This study considers a combination of two well studied flows: the flow in a curved pipe and the flow in a straight pipe with a sudden expansion. Steady laminar flow of an incompressible fluid through an axisymmetric sudden expansion followed by a curved pipe was investigated numerically. The influence of the expansion ratio and the Reynolds number on the vortex pair in the bend and on the recirculating flow caused by the sudden expansion was studied. A correlation for the length of the recirculation flow was obtained.
Issue Section:
Fundamental Issues and Canonical Flows
References
1.
“
Human Anatomy and Physiology
,” http://humananatomyandphysiology.org2.
Berger
, S. A.
, Talbot
, L.
, and Yao
, L. S.
, 1983
, “Flow in Curved Pipes
,” Annu. Rev. Fluid Mech.
, 15
, pp. 461
–512
.3.
Siggers
, J. H.
, and Waters
, S. L.
, 2005
, “Steady Flows in Pipes With Finite Curvature
,” Phys. Fluids
, 17
(7
), p. 077102
.4.
Griffith
, M. D.
, Leweke
, T.
, Thompson
, M. C.
, and Hourigan
, K.
, 2013
, “Effect of Asymmetries on Axisymmetric Stenotic Flow
,” J. Fluid Mech.
, 721
, pp. R1-1–R1-11.5.
Feuerstein
, I. A.
, Pike
, G. K.
, and Round
, G. F.
, 1975
, “Flow in an Abrupt Expansion as a Model for Biological Mass Transfer Experiments
,” J. Biomech.
, 8
(1
), pp. 41
–51
.6.
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
.7.
Furuichi
, N.
, Takeda
, Y.
, and Kumada
, M.
, 2003
, “Spatial Structure of the Flow Through an Axisymmetric Sudden Expansion
,” Exp. Fluids
, 34
(5
), pp. 643
–650
.8.
Back
, L. H.
, and Roschke
, E. J.
, 1972
, “Shear-Layer Flow Regimes and Wave Instabilities and Reattachment Lengths Downstream of an Abrupt Circular Channel Expansion
,” ASME J. Appl. Mech.
, 39
(3
), pp. 667
–681
.9.
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
.10.
Macagno
, E. O.
, and Hung
, T. K.
, 1967
, “Computational and Experimental Study of a Captive Annular Eddy
,” J. Fluid Mech.
, 28
(1
), pp. 43
–64
.11.
Fletcher
, D. F.
, Maskell
, S. J.
, and Patrick
, M. A.
, 1985
, “Heat and Mass Transfer Computations for Laminar Flow in an Axisymmetric Sudden Expansion
,” Comput. Fluids
, 13
(2
), pp. 207
–221
.12.
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
.13.
Sanmiguel-Rojas
, E.
, del Pino
, C.
, and Gutiérrez-Montes
, C.
, 2010
, “Global Mode Analysis of a Pipe Flow Through 1:2 Axisymmetric Sudden Expansion
,” Phys. Fluids
, 22
(7
), p. 071702
.14.
Sanmiguel-Rojas
, 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
.15.
Khodaparast
, S.
, Borhani
, N.
, and Thome
, J. R.
, 2014
, “Sudden Expansions in Circular Microchannels: Flow Dynamics and Pressure Drop
,” Microfluid. Nanofluid.
, 17
(3
), pp. 561
–572
.16.
Frawley
, P.
, O'Mahony
, A. P.
, and Geron
, M.
, 2010
, “Comparison of Lagrangian and Eulerian Simulations of Slurry Flows in a Sudden Expansion
,” ASME J. Fluids Eng.
, 132
(9
), p. 091301
.17.
Austin
, L.
, 1971
, “The Development of Viscous Flow Within Helical Coils
,” Ph.D. thesis, University of Utah, Salt Lake City, UT.18.
Agrawal
, Y.
, Talbot
, L.
, and Gong
, K.
, 1978
, “Laser Anemometer Study of Flow Development in Curved Circular Pipes
,” J. Fluid Mech.
, 85
(3
), pp. 497
–518
.19.
Dennis
, S. C. R.
, and Ng
, M.
, 1982
, “Dual Solutions for Steady Laminar Flow Through a Curved Tube
,” Q. J. Mech. Appl. Math.
, 35
(30
), pp. 305
–324
.20.
Nandakumar
, K.
, and Masliyah
, J. H.
, 1982
, “Bifurcation in Steady Laminar Flow Through Curved Tubes
,” J. Fluid Mech.
, 119
, pp. 475
–490
.21.
Benjamin
, T. B.
, 1978
, “Bifurcation Phenomena in Steady Flows of a Viscous Fluid. I. Theory
,” Proc. R. Soc. London, Ser. A
, 359
(1696
), pp. 1
–26
.22.
Daskopoulos
, P.
, and Lenhoff
, A. M.
, 1989
, “Flow in Curved Ducts: Bifurcation Structure for Stationary Ducts
,” J. Fluid Mech.
, 203
, pp. 125
–148
.23.
Verkaik
, A. C.
, Beulen
, B. W. A. M. M.
, Bogaerds
, A. C. B.
, Rutten
, M. C. M.
, and van de Vosse
, F. N.
, 2009
, “Estimation of Volume Flow in Curved Pipes Based on Analytical and Computational Analysis of Axial Velocity Profiles
,” Phys. Fluids
, 21
(2
), p. 023602
.24.
Boshier
, F. A. T.
, and Mestel
, A. J.
, 2014
, “Extended Series Solutions and Bifurcations of the Dean Equations
,” J. Fluid Mech.
, 739
, pp. 179
–195
.25.
Cieślicki
, K.
, and Piechna
, A.
, 2012
, “Can the Dean Number Alone Characterize Flow Similarity in Differently Bent Tubes?
,” ASME J. Fluids Eng.
, 134
(5
), p. 051205
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