Turbulent unsteady flow profiles over an adverse slope
 Sujit K. Bose,
 Subhasish Dey
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When an unsteady free surface flow encounters an adverse slope, it results in a decelerating flow up the adverse slope. The time dependent turbulent flow is treated here by appropriately reducing the twodimensional Reynolds averaged NavierStokes equation along with the equation of continuity considering turbulence closure. With suitable choice of parameters, the resulting differential equations are numerically solved to compute free surface and streamwise velocity profiles with time. It is found that initially the advancing free surface is convex upwards for a short time, followed by a jump of the free surface with a negative streamwise velocity that is a backwater rolling breaker due to deceleration of flow. At later time, however, the velocity becomes positive, that is, the breakers roll forward. This dual feature of motion, that is a surge followed by rolling breakers, is repeated for sometime before the jumps stop. The theoretical analysis presented here is motivated by tidal bores propagating upstream in an estuarine river.
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 Title
 Turbulent unsteady flow profiles over an adverse slope
 Journal

Acta Geophysica
Volume 61, Issue 1 , pp 8497
 Cover Date
 20130201
 DOI
 10.2478/s1160001200802
 Print ISSN
 18956572
 Online ISSN
 18957455
 Publisher
 SP Versita
 Additional Links
 Topics
 Keywords

 flow characteristics
 flow profiles
 free surface profile
 hydraulics
 turbulent flow
 unsteady flow
 Industry Sectors
 Authors

 Sujit K. Bose ^{(1)}
 Subhasish Dey ^{(2)}
 Author Affiliations

 1. Centre for Theoretical Studies, Indian Institute of Technology, Kharagpur, West Bengal, India
 2. Department of Civil Engineering, Indian Institute of Technology, Kharagpur, West Bengal, India