In this work, we present a method for analyzing and computing the rates of change of eigenvalues with respect A method for analysis and computation of derivatives and extremum points of variable-coefficients differential eigenvalue probto differential-eigenvalue-problem parameters as well as lems is
Direct Computation of Boundary-Layer Stability Characteristics
โ Scribed by J.A. Masad; M.R. Malik
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 424 KB
- Volume
- 117
- Category
- Article
- ISSN
- 0021-9991
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โฆ Synopsis
A method is presented for the direct and efficient computation of certain characteristics of differential eigenvalue problems. The method is based on the differentiation of the governing equations with respect to one or more of the parameters of the associated dispersion relation. The new problem (or problems), coupled with the original problem, is solved to direclly compute a certain required characteristic (e.g., the maximm disturbance growth rate). The method is applied to two problems in boundary-layer stability: the viscous instability of incompressible flow over a flat plate with suction and the inviscid instability of compressible flow over a flat plate with different walf and flow conditions. The new method has potential applications in both computational physics and engineering. (1995 Acadermic Press, Inc.
๐ SIMILAR VOLUMES
Natural convection flow in cavities with insulated top and bottom and heated and cooled walls is known to exhibit travelling wave instabilities in the thermal boundary layers that form on the walls. In water (Pr=7.5) at Rayleigh number Ra=6 ร 108, these waves have been observed at start-up. However