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Hybrid Methods in Engineering

ISSN Imprimir: 1099-2391
ISSN On-line: 2641-7359

Archives: Volume 1, 1999 to Volume 4, 2002

Hybrid Methods in Engineering

DOI: 10.1615/HybMethEng.v3.i2-3.60
16 pages

HYDRODYNAMICALLY DEVELOPED LAMINAR FLOW OF NON-NEWTONIAN FLUIDS INSIDE DOUBLE-SINE DUCTS

Cléber Lisboa Chaves
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
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
L. M. Pereira
Research and Development Institute - IP&D, Universidade do Vale do Paraiba-UNIVAP, Av. Shishima Hifume, 2911, Urbanova 12244-000 -Sao Jose dos Campos, SP, Brazil
J. A. Lima
Solar Energy Laboratory — LES, Universidade Federal da Paraiba-UFPB, 58059-900 -Joao Pessoa, PB, Brazil

RESUMO

The aim of the present study was both to research and to employ a hybrid numerical—analytical solution based on the so-called generalized integral transform technique (GITT) in the solution of fully developed laminar flow of purely viscous non-Newtonian fluids that follow the power-law rheological model, inside double-sine ducts. The automatic and straightforward global error control procedure features inherent to this approach provide the determination of fully converged benchmark results to assess the performance of purely numerical techniques. Therefore, numerical results for the product of the Fanning friction factor—Reynolds number were produced for different values of power-law indices and aspect ratios, which were compared with previously reported results in the literature, providing critical comparisons among them and illustrating the powerfulness of the integral transform approach.


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