Analysis of non-linear pulsatile blood flow in artery through a generalized multiple stenosis

详细信息    查看全文

• 作者：Satyasaran Changdar ; Soumen De
• 关键词：65C20 ; 65L12 ; 76D05 ; 92C10
• 刊名：Arabian Journal of Mathematics
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：5
• 期：1
• 页码：51-61
• 全文大小：1,136 KB
• 参考文献：1.Wooton D.M., Ku D.N.: Fluid mechanics of vascular systems, diseases and thrombosis. Annu. Rev. Biomed. Eng. 1, 299–329 (1999)CrossRef
  2.Taylor C.A., Draney Mary T.: Experimental and computational methods in cardiovascular fluid mechanics. Annu. Rev. Fluid Mech. 36, 197–231 (2004)CrossRef
  3.Fang B., Zhu L., Fok P., Lu X.: Simulation of a pulsatile non-Newtonian flow past a stenosed 2D artery with atherosclerosis. Comput. Biol. Med. 43, 1098–1113 (2013)CrossRef
  4.Chakravarty S., Mondal P.K.: Mathematical modelling of blood flow through an overlapping arterial stenosis. Math. Comput. Model. 19, 59–70 (1994)CrossRef
  5.Lee K.W., Xu X.Y.: Modelling of Flowand wall behaviour in a mildly stenosed tube. Med. Eng. Phys. 24, 575–586 (2002)CrossRef
  6.Ang K.C., Mazumdar J.N.: Mathematical modelling of three-dimensional flow through an asymmetric arterial stenosis. Math. Comput. Model. 25, 19–29 (1997)CrossRef
  7.Ikbal Md.A., Chakravarty S., Wong K.K.L., Majumdar J., Mandal P.K.: Unsteady response of non-Newtonian blood flow through a stenosed artery in magnetic field. J. Comput. Appl. Math. 230, 243–259 (2009)CrossRef MathSciNet
  8.Kohler U., Marshall I., Robertson M.B., Long Q., Xu X.Y.: MRI measurement of wall shear stress vectors in bifurcation models and comparis on with CFD predictions. J. Magn. Reson. Imaging. 14, 563–573 (2001)CrossRef
  9.Stroud J.S., Berger S.A., Saloner D.: Numerical analysis of flow through a severely stenotic carotid artery bifurcation. J. Biomech. Eng. 124, 9–20 (2002)CrossRef
  10.Fischer P.F., Loth F., Lee S.E., Lee S.W., Smith D., Bassiouny H.: Simulation of high Reynolds number vascular flows. Comput. Meth. Appl. Mech. Eng. 196, 3049–3060 (2007)CrossRef MathSciNet
  11.Fearn R.M., Mullin T., Clile K.A.: Nonlinear flow phenomena in a symmetric sudden expansion. J. Fluid. Mech. 211, 595–608 (1990)CrossRef
  12.Durst F., Pereira J.C., Tropea C.: The plane symmetric sudden expansion. J. Fluid Mech. 248, 567–581 (1993)CrossRef
  13.Mahapatra T., Layek G.C., Maiti M.K.: Unsteady laminar separated flow through constricted channel. Int. J. Non-Linear Mech. 37, 171–186 (2002)CrossRef
  14.Chakravarty S., Sannigrahi A.K.: Effect of body acceleration on blood flow in an irregular stenosed artery. Math. Comput. Model. 19, 93–103 (1994)CrossRef
  15.Taylor M.G.: The influence of anomalous viscosity of blood upon its oscillatory flow. Phys. Med. Biol 3, 273–290 (1959)CrossRef
  16.Burton A.C.: Physiology and Biophysics of the Circulation, Introductory Text. Year Book Medical Publisher, Chicago (1966)
  17.Ling S.C., Atabek H.B.: A nonlinear analysis of pulsatile flow in arteries. J. Fluid. Mech. 55, 493–511 (1972)CrossRef
  18.Tu C., Deville M., Dheur L., Vanderschuren L.: Finite element simulation of pulsatile flow through arterial stenosis. J. Biomech. 25, 1141–1152 (1992)CrossRef
  
• 作者单位：Satyasaran Changdar (1)
  Soumen De (2)
  
  1. Institute of Engineering & Management, Saltlake, Kolkata, 700101, India
  2. Department of Applied Mathematics, University of Calcutta, 92, Acharya Prafulla Chandra Road, Kolkata, 700 009, India
  
• 刊物主题：Mathematics, general;
• 出版者：Springer Berlin Heidelberg
• ISSN：2193-5351

文摘

The non-linear blood flow under the influence of periodic body acceleration through a generalized multiple stenosed artery is investigated with the help of numerical simulation. The arterial segment is simulated by a cylindrical tube filled with a viscous incompressible Newtonian fluid described by the Navier–Stokes equation. The non-linear equation is solved numerically using finite difference with the proper boundary conditions and pressure gradient that arise from the heart. The effect of Reynolds number is also discussed. Results are shown in comparison with the existing models. Mathematics Subject Classification 65C20 65L12 76D05 92C10