Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 56, 2010 - Issue 5
214
Views
22
CrossRef citations to date
0
Altmetric
Original Articles

New Formulation for Stress Calculation: Application to Viscoelastic Flow in a T-Junction

, &
Pages 351-371 | Received 27 Jan 2009, Accepted 28 Oct 2009, Published online: 11 Jan 2010

REFERENCES

  • P. J. Oliveira , F. T. Pinho , and G. A. Pinto , Numerical Simulation of Non-linear Flows with a General Collocated Finite-Volume Method , J. Non-Newtonian Fluid Mech. , vol. 79 , pp. 1 – 43 , 1998 .
  • P. J. Oliveira and F. T. Pinho , Numerical Procedure for the Computation of Fluid Flow with Arbitrary Stress-Strain Relationships , Numer. Heat Transfer B , vol. 35 , pp. 295 – 315 , 1999 .
  • C. M. Rhie and W. L. Chow , Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation, AIAA J. , vol. 21, pp. 1525–1532, 1983.
  • M. A. Alves , P. J. Oliveira , and F. T. Pinho , Benchmark Solutions for the Flow of Oldroyd-B and PTT Fluids in Planar Contractions , J. Non-Newtonian. Fluid Mech. , vol. 110 , pp. 45 – 75 , 2003 .
  • S. Majumdar , Role of Underrelaxation in Momentum Interpolation for Calculation of Flow with Nonstaggered Grids , Numer. Heat Transfer , vol. 13 , pp. 125 – 132 , 1988 .
  • T. F. Miller and F. W. Schmidt , Use of a Pressure-Weighted Interpolation Method for the Solution of the Incompressible Navier-Stokes Equations on a Nonstaggered Grid System , Numer. Heat Transfer , vol. 14 , pp. 213 – 233 , 1988 .
  • P. J. Oliveira , Computer Modelling of Multidimensional Multiphase Flow and Application to T-junctions, Ph.D. thesis , Imperial Collage, University of London , 1992 .
  • R. I. Issa and P. J. Oliveira , Numerical Prediction of Phase-Separation in Two-Phase Flow Through T-Junctions , Comput. Fluids , vol. 23 , pp. 347 – 372 , 1994 .
  • S. K. Choi , Note on the Use of Momentum Interpolation Method for Unsteady Flows , Numer. Heat Transfer A , vol. 36 , pp. 545 – 550 , 1999 .
  • W. Z. Shen , J. Michelsen , and J. N. Sorensen , Improved Rhie-Chow Interpolation for Unsteady Flow Computations , AIAA J. , vol. 39 , pp. 2406 – 2409 , 2001 .
  • B. Yu , Y. Kawaguchi , W.-Q. Tao , and H. Ozoe , Checkerboard Pressure Predictions due to the Underrelaxation Factor and Time Step Size for a Nonstaggered Grid with Momentum Interpolation Method , Numer. Heat Transfer B , vol. 41 , pp. 85 – 94 , 2002 .
  • C. Y. Gu , Computation of Flows with Large Body Forces , Proc. Numerical Methods in Laminar and Turbulent Flow , Pineridge Press , Swansea , UK , 1991 .
  • J. Mencinger and I. Zun , On the Finite Volume Discretization of Discontinuous Body Force Field on Collocated Grid: Application to VOF Method , J. Comput. Phys. , vol. 221 , pp. 524 – 538 , 2007 .
  • R. F. Kunz , B. W. Siebert , W. K. Cope , N. F. Foster , S. P. Antal , and S. M. Ettorre , A Coupled Phasic Exchange Algorithm for Three-Dimensional Multi-field Analysis of Heated Flows with Mass Transfer , Comput. Fluids , vol. 27 , pp. 741 – 768 , 1998 .
