Transmission in Flow Ducts with Peripherally Varying Linings

R. Jeremy Astley; Noel Walkington; Walter Eversman

doi:10.2514/6.1980-1015

Transmission in Flow Ducts with Peripherally Varying Linings

R. Jeremy Astley
, Noel Walkington
, Walter Eversman

Missouri University of Science and Technology

Research output: Contribution to journal › Article › peer-review

Abstract

A finite element Galerkin formulation is used for the calculation of acoustical modes in uniform ducts with arbitrary geometry, mean flow and lining configuration. Hermitian “non-conforming” subparametric elements are used and the dimensionality of the resulting eigenmatrix is reduced by the use of a condensation scheme based on the compatible eigenvectors in the case with no mean flow. Results are presented for simple circular and rectangular configurations for which exact comparison results are readily calculable. Computer graphics routines required to interpret modal data are described and sample results shown.

Original language	American English
Journal	AIAA Paper
DOIs	https://doi.org/10.2514/6.1980-1015
State	Published - Jan 1 1980

Disciplines

Aerospace Engineering
Mechanical Engineering

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https://doi.org/10.2514/6.1980-1015

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title = "Transmission in Flow Ducts with Peripherally Varying Linings",

abstract = " A finite element Galerkin formulation is used for the calculation of acoustical modes in uniform ducts with arbitrary geometry, mean flow and lining configuration. Hermitian “non-conforming” subparametric elements are used and the dimensionality of the resulting eigenmatrix is reduced by the use of a condensation scheme based on the compatible eigenvectors in the case with no mean flow. Results are presented for simple circular and rectangular configurations for which exact comparison results are readily calculable. Computer graphics routines required to interpret modal data are described and sample results shown.",

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AU - Astley, R. Jeremy

AU - Walkington, Noel

AU - Eversman, Walter

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N2 - A finite element Galerkin formulation is used for the calculation of acoustical modes in uniform ducts with arbitrary geometry, mean flow and lining configuration. Hermitian “non-conforming” subparametric elements are used and the dimensionality of the resulting eigenmatrix is reduced by the use of a condensation scheme based on the compatible eigenvectors in the case with no mean flow. Results are presented for simple circular and rectangular configurations for which exact comparison results are readily calculable. Computer graphics routines required to interpret modal data are described and sample results shown.

AB - A finite element Galerkin formulation is used for the calculation of acoustical modes in uniform ducts with arbitrary geometry, mean flow and lining configuration. Hermitian “non-conforming” subparametric elements are used and the dimensionality of the resulting eigenmatrix is reduced by the use of a condensation scheme based on the compatible eigenvectors in the case with no mean flow. Results are presented for simple circular and rectangular configurations for which exact comparison results are readily calculable. Computer graphics routines required to interpret modal data are described and sample results shown.

UR - https://scholarsmine.mst.edu/mec_aereng_facwork/1905

UR - https://doi.org/10.2514/6.1980-1015

U2 - 10.2514/6.1980-1015

DO - 10.2514/6.1980-1015

M3 - Article

JO - AIAA Paper

JF - AIAA Paper

ER -

Transmission in Flow Ducts with Peripherally Varying Linings

Abstract

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