Particulate suspension blood flow through a narrow catheterized artery

The problem of blood flow in a narrow catheterized artery has been investigated using a two-phase macroscopic model of blood (i.e., a suspension of red cells in plasma). It is found that the effective viscosity and the frictional resistance increase with hematocrit. Flow characteristics assume lower magnitudes in catheterized artery as compared to uncatheterized artery for any given set of parameters. Numerical results reveal that the effective viscosity and the increased frictional resistance assume their minimal magnitude and consequently the volumetric flow rate assumes its maximal magnitude during the artery catheterization at the catheter size approximately fifty percent of the artery size.

[1]  Ahmed Hassanein,et al.  Multiphase hemodynamic simulation of pulsatile flow in a coronary artery. , 2006, Journal of biomechanics.

[2]  G. Jayaraman,et al.  Flow in catheterised curved artery , 1995, Medical and Biological Engineering and Computing.

[3]  M D Deshpande,et al.  Steady laminar flow through modelled vascular stenoses. , 1976, Journal of biomechanics.

[4]  G. Karahalios Some possible effects of a catheter on the arterial wall. , 1990, Medical physics.

[5]  Tasawar Hayat,et al.  Effects of an endoscope on peristaltic flow of a micropolar fluid , 2008, Math. Comput. Model..

[6]  H. Pettersson,et al.  Hydro- and Hemodynamic Effects of Catheterization of Vessels , 1977, Acta radiologica: diagnosis.

[7]  L. Back,et al.  Estimated mean flow resistance increase during coronary artery catheterization. , 1994, Journal of biomechanics.

[8]  R. Haynes Physical basis of the dependence of blood viscosity on tube radius. , 1960, The American journal of physiology.

[9]  G Jayaraman,et al.  Estimation of increased flow resistance in a narrow catheterized artery--a theoretical model. , 1996, Journal of biomechanics.

[10]  D. A. MacDonald Pulsatile flow in a catheterised artery. , 1986, Journal of biomechanics.

[11]  Tasawar Hayat,et al.  Exact peristaltic flow in tubes with an endoscope , 2006, Appl. Math. Comput..

[12]  J. F. Herrick,et al.  The effect on the blood flow of decreasing the lumen of a blood vessel , 1938 .

[13]  H. Pettersson,et al.  Hydro- and Hemodynamic Effects of Catheterization of Vessels , 1976, Acta radiologica: diagnosis.

[14]  G Jayaraman,et al.  Correction to flow rate--pressure drop relation in coronary angioplasty: steady streaming effect. , 1998, Journal of biomechanics.

[15]  P. Lykoudis,et al.  The fluid mechanics of the ureter , 1971, Journal of Fluid Mechanics.

[16]  Tasawar Hayat,et al.  Slip effects on the peristaltic transport of MHD fluid with variable viscosity , 2008 .

[17]  Christopher K. W. Tam,et al.  The drag on a cloud of spherical particles in low Reynolds number flow , 1969, Journal of Fluid Mechanics.

[18]  G. Layek,et al.  Unsteady viscous flow with variable viscosity in a vascular tube with an overlapping constriction , 2009 .

[19]  V. P. Srivastava A Theoretical Model for Blood Flow in Small Vessels , 2007 .

[20]  Donald A. Drew,et al.  Two-phase flows: Constitutive equations for lift and Brownian motion and some basic flows , 1976 .

[21]  L M Srivastava,et al.  On two-phase model of pulsatile blood flow with entrance effects. , 1983, Biorheology.

[22]  H V Anderson,et al.  Measurement of transstenotic pressure gradient during percutaneous transluminal coronary angioplasty. , 1986, Circulation.

[23]  Ahmed Hassanein,et al.  Hemodynamic Computation Using Multiphase Flow Dynamics in a Right Coronary Artery , 2006, Annals of Biomedical Engineering.

[24]  D. S. Sankar,et al.  Pulsatile flow of Herschel-Bulkley fluid through catheterized arteries - : A mathematical model , 2007 .

