Linear response analysis and hydrodynamic transfer function of a reacting swirling jet
ORAL
Abstract
This presentation explores the linear hydrodynamic response of reacting swirling jets. The framework for this study is an analysis of the linearized reacting Navier-Stokes equations. The base flow for this analysis is a single modeled swirling jet. The homogeneous solution is calculated to explore the intrinsic instability characteristics, and then a linear response analysis algorithm is built to approximate the response to the additional non-linear terms of the inhomogeneous form. The numerical methods of this paper focus on discretization of the Navier-Stokes equations and applying boundary conditions for a specified geometry to obtain a weak variational form that can be solved using Taylor-Hood finite elements. The result of the analysis is a transfer function for the hydrodynamic amplification of external excitations. Together with this transfer function, the analysis elucidates the spatial structure of the flow’s externally excited coherent structures.
*This research was funded by the U.S. Federal Aviation Administration Office of Environment and Energy through ASCENT, the FAA Center of Excellence for Alternative Jet Fuels and the Environment, Project 55 through FAA Award Number 13-C-AJFE-GIT-058 under the supervision of Roxanna Moores. Any opinions, findings, conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the FAA.
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Presenters
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Parth Patki
- Georgia Institute of Technology