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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| 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: | 04 Mar 2022 05:25 | ||||
| URI: | http://raiithold.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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