Nonlinear wave motions in stratified boundary layers

James P. Denier; Jillian A K Stott; Eunice W. Mureithi

Nonlinear wave motions in stratified boundary layers

James P. Denier^*, Jillian A K Stott, Eunice W. Mureithi

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

We consider nonlinear wave motions in strongly buoyant mixed forced-free convection boundary layer flows. In the natural limit of large Reynolds number the nonlinear evolution of a single monochromatic wave mode is shown to be governed by a novel wave/mean-flow interaction in which the wave amplitude and the wave induced mean-flow are of comparable size. A nonlinear integral equation describing the bifurcation to finite-amplitude travelling wave solutions is derived. Solutions of this equation are presented together with a discussion of their physical significance.

Original language	English
Pages (from-to)	105-114
Number of pages	10
Journal	Theoretical and Computational Fluid Dynamics
Volume	10
Issue number	1-4
Publication status	Published - 1998
Externally published	Yes

Cite this

@article{1678de1a55614f159746ba4072aad4a7,

title = "Nonlinear wave motions in stratified boundary layers",

abstract = "We consider nonlinear wave motions in strongly buoyant mixed forced-free convection boundary layer flows. In the natural limit of large Reynolds number the nonlinear evolution of a single monochromatic wave mode is shown to be governed by a novel wave/mean-flow interaction in which the wave amplitude and the wave induced mean-flow are of comparable size. A nonlinear integral equation describing the bifurcation to finite-amplitude travelling wave solutions is derived. Solutions of this equation are presented together with a discussion of their physical significance.",

author = "Denier, \{James P.\} and Stott, \{Jillian A K\} and Mureithi, \{Eunice W.\}",

year = "1998",

language = "English",

volume = "10",

pages = "105--114",

journal = "Theoretical and Computational Fluid Dynamics",

issn = "0935-4964",

publisher = "Springer, Springer Nature",

number = "1-4",

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TY - JOUR

T1 - Nonlinear wave motions in stratified boundary layers

AU - Denier, James P.

AU - Stott, Jillian A K

AU - Mureithi, Eunice W.

PY - 1998

Y1 - 1998

N2 - We consider nonlinear wave motions in strongly buoyant mixed forced-free convection boundary layer flows. In the natural limit of large Reynolds number the nonlinear evolution of a single monochromatic wave mode is shown to be governed by a novel wave/mean-flow interaction in which the wave amplitude and the wave induced mean-flow are of comparable size. A nonlinear integral equation describing the bifurcation to finite-amplitude travelling wave solutions is derived. Solutions of this equation are presented together with a discussion of their physical significance.

AB - We consider nonlinear wave motions in strongly buoyant mixed forced-free convection boundary layer flows. In the natural limit of large Reynolds number the nonlinear evolution of a single monochromatic wave mode is shown to be governed by a novel wave/mean-flow interaction in which the wave amplitude and the wave induced mean-flow are of comparable size. A nonlinear integral equation describing the bifurcation to finite-amplitude travelling wave solutions is derived. Solutions of this equation are presented together with a discussion of their physical significance.

UR - https://www.scopus.com/pages/publications/0032345321

M3 - Article

AN - SCOPUS:0032345321

SN - 0935-4964

VL - 10

SP - 105

EP - 114

JO - Theoretical and Computational Fluid Dynamics

JF - Theoretical and Computational Fluid Dynamics

IS - 1-4

ER -

Nonlinear wave motions in stratified boundary layers

Abstract

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