  • P. J. Oliveira and R. I. Issa , Numerical Aspects of an Algorithm for the Eulerian Simulation of Two-Phase Flows , Int. J. Numer. Meth. Fluids , vol. 43 , pp. 1177 – 1198 , 2003 .
  • D. Liepsch , S. Moravec , A. K. Rastogi , and N. S. Vlachos , Measurement and Calculations of Laminar Flow in a Ninety Degree Bifurcation , J. Biomech. , vol. 15 , pp. 473 – 485 , 1982 .
  • J. M. Khodadadi , N. S. Vlachos , D. Liepsch , and S. Moravec , LDA Measurements and Numerical Prediction of Pulsatile Laminar Flow in a 90-Degree Bifurcation , J. Biomech. Eng. , vol. 110 , pp. 129 – 136 , 1988 .
  • J. M. Khodadadi , Wall Pressure and Shear Stress Variations in a 90-Deg Bifurcation during Pulsatile Laminar Flow , J. Fluids Eng. , vol. 113 , pp. 111 – 115 , 1991 .
  • A. I. P. Miranda , P. J. Oliveira , and F. T. Pinho , Steady and Unsteady Laminar Flows of Newtonian and Generalized Newtonian Fluids in a Planar T-junction , Int. J. Numer. Meth, Fluids , vol. 57 , pp. 295 – 328 , 2007 .
  • R. G. Owens , A New Microstructure-Based Constitutive Model for Human Blood , J. Non-Newtonian Fluid Mech. , vol. 140 , pp. 57 – 70 , 2006 .
  • R. B. Bird , O. Hassager , R. C. Armstrong , and C. F. Curtiss , Dynamics of Polymeric Liquids: Kinetic Theory , vol. II , Wiley , New York , 1987 .
  • R. S. Salzar , M. J. Thubrikar , and R. T. Eppink , Pressure-Induced Mechanical Stress in the Carotid Artery Bifurcation: A Possible Correlation to Atherosclerosis , J. Biomech. , vol. 28 , pp. 1333 – 1340 , 1995 .
  • M. D. Chilcot and J. M. Rallison , Creeping Flow of Dilute Polymer Solutions Past Cylinders and Spheres , J. Non-Newtonian. Fluid Mech. , vol. 29 , pp. 381 – 432 , 1988 .
  • P. J. Coates , R. C. Armstrong , and R. A. Brown , Calculation of Steady State Viscoelastic Flow through Axisymmetric Contractions with the EEME Formulation, J. Non-Newtonian. Fluid Mech. , vol. 42, pp. 141–188, 1992.
  • S. V. Patankar , Numerical Heat Transfer and Fluid Flow , Hemisphere , New York , 1980 .
  • J. H. Ferziger and M. Peric , Computational Methods for Fluid Dynamics, , 3rd ed. , Springer-Verlag , Berlin , 2002 .
  • M. A. Alves , P. J. Oliveira , and F. T. Pinho , A Convergent and Universally Bounded Interpolation Scheme for the Treatment of Advection , Int. J. Numer. Meth. Fluids , vol. 41 , pp. 47 – 75 , 2003 .
  • J. P. Van Doormaal and G. D. Raithby , Enhancements of the SIMPLE Method for Predicting Incompressible Fluid Flows , Numer. Heat Transfer , vol. 7 , pp. 147 – 163 , 1984 .
  • B. Yu , W.-Q. Tao , J.-J. Wei , Y. Kawaguchi , T. Tagawa , and H. Ozoe , Discussion on Momentum Interpolation Method for Collocated Grids of Incompressible Flow , Numer. Heat Transfer B , vol. 42 , pp. 141 – 166 , 2002 .
  • W. Z. Shen , J. A. Michelsen , N. N. Sørensen , and J. Nørkær Sørensen , An Improved Simplec Method on Collocated Grids for Steady and Unsteady Flow Computations , Numer. Heat Transfer B , vol. 43 , pp. 221 – 239 , 2003 .
  • P. Townsend and K. Walters , Expansion Flows of Non-Newtonian Liquids , Chem. Eng. Sci. , vol. 49 , pp. 749 – 763 , 1994 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.