Masters Theses


"Analysis of acoustic scattering in ducts of continuously varying cross section, when compressible potential flow is passed through it, is of importance in many applications. It is the purpose of this study to develop the circular duct and the one dimensional finite element models for different ducts and to study their relative acoustic scattering characteristics.

Both finite element models are developed using similar formulation techniques. The equations of motion for circular duct model are re-formulated for the one dimensional model to take the local area into account. A velocity potential formulation is used. The code developed for evaluating the velocity potential for both models uses an LU decomposition linear equation solver. A convergence test is designed for the iterative solution of the flow code to get a user-defined level of accuracy between successive iterations.

The sound source at the source plane for both models is taken as a combination of positive and negative propagating modes (in the one dimensional model, however, there is only one positive and negative propagating mode). A hybrid finite element technique is developed which has modal degrees of freedom for the nodes located at the source and the exit planes and nodal degrees of freedom at the interior nodes.

The range of validity of results, in terms of the power transmission coefficient, is determined for one dimensional model and compared to the circular duct model for different duct profiles, their contraction ratios, steady flow mach numbers and for a range of source frequency spanning from plane wave to multi-mode propagation. Both models are compared with an established approximate analytical solution to determine their correctness"--Abstract, page iii.


Eversman, Walter

Committee Member(s)

Grow, David E.
Avula, Xavier J. R.


Mechanical and Aerospace Engineering

Degree Name

M.S. in Mechanical Engineering


This investigation was partially funded by Fisher Controls Ltd.


University of Missouri--Rolla

Publication Date

Spring 2000


xv, 120 pages

Note about bibliography

Includes bibliographical references (pages 118-119).


© 2000 Gurpreet Singh Narula, All rights reserved.

Document Type

Thesis - Restricted Access

File Type




Thesis Number

T 7675

Print OCLC #


Electronic OCLC #


Link to Catalog Record

Electronic access to the full-text of this document is restricted to Missouri S&T users. Otherwise, request this publication directly from Missouri S&T Library or contact your local library.

Share My Thesis If you are the author of this work and would like to grant permission to make it openly accessible to all, please click the button above.