A finite element formulation of the eigenvalue problem in lined ducts with flow

Astley, R.J. and Eversman, W. (1979) A finite element formulation of the eigenvalue problem in lined ducts with flow. Journal of Sound and Vibration, 65, (1), 61-74. (doi:10.1016/0022-460X(79)90528-5).


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A finite element method is used to formulate the eigenvalue problem for a lined duct with flow. Either two dimensional or axially symmetric ducts with sheared flows can be studied, although the examples cited are two dimensional. The primitive variables of velocity and pressure are used with quadratic shape functions in each element. Results indicate that a useful level of accuracy can be achieved with a modest number of elements. Spurious eigenvalues, easily identified by obviously inconsistent eigenvectors, occur in certain instances. If the number of elements is not too small, these spurious modes are among the higher order eigenvalues of otherwise questionable accuracy. The possibility of using higher order elements which have slope continuity is proposed for future investigations to eliminate the spurious results.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1016/0022-460X(79)90528-5
ISSNs: 0022-460X (print)
1095-8568 (electronic)
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Q Science > QC Physics
Divisions : University Structure - Pre August 2011 > Institute of Sound and Vibration Research > Fluid Dynamics and Acoustics
ePrint ID: 166459
Accepted Date and Publication Date:
8 July 1979Published
Date Deposited: 29 Oct 2010 10:15
Last Modified: 31 Mar 2016 13:30
URI: http://eprints.soton.ac.uk/id/eprint/166459

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