Abstract
A numerical study has been carried out for the laminar flow of Newtonian and non-Newtonian power-law fluids through a suddenly expanded axisymmetric geometry. Mathematical correlations are proposed for the prediction of the length of the recirculating eddy in terms of Reynolds number, expansion ratio and rheological parameters. A wide range of expansion ratios ) has been covered for the Newtonian fluid and both the shear-thinning and shear-thickening flow characteristic fluids have been considered for the non-Newtonian fluids.
Issue Section:
Technical Brief
1.
Macagno
, O. E.
, and Hung
, T. K.
, 1967, “Computational and Experimental Study of Captive Annular Eddy
,” J. Fluid Mech.
0022-1120, 28
(1
), pp. 43
–64
.2.
Fletcher
, D.
, Maskel
, S.
, and Patrick
, M.
, 1985, “Heat and Mass Transfer Computations for Laminar Flow in an Axisymmetric Sudden Expansion
,” Comput. Fluids
0045-7930, 13
, pp. 207
–221
.3.
Back
, L.
, and Roshke
, E.
, 1972, “Shear Layer Regimes and Wave Instabilities and Reattachment Lengths Downstream of an Abrupt Circular Channel Expansion
,” ASME J. Appl. Mech.
0021-8936, 94
, pp. 677
–681
.4.
Badekas
, D.
, and Knight
, D. D.
, 1992, “Eddy Correlations for Laminar Axisymmetric Sudden Expansion Flows
,” ASME Trans. J. Fluids Eng.
0098-2202, 114
, pp. 119
–121
.5.
Halmos
, A. L.
, Boger
, D. V.
, and Cabelli
, A.
, 1975, “The Behaviour of a Power-law Fluid Flowing Through a Sudden Expansion, Part I: A Numerical Solution
,” AIChE J.
0001-1541, 21
, pp. 540
–549
.6.
Halmos
, A. L.
, Boger
, D. V.
, and Cabelli
, A.
, 1975, “The Behaviour of a Power-law Fluid Flowing Through a Sudden Expansion, Part II: Experimental Verification
,” AIChE J.
0001-1541, 21
, pp. 550
–553
.7.
Kahine
, K.
, Nguyen
, V. T.
, and Lebouché
, M.
, 1997, “Ecoulment de Fluides Non-Newtonians a Travers des Elargissements Brusques
,” Int. Commun. Heat Mass Transfer
0735-1933, 24
, pp. 1103
–1112
.8.
Nguyen
, V. T.
, Kahine
, K.
, and Lebouché
, M.
, 1999, “Étude Numérique de l’Écoulement de Fluides Non Newtoniens à Travers un Élargissement Brusque
,” Mécanique des Fluides∕Fluid Mechanics
, 327
śerie II b, 91
–94
.9.
Pinho
, F. T.
, Oliveira
, P. J.
, and Miranda
, J. P.
, 2003, “Pressure Losses in the Laminar Flow of Shear-Thinning Power-law Fluids Across a Sudden Axisymmetric Expansion
,” Int. J. Heat Fluid Flow
0142-727X, 24
, pp. 747
–761
.10.
Neofytou
, P.
, and Drikakis
, D.
, 2003, “Non-Newtonian Flow Instability in a Channel With a Sudden Expansion
,” J. Non-Newtonian Fluid Mech.
0377-0257, 111
, pp. 127
–150
.11.
Neofytou
, P.
, 2006, “Transition to Asymmetry of Generalized Newtonian Fluid Flows Through a Symmetric Sudden Expansion
,” J. Non-Newtonian Fluid Mech.
0377-0257, 133
, pp. 132
–140
.12.
Hirt
, C. W.
, and Cook
, J. L.
, 1972, “Calculating Three-Dimensional Flows Around Structures and Over Rough Terrain
,” J. Comput. Phys.
0021-9991, 10
, pp. 324
–341
.13.
Leonard
, B. P.
, 1976, “A Stable and Accurate Convective Modeling Procedure Based on Quadratic Upstream Interpolation
,” Comput. Methods Appl. Mech. Eng.
0045-7825, 19
, pp. 59
–98
.14.
Bird
, R. B.
, Stewart
, W. E.
, and Lightfoot
, E. N.
, 1960, Transport Phenomena
, Wiley
, New York
.15.
Nataf
, F.
, 1989, “An Open Boundary Condition for the Computation of the Steady Incompressible Navier–Stokes Equations
,” J. Comput. Phys.
0021-9991, 85
, pp. 104
–129
.16.
Hammad
, K. J.
, Vradis
, G. C.
, and Ötügen
, M. V.
, 2001, “Laminar Flow of a Herschel–Bulkeley Fluid Over an Axisymmetric Sudden Expansion
,” ASME Trans. J. Fluids Eng.
0098-2202, 123
, pp. 588
–594
.17.
Biswas
, G.
, Breuer
, M.
, and Durst
, F.
, 2004, “Backward-Facing Step Flows for Various Expansion Ratios at Low and Moderate Reynolds Numbers
,” ASME Trans. J. Fluids Eng.
0098-2202, 126
, pp. 362
–374
.Copyright © 2007
by American Society of Mechanical Engineers
You do not currently have access to this content.
