2022
DOI: 10.1017/jfm.2022.508
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Speaker-wire vortices in stratified anabatic Prandtl slope flows and their secondary instabilities

Abstract: Stationary longitudinal vortical rolls emerge in katabatic and anabatic Prandtl slope flows at shallow slopes as a result of an instability when the imposed surface buoyancy flux relative to the background stratification is sufficiently large. Here, we identify the self-pairing of these longitudinal rolls as a unique flow structure. The topology of the counter-rotating vortex pair bears a striking resemblance to speaker-wires and their interaction with each other is a precursor to further destabilization and b… Show more

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Cited by 2 publications
(3 citation statements)
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“…Figure 6a shows the contour plot of the normalised u$$ u $$‐velocity component field for this case, which exhibits continuous and straight longitudinal rolls that are parallel to the along‐slope direction. Such smooth rolls, which are initially stationary, start to meander when the normalΠnormals$$ {\Pi}_{\mathrm{s}} $$ value is increased and without requiring any additional perturbation due to a secondary roll instability as described in Xiao and Senocak (2022). Slightly increasing the stratification perturbation parameter to normalΠnormals=13$$ {\Pi}_{\mathrm{s}}=13 $$, Figure 6b reveals how the instability rolls, while remaining aligned with the along‐slope direction, are now curved and create branches after colliding with each other as a result of secondary instabilities of vortical rolls.…”
Section: Resultsmentioning
confidence: 99%
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“…Figure 6a shows the contour plot of the normalised u$$ u $$‐velocity component field for this case, which exhibits continuous and straight longitudinal rolls that are parallel to the along‐slope direction. Such smooth rolls, which are initially stationary, start to meander when the normalΠnormals$$ {\Pi}_{\mathrm{s}} $$ value is increased and without requiring any additional perturbation due to a secondary roll instability as described in Xiao and Senocak (2022). Slightly increasing the stratification perturbation parameter to normalΠnormals=13$$ {\Pi}_{\mathrm{s}}=13 $$, Figure 6b reveals how the instability rolls, while remaining aligned with the along‐slope direction, are now curved and create branches after colliding with each other as a result of secondary instabilities of vortical rolls.…”
Section: Resultsmentioning
confidence: 99%
“…Note that no length or velocity scales are applied externally in the prototype slope flow scenario and hence no such scales appear in the dimensionless parameters governing this type of flow. Most recently, Xiao and Senocak (2022) showed that normalΠnormals$$ {\Pi}_{\mathrm{s}} $$ plays a nonlinear role in flows over flat terrain stratified by the combined action of surface cooling and a constant ambient stratification as well.…”
Section: Methodsmentioning
confidence: 99%
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