The continuous spectrum of the Orr-Sommerfeld equation: note on a paper of Grosch & Salwen-Reference-Cited by-同舟云学术

The continuous spectrum of the Orr-Sommerfeld equation: note on a paper of Grosch & Salwen

Published:1991-05 Issue: Volume:226 Page:565-571
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Craik A. D. D.

Abstract

Grosch & Salwen (1978) discuss the continuous-spectrum contribution in both temporal and spatial stability problems that are governed by the linear Orr–Sommerfeld equation. Their computed temporal continuum eigenfunctions for the Blasius boundary layer and for a laminar jet profile show surprising differences. This note provides an improved physical understanding of the results through a simple model, and shows that these differences are more apparent than real.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference5 articles.

1. Kelvin, Lord 1887 Stability of fluid motion: rectilinear motion of viscous fluid between two parallel plates.Phil. Mag. 24 (5),188–196.

2. Drazin, P. G. & Reid, W. H. ,1981 Hydrodynamic Stability .Cambridge University Press.

3. Craik, A. D. D. :1985 Wave Interactions and Fluid Flows .Cambridge University Press.

4. Criminale, W. O. & Drazin, P. G. ,1990 The evolution of linearized perturbations of parallel flows.Stud. Appl. Maths 83,123–157.

5. Grosch, C. E. & Salwen, H. ,1978 The continuous spectrum of the Orr-Sommerfeld equation. Part 1. The spectrum and the eigenfunctions.J. Fluid Mech. 87,33–54 (referred to herein as I).

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