Analytical description of chaotic oscillations in a toroidal thermosyphon

Liñán Martínez, Amable (1995). Analytical description of chaotic oscillations in a toroidal thermosyphon. In: "Fluid physics : lecture notes of summer schools". World Scientific series on nonlinear science. Series B, Special theme issues and proceedings (5). World Scientific, Singapore, pp. 507-523. ISBN 9810218990.

Description

Title: Analytical description of chaotic oscillations in a toroidal thermosyphon
Author/s:
  • Liñán Martínez, Amable
Editor/s:
  • Velarde, Manuel G.
  • Christov, Christo I.
Item Type: Book Section
Title of Book: Fluid physics : lecture notes of summer schools
Date: 1995
ISBN: 9810218990
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Motopropulsión y Termofluidodinámica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

Full text

[img]
Preview
PDF - Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (716kB) | Preview

Abstract

Multiple time scales and singular perturbation techniques are used to describe the ordinary and the chaotic oscillations due to natural convection in a fluid loop subject to a known external heat flux. The turbulent flow in the loop is modelled using the hydraulic approximation with a quadratic friction law. No steady solutions exist if the heat is added mainly to the top half and extracted from the bottom half of the loop, and two steady convective solutions may exist if one proceeds otherwise; these convective solutions may loose stability when the heat input is shifted from the side toward the bottom. The instability leads, first, to a periodic convective flow and then, after a period doubling Feigenbaum cascade, to a chaotic motion. An intermittent type transition from limit cycles to chaos is also found in the analysis. The transition to chaos can be described in terms of a non-invertible return map, obtained by singular perturbation techniques for loops with long length, when the system becomes strongly dissipative.

More information

Item ID: 1517
DC Identifier: http://oa.upm.es/1517/
OAI Identifier: oai:oa.upm.es:1517
Deposited by: Biblioteca ETSI Aeronauticos
Deposited on: 15 Apr 2009
Last Modified: 20 Apr 2016 06:51
  • Logo InvestigaM (UPM)
  • Logo GEOUP4
  • Logo Open Access
  • Open Access
  • Logo Sherpa/Romeo
    Check whether the anglo-saxon journal in which you have published an article allows you to also publish it under open access.
  • Logo Dulcinea
    Check whether the spanish journal in which you have published an article allows you to also publish it under open access.
  • Logo de Recolecta
  • Logo del Observatorio I+D+i UPM
  • Logo de OpenCourseWare UPM