Análise Numérica de um Liner Acústico de Múltiplas Cavidades na Presença de Escoamento Rasante pelo Método de Lattice-Boltzmann

Lattice-Boltzmann Numerical Investigation of a Realistic Multi-Cavity Acoustic Liner with Grazing Flow

Pereira, L. M. Laboratório de Vibrações e Acústica, Universidade Federal de Santa Catarina, Florianópolis, SC, Brasil, lucas.meirelles@lva.ufsc.br

Bonomo, L. A. Laboratório de Vibrações e Acústica, Universidade Federal de Santa Catarina, Florianópolis, SC, Brasil, lucas.bonomo@lva.ufsc.br

da Silva, A. R. Laboratório de Vibrações e Acústica, Universidade Federal de Santa Catarina, Florianópolis, SC, Brasil, andrey.rs@ufsc.br.

Cordioli, J. A. Laboratório de Vibrações e Acústica, Universidade Federal de Santa Catarina, Florianópolis, SC, Brasil, ulio.cordioli@ufsc.br.

Avallone, F. Departamento de Física e Tecnologia do Escoamento, Universidade Técnica de Delft, Delft, Países Baixos, f.avallone@tudelft.nl

Resumo

Simulações numéricas de grandes escalas utilizando o método de lattice-Boltzmann são realizadas para cálculo da impedância acústica de um liner de múltiplas cavidades de um grau de liberdade, na presença de escoamento rasante. Os resultados numéricos são comparados a dados experimentais, obtidos na bancada de testes de liners acústicos da Universidade Federal de Santa Catarina (UFSC), por três métodos diferentes: a técnica in-situ, o método do acoplamento modal e o algoritmo de Kumaresan-Tufts. Os experimentos e as simulações numéricas são conduzidos na ausência e na presença de escoamento rasante, de número de Mach máximo igual a 0.3, e com ondas sonoras planas tonais de incidência tangencial. Ondas sonoras de amplitudes iguais a 130 dB e 145 dB são consideradas. Para cada amplitude, seis frequências são investigadas no intervalo entre 800 Hz e 2300 Hz. Para cada caso, as ondas sonoras propagam na mesma direção do escoamento e contrários a ele. Os resultados numéricos mostram boa correlação com dados experimentais para o caso sem escoamento rasante. Na presença do escoamento, os resultados numéricos preliminares superestimam a resistência, com relação aos dados experimentais. Verifica-se que a utilização de um solver menos dissipativo para as simulações acústicas e que o refino da malha resultam em melhor concordância. Ainda assim, o modelo numérico prevê de forma satisfatória as diferentes tendências entre os métodos de cálculo de impedância. Os modelos apresentados, após ajustados e reavaliados com um solver menos dissipativo, serão utilizados para estudo das razões dos diferentes resultados obtidos para a impedância pelos diferentes métodos e esclarecimento da física de interação entre escoamento e onda sonora.

Palavras-chaves:

liner

impedância

lattice-Boltzmann

escoamento rasante.

Abstract

Scaled-resolved numerical simulations using the lattice-Boltzmann Very Large Eddy Simulation method are performed to compute the acoustic impedance of a realistic multi-cavity single degree of freedom liner grazed by a turbulent boundary layer. Numerical results are assessed against experimental impedance measurements carried out in grazing flow impedance test facility at the Federal University of Santa Catarina (UFSC), with three different approaches: the in-situ technique, the mode matching method and a Prony-like algorithm. Both experiments and numerical simulations are carried out with and without turbulent grazing flow at Mach number equal to 0.3 and with grazing acoustic tonal plane wave. Acoustic waves with amplitude equal to 130 dB and 145 dB are analyzed. For each amplitude, six frequencies are investigated in the range between 800 Hz and 2300 Hz. For each case, the acoustic wave propagates both in the same direction and opposite to the grazing turbulent flow. Numerical results show very good agreement with experimental data for the no-flow case. In the presence of grazing flow, preliminary numerical results show an overestimation of the resistance with respect to the experimental data. It has been found that using a less dissipative solver for the acoustic simulations and increasing the resolution lead to better agreement. Nevertheless, the numerical database predicts well the different trends between the impedance measurement methods. The presented database, after being recomputed with the less dissipative solver, will be used to understand the physical reasons behind the different impedance measurement results obtained with different eduction methods and clarify the physics of the flow-acoustic interaction.

Keywords:

liner

impedance

lattice-Boltzmann

grazing flow.

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