Spatial Stability of Incompressible Attachment-Line Flow

Theofilis, Vassilios (1995). Spatial Stability of Incompressible Attachment-Line Flow. "Theoretical and computational fluid dynamics", v. 7 (n. 3); pp. 159-171. ISSN 0935-4964. https://doi.org/10.1007/BF00312360.

Description

Title: Spatial Stability of Incompressible Attachment-Line Flow
Author/s:
  • Theofilis, Vassilios
Item Type: Article
Título de Revista/Publicación: Theoretical and computational fluid dynamics
Date: 1995
ISSN: 0935-4964
Volume: 7
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Motopropulsión y Termofluidodinámica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Linear stability analysis of incompressible attachment-line flow is presented within the spatial framework. The system of perturbation equations is solved using spectral collocation. This system has been solved in the past using the temporal approach and the current results are shown to be in excellent agreement with neutral temporal calculations. Results amenable to direct comparison with experiments are then presented for the case of zero suction. The global solution method utilized for solving the eigenproblem yields, aside from the well-understood primary mode, the full spectrum of least-damped waves. Of those, a new mode, well separated from the continuous spectrum is singled out and discussed. Further, relaxation of the condition of decaying perturbations in the far-field results in the appearance of sinusoidal modes akin to those found in the classical Orr-Sommerfeld problem. Finally, the continuous spectrum is demonstrated to be amenable to asymptotic analysis. Expressions are derived for the location, in parameter space, of the continuous spectrum, as well as for the limiting cases of practical interest. In the large Reynolds number limit the continuous spectrum is demonstrated to be identical to that of the Orr-Sommerfeld equation.

More information

Item ID: 10439
DC Identifier: http://oa.upm.es/10439/
OAI Identifier: oai:oa.upm.es:10439
DOI: 10.1007/BF00312360
Official URL: http://www.springerlink.com/content/lr5340k81807372w/
Deposited by: Memoria Investigacion
Deposited on: 05 Mar 2012 11:18
Last Modified: 20 Apr 2016 18:39
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