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Theoretical model for coupled dual impinging jet aeroacoustic resonance

Spencer L. Stahl* and Datta Gaitonde†

Vikas N. Bhargav‡ and Farrukh S. Alvi§

  • Mechanical and Aerospace Engineering, The Ohio State University, Columbus, Ohio 43210, USA

  • Department of Mechanical Engineering, Florida State University, Tallahassee, Florida 32310, USA

  • *stahl.174@osu.edu
  • †gaitonde.3@osu.edu
  • ‡vn16d@my.fsu.edu
  • §falvi@fsu.edu
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Phys. Rev. Fluids 7, 104606 – Published 14 October, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.104606

Abstract

A theoretical model is constructed to understand and predict the aeroacoustic feedback coupling of dual impinging jet (DIJ) configurations of the type encountered in supersonic vertical takeoff and landing aircraft. The proposed model extends the single impinging jet (SIJ) framework of Powell, which derives impinging tone frequencies from the speeds of downstream convecting features and upstream propagating acoustic waves generated by periodic ground impingement. The SIJ feedback mechanism dominates each jet, but fails to predict anomalous changes in acoustic characteristics due to the proximal second jet. The new DIJ model eliminates this shortcoming by introducing a third, acoustically coupled DIJ global feedback loop that augments the two individual SIJ loops. It is shown that the two principal length parameters, nozzle to ground (H) and internozzle separation (S) distances, can foster a synchronized coresonance condition in which the coupled global feedback loop interacts with preferred individual SIJ feedback modes. The occurrence of this coupled dynamic state is quantified by a coresonance factor RDIJ, a metric from 0 to 1 that relates all three feedback loops in the DIJ system. We focus on a configuration where the coupling is primarily acoustic in nature, specifically, two identical underexpanded Mach 1.27 jets. Experimental and numerical simulations are used to calibrate the model inputs at select points in the parameter space, and predictions from the model are then shown to be generally applicable by comparisons with acoustic measurements at other conditions. In particular, the model successfully predicts the damping or amplification of SIJ impinging tones due to the influence of the second jet, as well as overall sound pressure level trends as a function of impingement height.

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Outline

Information

Phys. Rev. Fluids 7, 104606– Published 14 October, 2022
  • Received 14 April 2022
  • Accepted 29 September 2022
Article part of CHORUS
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