Bénard convection with time-periodic heating

M. N. Roppo; S. H. Davis; S. Rosenblat

doi:10.1063/1.864707

Bénard convection with time-periodic heating

M. N. Roppo, S. H. Davis, S. Rosenblat

Research output: Contribution to journal › Article › peer-review

131 Scopus citations

Abstract

A thin liquid layer, which is heated from below, has its lower boundary modulated sinusoidally in time with amplitude δ. Weakly-nonlinear stability theory shows that the modulation produces a range of stable hexagons near the critical Rayleigh number. For small δ the range is O(δ⁴) in size and decreases with modulation frequency. These hexagons bifurcate subcritically and correspond to downflow at cell centers.

Original language	English (US)
Pages (from-to)	796-803
Number of pages	8
Journal	Physics of Fluids
Volume	27
Issue number	4
DOIs	https://doi.org/10.1063/1.864707
State	Published - 1984
Externally published	Yes

ASJC Scopus subject areas

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

Access to Document

10.1063/1.864707

Cite this

@article{d6d61d12a1ae42c3b8d17d98ca17841d,

title = "B{\'e}nard convection with time-periodic heating",

abstract = "A thin liquid layer, which is heated from below, has its lower boundary modulated sinusoidally in time with amplitude δ. Weakly-nonlinear stability theory shows that the modulation produces a range of stable hexagons near the critical Rayleigh number. For small δ the range is O(δ4) in size and decreases with modulation frequency. These hexagons bifurcate subcritically and correspond to downflow at cell centers.",

author = "Roppo, {M. N.} and Davis, {S. H.} and S. Rosenblat",

year = "1984",

doi = "10.1063/1.864707",

language = "English (US)",

volume = "27",

pages = "796--803",

journal = "Physics of Fluids",

issn = "1070-6631",

publisher = "American Institute of Physics Publising LLC",

number = "4",

}

TY - JOUR

T1 - Bénard convection with time-periodic heating

AU - Roppo, M. N.

AU - Davis, S. H.

AU - Rosenblat, S.

PY - 1984

Y1 - 1984

N2 - A thin liquid layer, which is heated from below, has its lower boundary modulated sinusoidally in time with amplitude δ. Weakly-nonlinear stability theory shows that the modulation produces a range of stable hexagons near the critical Rayleigh number. For small δ the range is O(δ4) in size and decreases with modulation frequency. These hexagons bifurcate subcritically and correspond to downflow at cell centers.

AB - A thin liquid layer, which is heated from below, has its lower boundary modulated sinusoidally in time with amplitude δ. Weakly-nonlinear stability theory shows that the modulation produces a range of stable hexagons near the critical Rayleigh number. For small δ the range is O(δ4) in size and decreases with modulation frequency. These hexagons bifurcate subcritically and correspond to downflow at cell centers.

UR - http://www.scopus.com/inward/record.url?scp=0021406360&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0021406360&partnerID=8YFLogxK

U2 - 10.1063/1.864707

DO - 10.1063/1.864707

M3 - Article

AN - SCOPUS:0021406360

SN - 1070-6631

VL - 27

SP - 796

EP - 803

JO - Physics of Fluids

JF - Physics of Fluids

IS - 4

ER -

Bénard convection with time-periodic heating

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this