Simulation of Incompressible Non-Newtonian Flows Through Channels with Sudden Expansion Using the Power-Law Model

Authors

  • R. Manica
  • A.L. de Bortoli

DOI:

https://doi.org/10.5540/tema.2003.04.03.0333

Abstract

The goal of this work is to analyze incompressible Newtonian and non-Newtonian flows through channels with sudden expansion. The governing equations are solved using the finite-differences explicit Runge-Kutta time-stepping scheme in nondimensionalized form in which continuity and momentum are solved simultaneously along the grid points. The power-law model is applied to predict pseudoplastic (shear-thinning) and dilatant (shear-thickening) behavior in such expansions. The critical Reynolds number, in which the solution becomes asymmetric, is analyzed. Numerical results for a 3 : 1 expansion show good agreement with other numerical tests found in the literature for Reynolds numbers ranging from 40 to 140 for Newtonian flow. For the non-Newtonian case, a comparison with an analytical solution is presented.

References

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Published

2003-06-01

How to Cite

Manica, R., & de Bortoli, A. (2003). Simulation of Incompressible Non-Newtonian Flows Through Channels with Sudden Expansion Using the Power-Law Model. Trends in Computational and Applied Mathematics, 4(3), 333–340. https://doi.org/10.5540/tema.2003.04.03.0333

Issue

Vol. 4 No. 3 (2003)

Section

Original Article

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