The hydrodynamic stability of the flow in a solid rocket motor is revisited using a general linear stability approach. A harmonic perturbation is introduced into the linearized Navier-Stokes equations leading to an eigenvalue problem posed as a system of partial differential equations with respect to the spatial coordinates. The system is discretized by a spectral collocation method applied to each spatial coordinate and the eigenvalues are determined using Arnoldi’s procedure. A special emphasis is placed on the boundary conditions. The main result is the discrete nature of the eigenvalue set. According to the present theory and the obtained results, only some discrete frequencies may exist in the motor (as eigenmodes). These frequencies only depend on the Reynolds number based on the injection velocity and the radius of the pipe flow. They are compared to measurements that have been performed at ONERA in one case with a cold-gas setup and in another case with a reduced scale live motor. Due to the agreement obtained with both experiments, the biglobal stability approach seems to offer new insight into the unresolved thrust oscillations problem.
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January 2006
Research Article|
January 12 2006
Biglobal linear stability analysis of the flow induced by wall injection
F. Chedevergne;
F. Chedevergne
a)
ONERA DMAE
, 2 av. Ed. Belin, BP. 4025, 31 055 Toulouse Cedex, France
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G. Casalis;
G. Casalis
b)
ONERA DMAE
, 2 av. Ed. Belin, BP. 4025, 31 055 Toulouse Cedex, France
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Th. Féraille
Th. Féraille
c)
ONERA DMAE
, 2 av. Ed. Belin, BP. 4025, 31 055 Toulouse Cedex, France
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a)
Electronic mail: [email protected]
b)
Electronic mail: [email protected]
c)
Electronic mail: [email protected]
Physics of Fluids 18, 014103 (2006)
Article history
Received:
April 19 2005
Accepted:
November 23 2005
Citation
F. Chedevergne, G. Casalis, Th. Féraille; Biglobal linear stability analysis of the flow induced by wall injection. Physics of Fluids 1 January 2006; 18 (1): 014103. https://doi.org/10.1063/1.2160524
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