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Hybrid Methods in Engineering

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

Archives: Volume 1, 1999 to Volume 4, 2002

Hybrid Methods in Engineering

DOI: 10.1615/HybMethEng.v2.i4.50
14 pages

SOLUTION OF THE REYNOLDS-AVERAGED EQUATIONS FOR TURBULENT FLOW VIA INTEGRAL TRANSFORM AND ALGEBRAIC TURBULENCE MODEL

J. A. Lima
Solar Energy Laboratory — LES, Universidade Federal da Paraiba-UFPB, 58059-900 -Joao Pessoa, PB, Brazil
C. A. C. Santos
Universidade Federal da Paraiba, Laboratorio de Energia Solar (LES/DTM/CT/UFPB), Brazil
Luiz C. G. Pimentel
LAMMA/Dpto. Meteorologia, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil

ABSTRAKT

The Generalized Integral Transform Technique (GITT) is used in the hybrid numerical-analytical solution of the Reynolds-averaged boundary layer equations for developing turbulent flow inside a parallel-plates channel. An algebraic turbulence model, a modified version of the local Van Driest effective viscosity model, is employed in modeling the turbulent diffusivity. The streamfunction-only formulation is solved by an eigenfunction expansion obtained from the homogeneous biharmonic problem associated with the original problem. Therefore, following the ideas in previous contributions to GITT, numerical results for different Reynolds numbers are obtained, both for illustrating the convergence characteristics of the integral transform approach and for critical comparisons with previously reported results obtained through different models and numerical schemes.


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