turbulent flow. Numer Heat Transfer Part B Fundam. 2008; 54 (2): 103–115.
Kays W, Crawford M. Convective heat and mass transfer. New York: McGraw-Hill; 1980.
Wang C. Viscous flow in a curved tube filled with a porous medium. Meccanica. 2013; 48 (1): 247–251.
Zeng J, Constantinescu G, Blanckaert K, et al. Flow and bathymetry in sharp open-channel bends: experiments and predictions. Water Resour Res. 2008; 44 (9).