Abstract
Velocity distribution over pronounced rough surfaces shows a deviation from log- law for small values of y. In the case of duned bed, this distance may be 0.5 to 2 times the dune height. The concept of additional mixing length was used to obtain a log- law which shows deviation in velocity from log- law near the bed and constants appearing in the equation were evaluated using experimental data from flume studies.
Highlights
Basic work on velocity distribntion in hydrodynamically Sl1100th and rough pipes was carried out by Karman and prandU who gave well known log- velocity distribution lows
Velocity distribution over pronounced rough surfaces shows a deviation from log- law for small values of y
The concept of additional mixing length was used to obtain a log- law which shows deviatioll in velocity from log- law near the bed alld cOllstants appearing in the eqnation were evaluated using eXllerimelital data from flume stUdies
Summary
Basic work on velocity distribntion in hydrodynamically Sl1100th and rough pipes was carried out by Karman and prandU who gave well known log- velocity distribution lows. Keulegan(J) used these velocity distribution laws and determined the constants in volocity distribution and resistance · Iaws IIsing Bazin 's data. When these velocity distribution laws were used fol' alluvial channels with pronounced bed roughness in the form of dunes, certain difficulties were encountered primarily due to separation of flows behind dunes, ils reattachment, and redevelopment of the flow from the point of reattachment to th e crest of the dune. In the velocity distribution law was replaced by, II. The shear velocity corresponding to grain roughness, the velocity distribution law for plain bed can be used for duned bed.
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