Abstract
The problem of sound propagation in shear flow with temperature gradient in a rectangular duct is studied by a finite‐element method. The formulation leads to an eigensystem containing both symmetric and nonsymmetric matrices. A subset of eigenvalues and their corresponding eigenvectors is extracted from this eigensystem by means of a very efficient Block–Stodola iterative technique. Applications of this methodology to various flow problems are presented and comparison of the present results with those of other investigators are made. The present methodology is shown to be computationally economical, accurate, and sufficiently versatile to treat a wide range of duct flow problems.
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