The influence of higher order effects on the vortex instability of thermal boundary layer flow in a wedge-shaped domain

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Abstract

We reconsider the onset of streamwise vortices in the thermal boundary layer flow induced by an inclined upward-facing heated semi-infinite surface placed within a Newtonian fluid. Particular emphasis is laid upon how the induced flow in the isothermal region outside the boundary layer affects the boundary layer itself at higher order, and how this, in turn, affects the stability criterion for the onset of vortices. We find that the stability criterion for thermal boundary layers in air is less susceptible to changes in external geometry than for boundary layers in water. In general, we conclude that the variation of the stability criterion with wedge angle (between the heated and the outer boundary surface) is too great for the theory to predict reliably where disturbances first begin to grow. © 2004 Elsevier Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)1417-1424
Number of pages8
JournalInternational Journal of Heat and Mass Transfer
Volume48
Issue number8
DOIs
Publication statusPublished - 2005

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thermal boundary layer
boundary layer flow
Boundary layer flow
wedges
boundary layers
Boundary layers
Stability criteria
Vortex flow
vortices
Newtonian fluids
disturbances
air
geometry
water
Fluids
Geometry
Hot Temperature
Water
Air

Keywords

  • Newtonian flow
  • Boundary layers
  • Vortex flow
  • Isotherms
  • Stream flow

Cite this

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title = "The influence of higher order effects on the vortex instability of thermal boundary layer flow in a wedge-shaped domain",
abstract = "We reconsider the onset of streamwise vortices in the thermal boundary layer flow induced by an inclined upward-facing heated semi-infinite surface placed within a Newtonian fluid. Particular emphasis is laid upon how the induced flow in the isothermal region outside the boundary layer affects the boundary layer itself at higher order, and how this, in turn, affects the stability criterion for the onset of vortices. We find that the stability criterion for thermal boundary layers in air is less susceptible to changes in external geometry than for boundary layers in water. In general, we conclude that the variation of the stability criterion with wedge angle (between the heated and the outer boundary surface) is too great for the theory to predict reliably where disturbances first begin to grow. {\circledC} 2004 Elsevier Ltd. All rights reserved.",
keywords = "Newtonian flow, Boundary layers, Vortex flow, Isotherms, Stream flow",
author = "Paul, {Manosh C} and Rees, {D Andrew S} and Michael Wilson",
year = "2005",
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language = "English",
volume = "48",
pages = "1417--1424",
journal = "International Journal of Heat and Mass Transfer",
issn = "0017-9310",
publisher = "Elsevier",
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TY - JOUR

T1 - The influence of higher order effects on the vortex instability of thermal boundary layer flow in a wedge-shaped domain

AU - Paul, Manosh C

AU - Rees, D Andrew S

AU - Wilson, Michael

PY - 2005

Y1 - 2005

N2 - We reconsider the onset of streamwise vortices in the thermal boundary layer flow induced by an inclined upward-facing heated semi-infinite surface placed within a Newtonian fluid. Particular emphasis is laid upon how the induced flow in the isothermal region outside the boundary layer affects the boundary layer itself at higher order, and how this, in turn, affects the stability criterion for the onset of vortices. We find that the stability criterion for thermal boundary layers in air is less susceptible to changes in external geometry than for boundary layers in water. In general, we conclude that the variation of the stability criterion with wedge angle (between the heated and the outer boundary surface) is too great for the theory to predict reliably where disturbances first begin to grow. © 2004 Elsevier Ltd. All rights reserved.

AB - We reconsider the onset of streamwise vortices in the thermal boundary layer flow induced by an inclined upward-facing heated semi-infinite surface placed within a Newtonian fluid. Particular emphasis is laid upon how the induced flow in the isothermal region outside the boundary layer affects the boundary layer itself at higher order, and how this, in turn, affects the stability criterion for the onset of vortices. We find that the stability criterion for thermal boundary layers in air is less susceptible to changes in external geometry than for boundary layers in water. In general, we conclude that the variation of the stability criterion with wedge angle (between the heated and the outer boundary surface) is too great for the theory to predict reliably where disturbances first begin to grow. © 2004 Elsevier Ltd. All rights reserved.

KW - Newtonian flow

KW - Boundary layers

KW - Vortex flow

KW - Isotherms

KW - Stream flow

U2 - 10.1016/j.ijheatmasstransfer.2004.11.002

DO - 10.1016/j.ijheatmasstransfer.2004.11.002

M3 - Article

VL - 48

SP - 1417

EP - 1424

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

SN - 0017-9310

IS - 8

ER -