Galerkin Approximations for Thermoacoustic Instability in a Rijke's Tube

Kandala, Shanti Swaroop and Maduri, Abhivamshi and Vyasarayani, C P (2017) Galerkin Approximations for Thermoacoustic Instability in a Rijke's Tube. Procedia IUTAM, 22. pp. 168-175. ISSN 2210-9838

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Abstract

A simple mathematical model for thermoacoustic instability (TAI) in a Rijke's tube results in a first-order neutral delay differential equation (NDDE). In this work, the NDDE governing the TAI is converted to a partial differential equation (PDE) and then into a system of ordinary differential equations (ODEs) using Galerkin approximations. A new pseudo inverse method, is proposed to handle the boundary conditions in the Galerkin method. The stability results obtained using our method are validated using the data from the literature.

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IITH Creators:
IITH CreatorsORCiD
Vyasarayani, C Phttp://orcid.org/0000-0002-3396-0484
Item Type: Article
Uncontrolled Keywords: Thermo-acoustic instability; Neutral delay differential equations; Rijke tube; Pseudo-inverse method; Galerkin approximations
Subjects: Physics > Mechanical and aerospace
Divisions: Department of Mechanical & Aerospace Engineering
Depositing User: Team Library
Date Deposited: 05 Sep 2017 07:33
Last Modified: 05 Sep 2017 07:33
URI: http://raiith.iith.ac.in/id/eprint/3520
Publisher URL: https://doi.org/10.1016/j.piutam.2017.08.023
OA policy: http://www.sherpa.ac.uk/romeo/issn/2210-9838/
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