Can the rate of wash load be predicted from the bed-load function?

1953 ◽  
Vol 34 (6) ◽  
pp. 876 ◽  
Author(s):  
H. A. Einstein ◽  
Ning Chien
Keyword(s):  
Bed Load ◽  
2011 ◽  
Vol 1 (5) ◽  
pp. 21 ◽  
Author(s):  
Per Bruun

The transport of sediment by flowing water commands great interest in connection with the control of floods, land reclamation, and the construction of harbours and coast protection works. A distinction can be drawn between littoral drift in rivers and in the sea. The sediment transportation in rivers has been investigated by several authors, e.g. Shields, Meyer Peter, Kalinske, and Einstein, see (16) pp„ 769-83*+. Einstein's latest theories have given reliable results in practice (9). As pointed out by Einstein (7), there cannot be much difference, physically, between transportation of sediment in rivers and longshore drift at sea shores, apart from the littoral zone with its extremely complex conditions. In the attempt to understand the complex problem of sea shores the practice so far has been to split them up into several reaches and investigate them separately. This work has given a number of results of practical interest in connection with littoral drift and coastal protection technology, see (2), (3), (5)» (6), (11), (13), and (16). According to Einstein, Johnson and Chien (8) there exist two types of sediment load, one that bears a certain relationship with the discharge (bed-material load), and the other which does not (wash load). The result of flume study indicates that the transport rate of wash load, just as that of the bed-material load, can be calculated according to the Einstein bed-load function (9), if the instantaneous bed composition is known. On the other hand, the bedmaterial load is equally available'in the entire bed, but only the surface bed layer contains any significant amount of wash-load material. Any change of flow or of sediment supply may immediately change the composition of the wash-load material in the bed. The bed composition as determined from the instantaneous condition of the channel has no lasting significance so far as the wash load is concerned, and this makes the prediction of the wash-load rate from.the bed-load function impossible. The following deals with a mode of bed-load transportation which, as far as can be seen, takes place in large "waves" or humps. Introductorily are mentioned investigations made in the United States on migrating sand bars and sand waves in rivers, and investigations in Holland on migrating sand bars on the bottom of the sea. The major part of the paper deal with migrating sand humps along the North Sea coast of the peninsula of Jutland, Denmark, see Fig. 3.


2012 ◽  
Vol 27 (4) ◽  
pp. 460-472 ◽  
Author(s):  
De-yu ZHONG ◽  
Guang-qian WANG ◽  
Lei ZHANG

1973 ◽  
Vol 99 (2) ◽  
pp. 375-377
Author(s):  
Heramb D. Sharma ◽  
Dharam V. Varshney ◽  
Vijay K. Agarwal
Keyword(s):  
Bed Load ◽  

1972 ◽  
Vol 98 (1) ◽  
pp. 137-151
Author(s):  
Hans Albert Einstein ◽  
Farouk M. Abdel-Aal
Keyword(s):  
Bed Load ◽  

1976 ◽  
Vol 102 (1) ◽  
pp. 131-136
Author(s):  
Spyridon Beltaos
Keyword(s):  
Bed Load ◽  

1972 ◽  
Vol 1 (13) ◽  
pp. 46 ◽  
Author(s):  
H.A. Einstein

This paper summarizes the results of a continuing study at the hydraulic laboratory at the University of California at Berkeley on this subject, which is supported by the Coastal Engineering Research Center (CERC) and which has resulted over the years in the Theses of Huon ti (1954), M. Manohar (1955), G. Kalkanis (1957, 1963), M. M. Abou-Seida (1965), M. M. Das (1968) and is at this time being continued by T. C. Mac Donald. All these researchers have greatly contributed to the success of this work while the author was mostly responsible for the continuity of the study. The aim of the study was to see if it is possible to establish for the description and prediction of sediment transport by waves a general system of approach similar to that which the author published in 1950 under the title '.'The Bed-Load Function for Sediment Transport in Open Channel Flows". ( It was hoped at the time that many of the basic steps of such a description may at least be similar to those used for uni-directional flow. It became apparent that such similarities of approach were quite feasible; but another difficulty became apparent from the beginning. While in the uni-directional flow many details of the flow, such as velocity distributions, boundary layers and turbulence had been, studied and described previously, such knowledge was almost entirely lacking for wave motion. The first part of the study consisted entirely of hydraulic measurements and of their analysis. In order to determine the necessary scope of such hydraulic studies, the analogy with sediment transport in uni-directional flow was used. Some of the principles governing uni-directional flow transport are: 1. Sediment motion can be divided into bed-load motion or surface creep and suspension. 2. While moving as bed load, the particle weight is to a large part transmitted directly to the nonmoving bed, not to the flow. 3. The rate of bed-load motion is defined by the equilibrium exchange of sediment between the bed-load and the nonmoving bed. 4. This equilibrium gives a direct relationship between the sediment rate and the flow conditions near the bed, including the turbulence. 5. The flow condition near the bed can be predicted for a uni-directional boundary layer as a function of the bed shear and the bed roughness, only.


1973 ◽  
Vol 99 (8) ◽  
pp. 1267-1268
Author(s):  
Hans Albert Einstein ◽  
Farouk M. Abdel-Aal
Keyword(s):  
Bed Load ◽  

2007 ◽  
Vol 13 (1) ◽  
pp. 106-122 ◽  
Author(s):  
N. K. Khullar ◽  
U. C. Kothyari ◽  
K. G. Ranga Raju

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