Research Papers: Flows in Complex Systems

The Flow Behavior of a Biofluid in a Separated and Reattached Flow Region

[+] Author and Article Information
Khaled J. Hammad

Department of Engineering,
Central Connecticut State University,
1615 Stanley Street,
New Britain, CT 06050
e-mail: hammad@ccsu.edu

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received August 11, 2014; final manuscript received January 6, 2015; published online March 11, 2015. Assoc. Editor: Francine Battaglia.

J. Fluids Eng 137(6), 061104 (Jun 01, 2015) (8 pages) Paper No: FE-14-1438; doi: 10.1115/1.4029727 History: Received August 11, 2014; Revised January 06, 2015; Online March 11, 2015

The flow behavior of human blood in a separated and reattached flow region is investigated. Hemorheological data that account for the yield stress and shear-thinning non-Newtonian characteristics of blood are used. The governing mass and momentum conservation equations along with the Herschel–Bulkley constitutive equation are solved numerically using a finite-difference scheme. Two inflow velocity profiles are considered, uniform and fully developed (fd) ones. A parametric study is performed to reveal the impact of inflow velocity profile, upstream flow restriction, and rheology on the recirculation strength and reattachment characteristics of the flow field. Uniform inflow conditions result in larger relative recirculation intensity, in comparison with the fd ones, only for a moderate upstream flow restriction. The separated flow region size in the case of a fd inflow is always larger than the one observed for uniform inflow. Larger separated flow regions with stronger flow recirculation, are predicted by the Newtonian (N) model in comparison with the yield shear-thinning (HB) model for all studied inflow and upstream restriction conditions. The separated flow region size displays a stronger dependency on the inflow velocity profile and upstream flow restriction, in comparison with the observed dependency on the used hemorheological model.

