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Flow characteristics in a vascular tube with an overIapping constriction

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A numerical solution to the unsteady blood flow in the neighbourhood of an overlapping constriction is obtained under laminar flow conditions. Blood is modelled as a viscous, incompressible and of Newtonian type fluid. A finite-difference staggered grid has been used to solve the unsteady incompressible Navier-Stokes equations in cylindrical polar co-ordinates under the axi-symmetric conditions. A co-ordinate transformation has been employed to map the constricted tube into a straight tube. The effect of flow characteristics in this type of constriction and its consequences in arterial diseases are investigated. Flow features such as velocity, pressure and wall shear stress distributions are presented graphically. The secondary separation has been noted in the downstream of the overlapping constriction when the Reynolds number of the flow is about 205.
Rocznik
Strony
153--167
Opis fizyczny
Bibliogr. 21 poz., rys., tab., wykr.
Twórcy
autor
autor
autor
  • Department of Mathematics, The University of Burdwan Burdwan-713104 W.B., INDIA, glayek@yahoo.com
Bibliografia
  • Chakravarty S. and Mandal P.K. (1994): Mathematical modelling of blood flow through an overlapping arterial stenosis. - Math. Comput. Modelling, vol.19, No.1, pp.59-70.
  • Chakravarty S. and Mandal P.K. (1996): A nonlinear two-dimensional model of blood flow in an overlapping arterial stenosis subjected to body acceleration. - Math. Comput. Modelling, vol.24, No.1, pp.43-58.
  • Damodaran V., Rankin G.W. and Zhang C. (1996): Numerical study of steady laminar flow through tubes with multiple constrictions using curvilinear coordinates. - Int. J. for Numer. Methods in Fluids, vol.23, pp.1021-1041.
  • Fung Y.C. (1981): Biomechanics, mechanical properties of living tissues. - New York: Springer-Verlag.
  • Harlow F.H. and Welch J.E. (1965): Numerical calculation of time dependent viscous incompressible flow field with free surface. - Phys. of Fluids, vol.8, pp.2182-2189.
  • Jung H., Choi J.W. and Park C.G. (2004): Asymmetric flows of non-Newtonian fluids in symmetric stenosed artery. - Korea-Australia Rheology Journal, vol.16, No.2, pp.101-108.
  • Lee T.S. (1994): Steady laminar fluid flow through a variable constriction in vascular tube. - ASME J. Fluids Eng., vol.116, pp.66-71.
  • Lee D. and Chen J.Y. (2002): Numerical simulation of steady flow fields in a model of abdominal aorta with its peripheral branches. - J. Biomech., vol.35, pp.1115-1122.
  • Lee J.S. and Fung Y.C. (1970): Flow in locally constricted tubes at low Reynolds numbers. - J. Appl. Mech., ASME, vol.37, pp.9-16.
  • Ling S.C. and Atabek H.B. (1972): A nonlinear analysis of pulsatile flow in arteries. - J. Fluid. Mech., vol.55, pp.493-511.
  • Mandal P.K. (2003): An unsteady analysis of nonlinear two-layered 2D model of pulsatile flow through stenosed arteries. - Mathematical Modelling and Analysis, vol.8, No.3, pp.229-246.
  • Mandal P.K. (2005): An unsteady analysis of non-Newtonian blood flow through tapered arteries with a stenosis. - Int. J. Non-Linear Mechanics, vol.40, pp.151-164.
  • Pedley T.J. (1980): The Fluid Mechanics of Large Blood Vessels. - Cambridge University Press.
  • Ratish Kumar B.V., Yamguchi T., Liu H. and Himeno H. (2002): A numerical study of unsteady flow in a doubly constricted 3D vessel. - Int. J. Numer. Meth. Fluids, vol.38, pp.1159-1176.
  • Talukder N., Karayannacos P.E., Nerem R.M. and Vasco J.S. (1977): An experimental study of fluid mechanics of arterial stenosis. - ASME J. Biomech. Eng., vol.99, pp.74-82.
  • Tortoriello A. and Pedrizzetti G. (2004): Flow-tissue interaction with compliance mismatch in a model stenosed artery. - J. Biomech., vol.37, pp.1-11.
  • Yamaguchi T. (2000): Computational mechanical model studies in the cardiovascular system, In: Yamaguchi T. (Ed.). - Clinical Application of Computational Mechanics to the Cardio Vascular system, Springer, pp.3-19.
  • Young D.F. (1979): Fluid mechanics of arterial stenoses. - J. Biomech. Eng., vol.101, pp.157-75.
  • Young D.F. and Tsai F.Y. (1973a): Flow characteristics in models of arterial stenoses. I-Steady flow. - J. Biomech., vol.6, pp.395-410.
  • Young D.F. and Tsai F.Y. (1973b): Flow characteristics in models of arterial stenoses. II-Unsteady flow. - J. Biomech., vol.6, pp.547-559.
  • Xin-yu, LI, Gong-bi, WEN, Ding and LI. (2001): Computer simulation of non-Newtonian flow and mass transport through coronary arterial stenosis. - Applied Mathe. and Mech., vol.22, pp.409-424.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0028-0012
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