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Hybrid Methods in Engineering

ISSN Print: 1099-2391
ISSN Online: 2641-7359

Archives: Volume 1, 1999 to Volume 4, 2002

Hybrid Methods in Engineering

DOI: 10.1615/HybMethEng.v2.i1.10
13 pages

A TURBULENCE MODEL FOR COMPUTING THE FLOW OF POWER-LAW FLUIDS WITHIN CIRCULAR TUBES

D. O. A. Cruz
Mechanical Engineering Department, Federal University of Rio de Janeiro, Av. Moniz de Aragao 420, 21945-972 Rio de Janeiro, Brazil
C. E. Maneschy
Mechanical Engineering Department, Universidade Federal do Para—UFPA, Campus Universitdrio do Guamd, Belem, Parti, Brasil
Emanuel N. Macedo
Mechanical Engineering Department, Chemical Engineering Department, Universidade Federal do Para-UFPA, Campus Universitario do Guama, RuaAugusto Correa, 01, 66075-900 -Belem, PA, Brazil
Joao N. N. Quaresma
School of Chemical Engineering, Universidade Federal do Para, FEQ/UFPA, Campus Universitario do Guama, 66075-110, Belem, PA, Brazil

ABSTRACT

The purpose of this work is to analyze the problem of the turbulence modeling of non-Newtonian fluids. First, the Kolmogorov characteristic parameters for the case of power-law fluids is obtained. The characteristic dissipation length is showed to be a function of the power-law index (n) and reduces to the Newtonian case when n = l. In addition, an algebraic turbulence model is proposed, in which an extension of the Van Driest damping function for power-law fluids is developed. A numerical solution to the hydrodynamically developed turbulent equation of motion flow in circular tubes is obtained. Comparisons with experimental data and with those from an empirical correlation for turbulent flow of non-Newtonian power-law fluids are made, showing good agreement.


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