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S15 Métodos Híbridos em Engenharia Mecânica |
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Title:
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SOLUTION OF THE REYNOLDS-AVERAGED EQUATIONS FOR TURBULENT FLOW VIA INTEGRAL TRANSFORM AND ALGEBRAIC TURBULENCE MODEL
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Summary :
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ABSTRACT. THE GENERALIZED INTEGRAL TRANSFORM TECHNIQUE (GITT) IS UTILIZED 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 MODELLING THE TURBULENT DIFFUSIVITY. THE STREAMFUNCTION-ONLY FORMULATION IS UTILIZED, BEING SOLVED BY AN EIGENFUNCTIONS EXPANSION OBTAINED FROM THE HOMOGENEOUS BI-HARMONIC PROBLEM, ASSOCIATED TO THE ORIGINAL PROBLEM. THEREFORE, FOLLOWING THE IDEAS IN PREVIOUS CONTRIBUTIONS TO GITT, NUMERICAL RESULTS FOR DIFFERENT REYNOLDS NUMBER ARE OBTAINED, BOTH FOR ILLUSTRATING THE CONVERGENCE CHARACTERISTICS OF THE INTEGRAL TRANSFORM APPROACH, AND FOR CRITICAL COMPARISONS WITH PREVIOUSLY REPORTED RESULTS THROUGH DIFFERENT MODELS AND NUMERICAL SCHEMES.
KEYWORDS: TURBULENT CHANNEL FLOW, ALGEBRAIC MODEL, INTEGRAL TRANSFORM |
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Author :
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Lima, João Alves
Pimentel, Luis Cláudio Gomes
Santos, Carlos Antônio Cabral
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Paper View :
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