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Separation of upslope flow over a uniform slope

Published online by Cambridge University Press:  23 June 2015

C. M. Hocut ,
D. Liberzon  and
H. J. S. Fernando
C. M. Hocut
Affiliation:
Environmental Fluid Dynamics Laboratories, Department of Civil and Environmental Engineering and Earth Sciences, University of Notre Dame, Notre Dame, IN 46556, USA
D. Liberzon
Affiliation:
Environmental Fluid Dynamics Laboratories, Department of Civil and Environmental Engineering and Earth Sciences, University of Notre Dame, Notre Dame, IN 46556, USA
H. J. S. Fernando*
Affiliation:
Environmental Fluid Dynamics Laboratories, Department of Civil and Environmental Engineering and Earth Sciences, University of Notre Dame, Notre Dame, IN 46556, USA Department of Aerospace and Mechanical Engineering, University of Notre Dame, IN 46556, USA
*
†Email address for correspondence: Harindra.J.Fernando.10@nd.edu
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Abstract

Motivated by the importance of understanding mountain weather during periods of thermal convection, a laboratory study was conducted to investigate the separation of an upslope (anabatic) flow on a two-dimensional heated mountainous slope in the absence of a background mean flow. Three flow regimes were identified. In the first, at slope angles ${\it\beta}$ larger than a critical value ${\it\beta}_{c}\approx 20^{\circ }$, the separated flow generated a rising plume completely fed by the anterior upslope flow. For this case, a simple model based on a balance between the opposing vorticities of baroclinicity and shear was proposed to predict the location of the separation point relative to the mountain base. The model also predicts the velocity and length scales at separation as well as those of the rising plume after separation. In the second regime, $10^{\circ }<{\it\beta}\leqslant {\it\beta}_{c}$, the volume flow of the separated plume was not fully supplied by the upslope flow, requiring entrainment of additional ambient fluid at the base of the plume source. The third regime occurred when ${\it\beta}\leqslant 10^{\circ }$, wherein the plume almost completely engulfed the slope, similar to a buoyant plume emanating from a source of finite dimensions, thus overshadowing the upslope flow. Measurements of the separation point conducted during the MATERHORN field research program were consistent with the results of the laboratory experiments and modelling.

JFM classification

Geophysical and Geological Flows: Atmospheric flows Geophysical and Geological Flows: Meteorology Geophysical and Geological Flows: Topographic effects
Type
Papers
Information
Journal of Fluid Mechanics , Volume 775 , 25 July 2015 , pp. 266 - 287
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© 2015 Cambridge University Press 

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