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TECHNICAL PAPERS

Variation of Wall Shear Stress and Periodic Oscillations Induced in the Right-Angle Branch During Laminar Steady Flow

[+] Author and Article Information
Ryuhei Yamaguchi, Hideaki Amagai

Department of Mechanical Engineering, Shibaura Institute of Technology

Takeshi Mashima

Imabari Ship Building Co., Ltd.

Hisashi Fujii

Department of Electrical System for Urban Engineering, Shibaura Institute of Technology

Toshiyuki Hayase

Institute of Fluid Science, Tohoku University

Kazuo Tanishita

Department of System Design Engineering, Keio University

J. Fluids Eng 127(5), 1013-1020 (Sep 19, 2005) (8 pages) doi:10.1115/1.1852480 History: Received March 10, 2003; Revised August 17, 2004; Online September 19, 2005
Copyright © 2005 by ASME
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References

Oki,  I., and Kawaguchi,  T., 1951, “On the Losses of Head Due to Branch Pipes,” Trans. Jpn. Soc. Mech. Eng., 17(60), pp. 146–151 (in Japanese).
Lighthill,  M. J., 1972, “Physiological Fluid Dynamics,” J. Fluid Mech., 52, pp. 475–497.
Houle,  S., and Roach,  M. R., 1981, “Flow Studies in a Rigid Model of an Aorta-Renal Junction: A Case for High Shear as a Cause of the Localization of Sudanophilic Lesions in Rabbits,” Atherosclerosis, 40, pp. 231–244.
Yamaguchi,  T., Hanai,  S., Oyama,  T., Mitsumata,  M., and Yoshida,  Y., 1986, “Effect of Blood Flow on the Localization of Fibrocellular Intimal Thickening and Atherosclerosis at the Young Human Abdominal Aorta-Inferior Mesenteric Artery Branching,” Rece. Adv. Cardiovasc. Dis.,7, pp. 97–108 (in Japanese).
Yamamoto,  T., Tanaka,  H., Jones,  C. J. H., Lever,  M. J., Parker,  K. H., Kimura,  A., Hiramatsu,  O., Ogasawara,  Y., Tsujioka,  K., Caro,  C. C. G., and Kajiya,  F., 1992, “Blood Velocity Profiles in the Origin of the Canine Renal Artery and Their Relevance in the Localization and Development of Atherosclerosis,” Arterioscler. Thromb., 12, pp. 626–632.
Yamaguchi,  R., and Kohtoh,  K., 1994, “Sinusoidal Variation of Wall Shear Stress in Daughter Tube Through 45 Deg Branch Model in Laminar Flow,” ASME J. Biomech. Eng., 116, pp. 119–126.
Karino,  T., Kwong,  H. H. M., and Goldsmith,  H. L., 1979, “Particle Flow Behavior in Models of Branching Vessels: I. Vortices in 90° T-Junctions,” Biorheology, 16, pp. 231–248.
Liepsch,  D., Poll,  A., Strigberger,  J., Sabbah,  H. N., and Stein,  P. D., 1989, “Flow Visualization Studies in a Mold of the Normal Human Aorta and Renal Arteries,” ASME J. Biomech. Eng., 111, pp. 222–227.
Hirose,  T., Tanabe,  A., and Tanishita,  K., 1992, “Fluid Flow and Wall Shear Stress Profiles in Model Branch of Abdominal Aorta,” Biomechanism,11, pp. 99–109 (in Japanese).
Perktold,  K., and Peter,  R., 1990, “Numerical 3D-Simulation of Pulsatile Wall Shear Stress in an Arterial T-Bifurcation Model,” J. Biomed. Eng., 12, pp. 2–12.
Yung,  C. N., De Witt,  K. J., and Keith,  T. G., 1990, “Three-Dimensional Steady Flow Through a Bifurcation,” ASME J. Biomech. Eng., 112, pp. 189–197.
Kastner,  W., and Riedle,  K., 1986, “Empirical Model for the Calculation of Material Losses due to Corrosion Erosion,” VGB Kraftwerkstechnik,66(12), pp. 1023–1029.
Yamaguchi, R., Mashima, T., and Takahashi, Y., 1997, “Separated Secondary Flow and Wall Shear Stress in Side Branch of Right Angle Branch,” ASME FEDSM’97, #3303.
Yamaguchi, R., Shigeta, M., Kudo, S., and Hayase, T. Y., 2000, “Wall Shear Stress and Periodical Oscillation Induced in Side Branch at Right Angle Branch in Laminar Steady Flow,” ASME FEDSM’00, #11085.

Figures

Grahic Jump Location
System schematic of right-angle branch and typical measurement sections (typical case, RS=7 mm)
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Axial velocity profile at common median plane (ReT=800,RS=7 mm). (a) QS/QT=0.25., (b) QS/QT=0.50.
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Flow visualization at common median plane (ReT=800,RS=7 mm). (a) QS/QT=0.25., (b) QS/QT=0.50.
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Flow visualization and sketch of secondary flow at cross section in side-branch (ReT=800,QS/QT=0.50,RS=7 mm)
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Distribution of wall shear stress (ReT=800,RS=7 mm). (a) QS/QT=0.25. (b) QS/QT=0.50.
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Time variation of axial velocity along tube axis (ReT=800,RS=7 mm). (a) Section T1. (b) QS/QT=0.25, section S7, (c) QS/QT=0.33, section S7, (d) QS/QT=0.50, section S7.
Grahic Jump Location
Power spectrum of axial velocity along tube axis (ReT=800,RS=7 mm). (a) Section T1, (b) QS/QT=0.25, section S7, (c) QS/QT=0.33, section S7, (d) QS/QT=0.50, section S7.
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Location with periodic oscillation (ReT=800,QS/QT=0.50,RS=7 mm). The upper semicircle represents the transverse velocity contours and the lower semicircle represents the axial velocity contours. (a) section S3, (b) section S7.
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Trunk Strouhal number, StT, versus trunk Reynolds number, ReT(RS=7 mm)
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Side-branch Strouhal number, St, versus side-branch Reynolds number, Re (RS=7 mm)
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Power spectrum of axial velocity along tube axis (ReT=800,QS/QT=0.50). (a) RS=4 mm, (b) RS=5 mm, (c) RS=6 mm, (d) RS=9 mm.
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Side-branch Strouhal number, St, versus side-branch Reynolds number Re for several radii of the side-branch
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Secondary velocity vectors (upper semicircle) and axial velocity contours (lower semicircle) in section S3 in the side-branch (ReT=800,QS/QT=0.50,RS=7 mm)

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