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TECHNICAL PAPERS

Laminar Flow of a Herschel-Bulkley Fluid Over an Axisymmetric Sudden Expansion

[+] Author and Article Information
Khaled J. Hammad, George C. Vradis, M. Volkan Ötügen

  Mechanical, Aerospace and Manufacturing Engineering, Polytechnic University, Six Metrotech Center, Brooklyn, NY 11201

J. Fluids Eng 123(3), 588-594 (Mar 05, 2001) (7 pages) doi:10.1115/1.1378023 History: Received April 01, 1999; Revised March 05, 2001
Copyright © 2001 by ASME
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References

Feurstein,  I. A., Pike,  G. K., and Rounds,  G. F., 1975, “Flow in an abrupt expansion as a model for biological mass transfer experiments,” J. Biomech., 8, pp. 41–51.
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Badekas,  D., and Knight,  D. D., 1992, “Eddy correlations for laminar axisymmetric sudden expansion flows,” ASME J. Fluids Eng., 114, pp. 119–121.
Halmos,  A. L., Boger,  D. V., and Cabelli,  A., 1975, “The Behavior of a Power-Law Fluid Flowing Through a Sudden Expansion: Part I. A Numerical Solution,” AIChE J., 21, No. 3, pp. 540–549.
Ponthieux,  G., Devienne,  R., and Lebouche,  M., 1992, “Energy losses associated with sudden expansions and conical divergents for different pseudoplastic fluids,” Eur. J. Mech., B/Fluids, 11, No. 6.
Scott,  P. S. and Mizra,  F., 1988, “Finite-Element Simulation of Laminar Viscoplastic Flows With Regions of Recirculation,” J. Rheol., 32, pp. 387–400.
Vradis,  G. C., and Ötügen,  M. V., 1997, “The Axisymmetric Sudden Expansion Flow of a Non-Newtonian Viscoplastic Fluid,” ASME J. Fluids Eng., 119, pp. 193–200.
Hammad,  K. J., Ötügen,  M. V., Vradis,  G., and Arik,  E., 1999, “Laminar Flow of a Nonlinear Viscoplastic Fluid Through an Axisymmetric Sudden Expansion,” ASME J. Fluids Eng., 121, pp. 488–495.
Hammad, K. J., 1997, “Experimental and Computational Study of Laminar Axisymmetric Recirculating Flows of Newtonian and Viscoplastic Non-Newtonian Fluids,” Ph.D. dissertation, Polytechnic University, New York.
Vradis,  G., and Hammad,  K. J., 1998, “Strongly Coupled Block-Implicit Solution Technique for Non-Newtonian Convective Heat Transfer Problems,” Numer. Heat Transfer, Part B, 33, pp. 79–97.
O’Donovan,  E. J., and Tanner,  R. I., 1984, “Numerical Study of the Bingham Squeeze Film Problem,” J. Non-Newtonian Fluid Mech., 15, pp. 75–83.
Beverly,  C. R., and Tanner,  R. I., 1992, “Numerical Analysis of Three-Dimensional Bingham Plastic Flow,” J. Non-Newtonian Fluid Mech., 42, pp. 85–113.
Lipscomb,  G. G., and Denn,  M. M., 1984, “Flow of a Bingham Fluid in Complex Geometries,” J. Non-Newtonian Fluid Mech., 14, pp. 337–346.
Halmos,  A. L., Boger,  D. V., and Cabelli,  A., 1975, “The Behavior of a Power-Law Fluid Flowing Through a Sudden Expansion: Part II. Experimental Verification,” AIChE J., 21, No. 3, pp. 550–553.

Figures

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Convergence history for Y=0, 1; n=0.6,1
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Schematic of the confined flow geometry and the boundary conditions
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Centerline velocity evolution for two sets of grids
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Inlet velocity profiles for Y=0, .5, 1, 2; n=.6, .8, 1, 1.2
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Effective viscosity contours for Y=1 and (a) Re=50,n=1; (b) Re=100,n=1; (c) Re=100,n=0.6
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Effective viscosity contours for Y=2 and (a) Re=50,n=1; (b) Re=100,n=1; (c) Re=100,n=0.6
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Reattachment length versus yield number at n=0.6, 0.8, 1 and 1.2 for (a) Re=50; (b) Re=100; (c) Re=200
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Reattachment length versus Reynolds number for a Newtonian fluid: a comparison between present computations and available experimental results
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Relative eddy intensity versus yield number at n=0.6, 0.8, 1 and 1.2 for (a) Re=50; (b) Re=100; (c) Re=200
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Centerline velocity evolution at Re=100,n=0.6, 0.8, 1 and 1.2 for (a) Y=0; (b) Y=1; (c) Y=2
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Redevelopment length versus yield number at n=0.6, 0.8, 1 and 1.2 for (a) Re=50; (b) Re=100; (c) Re=200

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