[25]  Tasawar Hayat,et al.  Effects of an endoscope and magnetic field on the peristalsis involving Jeffrey fluid , 2008 .

[26]  H. Pettersson,et al.  Hydro- and Hemodynamic Effects of Catheterization of Vessels , 1977, Acta radiologica: diagnosis.

[27]  L. Back,et al.  Flow rate-pressure drop relation in coronary angioplasty: catheter obstruction effect. , 1996, Journal of biomechanical engineering.

[28]  Y. Fung,et al.  Mechanics of the Circulation , 2011, Developments in Cardiovascular Medicine.

[29]  Giles R Cokelet,et al.  The rheology of human blood , 1963 .

[30]  J. D. Garnic,et al.  Usefulness of transstenotic coronary pressure gradient measurements during diagnostic catheterization. , 1985, The American journal of cardiology.

[31]  D. F. Young,et al.  Flow characteristics in models of arterial stenoses. II. Unsteady flow. , 1973, Journal of biomechanics.

[32]  V. P. Srivastava,et al.  A two-layered suspension blood flow through an overlapping stenosis , 2010, Comput. Math. Appl..

[33]  Rati Rastogi,et al.  Non-Newtonian Arterial Blood Flow through an Overlapping Stenosis , 2010 .

[34]  V. P. Srivastava,et al.  Blood flow through a stenosed catheterized artery: Effects of hematocrit and stenosis shape , 2010, Comput. Math. Appl..

[35]  C. E. Huckaba,et al.  A generalized approach to the modeling of arterial blood flow. , 1968, The Bulletin of mathematical biophysics.

[36]  Rati Rastogi Effects of Hematocrit on Impedance and Shear Stress during Stenosed Artery Catheterization , 2009 .

[37]  Ikuo Sugiyama,et al.  Structure of blood flow through a curved vessel with an aneurysm. , 1984, Biorheology.

[38]  V. P. Srivastava Effects of an Inserted Endoscope on Chyme Movement in Small Intestine - A Theoretical Model , 2007 .

[39]  Stanley E. Charm,et al.  Blood flow and microcirculation , 1974 .

[40]  D. Bergel Cardiovascular fluid dynamics , 1972 .

[41]  L. M. Srivastava,et al.  Particulate suspension model for blood flow under external body acceleration. , 1994, International journal of bio-medical computing.

[42]  L M Srivastava,et al.  Peristaltic transport of a particle-fluid suspension. , 1989, Journal of biomechanical engineering.

[43]  E W Salzman,et al.  Pressure-flow relations of human blood in hollow fibers at low flow rates. , 1965, Journal of applied physiology.

[44]  A. J. Mulder,et al.  Artificial-reflex stimulation for FES-induced standing with minimum quadriceps force , 1990, Medical and Biological Engineering and Computing.

[45]  Abd El Hakeem Abd El Naby,et al.  Effects of an endoscope and generalized Newtonian fluid on peristaltic motion , 2002, Appl. Math. Comput..

[46]  Hiroshi Kanai,et al.  One of the problems in the measurement of blood pressure by catheter-insertion: Wave reflection at the tip of the catheter , 1970, Medical and biological engineering.

[47]  V. P. Srivastava,et al.  Arterial Blood Flow Through a Nonsymmetrical Stenosis with Applications , 1995 .

[48]  D. A. Mcdonald Blood flow in arteries , 1974 .

[49]  V. P. Srivastava Two-phase model of blood flow through stenosed tubes in the presence of a peripheral layer: applications. , 1996, Journal of biomechanics.

[50]  G. Bugliarello,et al.  Velocity distribution and other characteristics of steady and pulsatile blood flow in fine glass tubes. , 1970, Biorheology.

[51]  G Jayaraman,et al.  Flow in a catheterized curved artery with stenosis. , 1999, Journal of biomechanics.

[52]  D. Drew Stability of a Stokes’ layer of a dusty gas , 1979 .