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Hammad, K. J., Otugen, M. V., and Arik, E. B., 1999, “A PIV Study of the Laminar Axisymmetric Sudden Expansion Flow,” Exp. Fluids, 26(3), pp. 266–272. [CrossRef]
Sanmiguel-Rojasa, E., and Mullin, T., 2012, “Finite-Amplitude Solutions in the Flow Through a Sudden Expansion in a Circular Pipe,” J. Fluid Mech., 691, pp. 201–213. [CrossRef]
Cantwell, C. D., Barkley, D., and Blackburn, H. M., 2010, “Transient Growth Analysis of Flow Through a Sudden Expansion in a Circular Pipe,” Phys. Fluids, 22(3), p. 034101. [CrossRef]
Battaglia, F., Tavener, S. J., Kulkarni, A. K., and Merkle, C. L., 1997, “Bifurcation of Low Reynolds Number Flows in Symmetric Channels,” AIAA J., 35(1), pp. 99–105. [CrossRef]
Chhabra, R. P., and Richardson, J. F., 2008, Non-Newtonian Flow and Applied Rheology, Engineering Applications, 2nd ed., Butterworth-Heinemann/IChemE, Oxford.
Bird, R. B., Dai, G. C., and Yarusso, B. J., 1983, “The Rheology and Flow of Viscoplastic Materials,” Rev. Chem. Eng., 1(1), pp. 1–70.
Giannetti, F., Luchini, P., and Marino, L., 2011, “Stability and Sensitivity Analysis of Non-Newtonian Flow Through an Axisymmetric Expansion,” J. Phys.: Conf. Ser., 318(3), p. 032015 [CrossRef].
Nag, D., and Datta, A., 2007, “Variation of the Recirculation Length of Newtonian and Non-Newtonian Power-Law Fluids in Laminar Flow Through a Suddenly Expanded Axisymmetric Geometry,” ASME J. Fluid Eng., 129(2), pp. 245–250. [CrossRef]
Hammad, K. J., 2000, “Effect of Hydrodynamic Conditions on Heat Transfer in a Complex Viscoplastic Flow Field,” Int. J. Heat Mass Transfer, 43(6), pp. 945–962. [CrossRef]
Hammad, K. J., Otugen, M. V., Vradis, G. C., and Arik, E. B., 1999, “Laminar Flow of a Nonlinear Viscoplastic Fluid Through an Axisymmetric Sudden Expansion,” ASME J. Fluids Eng., 121(2), pp. 488–496. [CrossRef]
Baskurt, O. K., and Meiselman, H. J., 2003, “Blood Rheology and Hemodynamics,” Semin. Thromb. Hemost., 29(5), pp. 435–450. [CrossRef] [PubMed]
Meiselman, H. J., and Baskurt, O. K., 2006, “Hemorheology and Hemodynamics: Dove Andare?,” Clin. Hemorheol. Microcirc., 35(1–2), pp. 37–43. [PubMed]
Cicco, G., and Cicco, S., 2010, “The Influence of Oxygen Supply, Hemorheology and Microcirculation in the Heart and Vascular Systems,” Oxygen Transport to Tissue XXXI, Adv. Exp. Med. Biol., 662, pp. 33–39. [CrossRef]
Valant, A. Z., Žiberna, L., Papaharilaou, Y., Anayiotos, A., and Georgiou, G. C., 2011, “The Influence of Temperature on Rheological Properties of Blood Mixtures With Different Volume Expanders—Implications in Numerical Arterial Hemodynamics Simulations,” Rheol. Acta, 50(4), pp. 389–402. [CrossRef]
Kim, S., Namgung, B., Ong, P. K., Cho, Y. I., Chun, K. J., and Lim, D., 2009, “Determination of Rheological Properties of Whole Blood With a Scanning Capillary-Tube Rheometer Using Constitutive Models,” J. Mech. Sci. Technol., 23(6), pp. 1718–1726. [CrossRef]
Robertson, A. M., Sequeira, A., and Owens, R. G., 2009, “Rheological Models for Blood,” Cardiovascular Mathematics, Vol. I, Springer, Milan, pp. 211–241 [CrossRef].
Feurstein, I. F., Pike, G. K., and Rounds, G. F., 1975, “Flow in an Abrupt Expansion as a Model for Biological Mass Transfer Experiments,” ASME J. Biomech. Eng., 8(1), pp. 41–51. [CrossRef]
Pollard, A., 1981, “A Contribution on the Effects of Inlet Condition When Modeling Stenoses Using Sudden Expansions,” ASME J. Biomech. Eng., 14(5), pp. 349–355. [CrossRef]
Ma, P., Li, X., and Ku, D. N., 1994, “Heat and Mass Transfer in a Separated Flow Region for High Prandtl and Schmidt Numbers Under Pulsatile Conditions,” Int. J. Heat Mass Transfer, 37(17), pp. 2723–2736. [CrossRef]
Trusky, G. A., Barber, K. M., Robey, T. C., Olivier, L. A., and Combs, M. P., 1995, “Characterization of a Sudden Expansion Flow Chamber to Study the Response of Endothelium to Flow Recirculation,” ASME J. Biomech. Eng., 117(2), pp. 203–210. [CrossRef]
Caro, C. G., Pedley, T. J., Schroter, R. C., and Seed, W. A., 2012, The Mechanics of the Circulation, 2nd ed., Cambridge University, Cambridge [CrossRef].
Vradis, G. C., and Hammad, K. J., 1998, “Strongly Coupled Block-Implicit Solution Technique for Non-Newtonian Convective Heat Transfer Problems,” Numer. Heat Transfer, Part B, 33(1), pp. 79–97. [CrossRef]
Hammad, K. J., 2013, “Hemorheology and the Flow Behavior in a Separated Flow Region,” ASME Paper No. IMECE2013-62548. [CrossRef]
Hammad, K. J., Wang, F., Ötügen, M. V., and Vradis, G. C., 1997, “Suddenly Expanding Axisymmetric Flow of a Yield Stress Fluid,” Album Vis.14, pp. 17–18.
Hammad, K. J., Vradis, G. C., and Ötügen, M. V., 2001, “Laminar Flow of a Herschel–Bulkley Fluid Over an Axisymmetric Sudden Expansion,” ASME J. Fluids Eng., 123(3), pp. 588–594. [CrossRef]
Papanastasiou, T. C., 1987, “Flow of Materials With Yield,” J. Rheol., 31(5), pp. 385–403. [CrossRef]
Ellwood, K. R. J., Georgiou, G. C., Papanastasiou, T. C., and Wilkes, J. O., 1990, “Laminar Jets of Bingham Plastic Liquids,” J. Rheol., 34(6), pp. 787–812. [CrossRef]
Hammad, K. J., 2014, “Velocity and Momentum Decay Characteristics of a Submerged Viscoplastic Jet,” ASME J. Fluids Eng., 136(2), p. 021205. [CrossRef]
Celik, I. B., Ghia, U., Roache, P. J., Freitas, C. J., Coleman, H. W., and Raad, P. E., 2008, “Procedure for Estimation and Reporting of Uncertainty due to Discretization in CFD Applications,” ASME J. Fluids Eng., 130(7), p. 078001. [CrossRef]
Gray, J. D., Owen, I., and Escudier, M. P., 2007, “Dynamic Scaling of Unsteady Shear-Thinning Non-Newtonian Fluid Flows in a Large-Scale Model of a Distal Anastomosis,” Exp. Fluids, 43(4), pp. 535–546. [CrossRef]
Bark, D. L., Jr., and Ku, D. N., 2010, “Wall Shear Over High Degree Stenosis Pertinent to Atherothrombosis,” ASME J. Biomech. Eng., 43(15), pp. 2970–2977. [CrossRef]
Mullin, T., Seddon, J. R. T., Mantle, M. D., and Sederman, A. J., 2009, “Bifurcation Phenomena in the Flow Through a Sudden Expansion in a Circular Pipe,” Phys. Fluids, 21(1), p. 014110. [CrossRef]
Sanmiguel-Rojas, E., Del Pino, C., and Gutiérrez-Montes, C., 2010, “Global Mode Analysis of a Pipe Flow Through a 1:2 Axisymmetric Sudden Expansion,” Phys. Fluids, 22(7), p. 071702. [CrossRef]
Hammad, K. J., 2013, “The Impact of Hemorheology on Wall Shear Stress in a Separated and Reattached Flow Region,” ASME Paper No. IMECE2013-62549. [CrossRef]


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Fig. 1

Shear stress versus shear rate for Newtonian and non-Newtonian fluids

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Fig. 2

Schematic of flow geometry and coordinate system for uniform and fd inflow conditions. (a) Uniform inflow and (b) Fully developed inflow.

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Fig. 3

Analytical and numerical fd velocity profiles in a pipe

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Fig. 4

Inflow velocity profiles for top-hat and pipe jets

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Fig. 5

Uniform inflow streamlines for S/R = 0.5. (a) HB, (b) PL, and (c) N.

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Fig. 6

Uniform inflow streamlines for S/R = 0.9. (a) HB, (b) PL, and (c) N.

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Fig. 7

Uniform inflow streamlines for S/R = 0.95. (a) HB, (b) PL, and (c) N.

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Fig. 8

fd inflow streamlines for S/R = 0.5. (a) HB, (b) PL, and (c) N.

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Fig. 9

fd inflow streamlines for S/R = 0.9. (a) HB, (b) PL, and (c) N.

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Fig. 10

fd inflow streamlines for S/R = 0.95. (a) HB, (b) PL, and (c) N.



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