On the homoclinic orbit for convection in a fluid layer heated from below

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

The homoclinic orbit associated with the transition from steady convection to Chaos in the weak turbulent regime is difficult to recover in simple computational procedures because of its unstable nature. A simple procedure which recovers the homoclinic orbit up to the desired accuracy is presented. This procedure combines the insight obtained from previous work on a local non-linear analysis of the problem and the Adomian's decomposition method of solution which provides a global semi-analytical solution.

Original languageEnglish (US)
Pages (from-to)3557-3561
Number of pages5
JournalInternational Journal of Heat and Mass Transfer
Volume42
Issue number19
DOIs
StatePublished - Oct 1999
Externally publishedYes

Fingerprint

Orbits
convection
orbits
Fluids
fluids
Nonlinear analysis
Chaos theory
chaos
Decomposition
decomposition
Convection

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Energy(all)
  • Mechanical Engineering

Cite this

On the homoclinic orbit for convection in a fluid layer heated from below. / Vadasz, Peter.

In: International Journal of Heat and Mass Transfer, Vol. 42, No. 19, 10.1999, p. 3557-3561.

Research output: Contribution to journalArticle

@article{226900447313434e9ed2dbf1f31a94b7,
title = "On the homoclinic orbit for convection in a fluid layer heated from below",
abstract = "The homoclinic orbit associated with the transition from steady convection to Chaos in the weak turbulent regime is difficult to recover in simple computational procedures because of its unstable nature. A simple procedure which recovers the homoclinic orbit up to the desired accuracy is presented. This procedure combines the insight obtained from previous work on a local non-linear analysis of the problem and the Adomian's decomposition method of solution which provides a global semi-analytical solution.",
author = "Peter Vadasz",
year = "1999",
month = "10",
doi = "10.1016/S0017-9310(99)00042-3",
language = "English (US)",
volume = "42",
pages = "3557--3561",
journal = "International Journal of Heat and Mass Transfer",
issn = "0017-9310",
publisher = "Elsevier Limited",
number = "19",

}

TY - JOUR

T1 - On the homoclinic orbit for convection in a fluid layer heated from below

AU - Vadasz, Peter

PY - 1999/10

Y1 - 1999/10

N2 - The homoclinic orbit associated with the transition from steady convection to Chaos in the weak turbulent regime is difficult to recover in simple computational procedures because of its unstable nature. A simple procedure which recovers the homoclinic orbit up to the desired accuracy is presented. This procedure combines the insight obtained from previous work on a local non-linear analysis of the problem and the Adomian's decomposition method of solution which provides a global semi-analytical solution.

AB - The homoclinic orbit associated with the transition from steady convection to Chaos in the weak turbulent regime is difficult to recover in simple computational procedures because of its unstable nature. A simple procedure which recovers the homoclinic orbit up to the desired accuracy is presented. This procedure combines the insight obtained from previous work on a local non-linear analysis of the problem and the Adomian's decomposition method of solution which provides a global semi-analytical solution.

UR - http://www.scopus.com/inward/record.url?scp=0345466312&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0345466312&partnerID=8YFLogxK

U2 - 10.1016/S0017-9310(99)00042-3

DO - 10.1016/S0017-9310(99)00042-3

M3 - Article

AN - SCOPUS:0345466312

VL - 42

SP - 3557

EP - 3561

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

SN - 0017-9310

IS - 19

ER -