Stressed horizontal convection

J. Hazewinkel, Francesco Paparella, W. R. Young

Research output: Contribution to journalArticle

Abstract

Abstract We consider the problem of a Boussinesq fluid forced by applying both non-uniform temperature and stress at the top surface. On the other boundaries the conditions are thermally insulating and either no-slip or stress-free. The interesting case is when the direction of the steady applied surface stress opposes the sense of the buoyancy driven flow. We obtain two-dimensional numerical solutions showing a regime in which there is an upper cell with thermally indirect circulation (buoyant fluid is pushed downwards by the applied stress and heavy fluid is elevated), and a second deep cell with thermally direct circulation. In this two-cell regime the driving mechanisms are competitive in the sense that neither dominates the flow. A scaling argument shows that this balance requires that surface stress vary as the horizontal Rayleigh number to the three-fifths power.

Original languageEnglish (US)
Pages (from-to)317-331
Number of pages15
JournalJournal of Fluid Mechanics
Volume692
DOIs
StatePublished - Feb 10 2012

Fingerprint

convection
Fluids
fluids
cells
buoyancy-driven flow
Rayleigh number
Buoyancy
slip
Convection
scaling
Temperature
temperature

Keywords

  • buoyant boundary layers
  • ocean circulation
  • ocean processes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Stressed horizontal convection. / Hazewinkel, J.; Paparella, Francesco; Young, W. R.

In: Journal of Fluid Mechanics, Vol. 692, 10.02.2012, p. 317-331.

Research output: Contribution to journalArticle

Hazewinkel, J. ; Paparella, Francesco ; Young, W. R. / Stressed horizontal convection. In: Journal of Fluid Mechanics. 2012 ; Vol. 692. pp. 317-331.
@article{eae770ff63b84319a9aa62c92bd765af,
title = "Stressed horizontal convection",
abstract = "Abstract We consider the problem of a Boussinesq fluid forced by applying both non-uniform temperature and stress at the top surface. On the other boundaries the conditions are thermally insulating and either no-slip or stress-free. The interesting case is when the direction of the steady applied surface stress opposes the sense of the buoyancy driven flow. We obtain two-dimensional numerical solutions showing a regime in which there is an upper cell with thermally indirect circulation (buoyant fluid is pushed downwards by the applied stress and heavy fluid is elevated), and a second deep cell with thermally direct circulation. In this two-cell regime the driving mechanisms are competitive in the sense that neither dominates the flow. A scaling argument shows that this balance requires that surface stress vary as the horizontal Rayleigh number to the three-fifths power.",
keywords = "buoyant boundary layers, ocean circulation, ocean processes",
author = "J. Hazewinkel and Francesco Paparella and Young, {W. R.}",
year = "2012",
month = "2",
day = "10",
doi = "10.1017/jfm.2011.514",
language = "English (US)",
volume = "692",
pages = "317--331",
journal = "Journal of Fluid Mechanics",
issn = "0022-1120",
publisher = "Cambridge University Press",

}

TY - JOUR

T1 - Stressed horizontal convection

AU - Hazewinkel, J.

AU - Paparella, Francesco

AU - Young, W. R.

PY - 2012/2/10

Y1 - 2012/2/10

N2 - Abstract We consider the problem of a Boussinesq fluid forced by applying both non-uniform temperature and stress at the top surface. On the other boundaries the conditions are thermally insulating and either no-slip or stress-free. The interesting case is when the direction of the steady applied surface stress opposes the sense of the buoyancy driven flow. We obtain two-dimensional numerical solutions showing a regime in which there is an upper cell with thermally indirect circulation (buoyant fluid is pushed downwards by the applied stress and heavy fluid is elevated), and a second deep cell with thermally direct circulation. In this two-cell regime the driving mechanisms are competitive in the sense that neither dominates the flow. A scaling argument shows that this balance requires that surface stress vary as the horizontal Rayleigh number to the three-fifths power.

AB - Abstract We consider the problem of a Boussinesq fluid forced by applying both non-uniform temperature and stress at the top surface. On the other boundaries the conditions are thermally insulating and either no-slip or stress-free. The interesting case is when the direction of the steady applied surface stress opposes the sense of the buoyancy driven flow. We obtain two-dimensional numerical solutions showing a regime in which there is an upper cell with thermally indirect circulation (buoyant fluid is pushed downwards by the applied stress and heavy fluid is elevated), and a second deep cell with thermally direct circulation. In this two-cell regime the driving mechanisms are competitive in the sense that neither dominates the flow. A scaling argument shows that this balance requires that surface stress vary as the horizontal Rayleigh number to the three-fifths power.

KW - buoyant boundary layers

KW - ocean circulation

KW - ocean processes

UR - http://www.scopus.com/inward/record.url?scp=84857256979&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84857256979&partnerID=8YFLogxK

U2 - 10.1017/jfm.2011.514

DO - 10.1017/jfm.2011.514

M3 - Article

AN - SCOPUS:84857256979

VL - 692

SP - 317

EP - 331

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

SN - 0022-1120

ER -