NDLI: Analytical solution for katabatic flow induced by an isolated cold strip

Content Provider	Springer Nature Link
Author	Axelsen, Simon L. Shapiro, Alan Fedorovich, Evgeni Dop, Han
Copyright Year	2009
Abstract	An analytical model for katabatic flow induced by cold strip of finite width in the cross-slope direction but of infinite extent in the downslope direction is presented. The fluid is assumed to have a constant (eddy) viscosity, and the Coriolis force is neglected. A numerical simulation has been used to verify the model, which is shown to revert to the classical Prandtl model if the strip width goes to infinity. The effects of the strip width and slope angle on the katabatic flow are studied. The buoyancy and downslope velocity reach maximum values at the centre of the strip, and spread outwards in the cross-slope direction. The downslope wind maximum weakens for narrow strips and shallow slopes. In contrast to the Prandtl solution, which shows a counter flow above the wind maximum, our model predicts the counter flow to occur outside the strip. The cross-slope variation in the surface forcing induces cross-slope and slope-normal velocities, which are manifested in vortices at the strip edges. Below the wind maximum, the fluid above the cooling surface descends and moves toward the strip edge where it is detrained from the strip region. Replenishment of fluid into the strip region takes place above the wind maximum.
Starting Page	387
Ending Page	414
Page Count	28
File Format	PDF
ISSN	15677419
Journal	Environmental Fluid Mechanics
Volume Number	10
Issue Number	4
e-ISSN	15731510
Language	English
Publisher	Springer Netherlands
Publisher Date	2009-11-25
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Katabatic flow Inhomogeneous surface forcing Analytical solution Oceanography Meteorology/Climatology Hydrogeology Mechanics Environmental Physics
Content Type	Text
Resource Type	Article
Subject	Environmental Chemistry Water Science and Technology

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