Eventos Anais de eventos
ENCIT 2018
Brazilian Congress of Thermal Sciences and Engineering
Fractional calculus applied to linear thermoacoustics: A generalization of Rott’s model
Submission Author:
Carlos Alberto Valentim Jr. , SP
Co-Authors:
Carlos Alberto Valentim Jr., Flávio Bannwart, Sergio A. David
Presenter: Carlos Alberto Valentim Jr.
doi://10.26678/ABCM.ENCIT2018.CIT18-0447
Abstract
Thermoacoustic engines are often investigated as viable alternatives for energy regeneration. The most widely used analytical model for pressure wave propagation in thermoacoustic devices is the second order linear model developed by Nikolaus Rott. In this work, we propose a generalization of Rott's equation under the regard of fractional order calculus; we also propose a solution for this generalized equation for a specific domain. Simulations of thermoacoustic engines verify this solution and indicate potential advantages of a continuously variable order, adjustable with experimental data, as it may cover nonlinearities and effects of geometrical complexities present in test rigs. Therefore, the resulting model may better fit real systems, which leads to more accurate designing.
Keywords
fractional calculus, thermoacoustics, energy regeneration
