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Walter B. Langbein

Publications and source records attributed to Walter B. Langbein.

8 recordsLinked to original sources

Determination of Manning's N from vertical‐velocity curves

Professor M. P. O'Brien [see 1, 2 of “References” at end of paper] has recently shown that data on the vertical distribution of velocity through the theory of turbulent flow as developed by Prandtl, Von Karman, and others may be applied to the determination of friction‐coefficients in open channels. Hydrographers in making measurements of river‐flow have often noticed that in streams having rough bottoms appreciable difference is generally found between the measured velocity at 0.2‐ and 0.8‐depth. It is satisfying to note that Professor O'Brien's calculations are in accord with these general observations.

Eos, Transactions, American Geophysical Union

Monthly evapo‐transpiration losses from natural drainage‐basin

With limited restrictions the hydrologic cycle in a given area may be expressed essentially as follows: P = (R + E + ΔFm) in which P represents the precipitation during a given period, R that portion which has reached or will reach the stream‐channel either through surface or subsurface paths, E that part which is evaporated from land and water surfaces and transpired by vegetation during the same period, and ΔFm the change in field‐moisture content during the period. In general both E and Fm are unknown. When the period of time considered in the above expression is long, ΔFm may be neglected and then the evapo‐transpiration losses equal the difference between P (rainfall) and R (runoff) [see 1 of “References” at end of paper]; on the other hand, when the period of time considered is short and considerable rain has fallen then E may be neglected and ΔFm equals the difference between P and R represents water stored as an increment to field‐moisture to be disposed of by evapo‐transpiration during subsequent rainless periods [2].

Eos, Transactions, American Geophysical Union

Hydraulic criteria for sand‐waves

Sand‐waves on rivers are rhythmic successions of waves which occur at flood‐stages of streams heavily loaded with sediments. They take their name from the fact that sand and associated silts and gravels form a large part of the load transported by a river at such times. They seem to be peculiar to the Southwest and many vivid descriptions of them can be found in the literature of that region. R. C. PIERCE [see 1 of “References” at end of paper[, who observed many sand‐waves on the San Juan River in Utah, has described them as resembling in appearance “the waves thrown up by a stern‐wheel river steamboat.” He further describes their appearances as follows: “The sand‐waves are not continuous, but follow a rhythmic movement. At one moment the stream is running smoothly for a distance of perhaps several hundred yards. Then suddenly a number of waves, usually from six to ten, appear. They reach their full size in a few seconds, flow for perhaps two or three minutes, then suddenly disappear. Often, for perhaps half a minute before disappearing, the crests of the waves go through a combing movement, accompanied by a roaring sound. On first appearance it seems that the wave‐forms occupy fixed positions, but by watching them closely it is seen that they move slowly upstream. In the narrow parts of the stream the waves may reach nearly the width of the river, but in the wider parts they occupy smaller proportional widths. Usually they are at right‐angles to the axis of the stream, but at some places, particularly in the wider parts of the river, they may suddenly assume a diagonal position, moving rather rapidly across the stream in the direction toward which the upstream side of the wave has turned.” Many such descriptions may be found which in the main bear out PIERCE'S account, varying, however, as to size of wave, rate, and sometimes as to direction of movement.

Eos, Transactions, American Geophysical Union

Appendix A—Progress report of the subcommittee on permeability

A variety of units and names of units relating to permeability have been used and are being used by different investigators. This Sub‐Committee was recently organized to provide an open forum for persons of different background and experience to present their views in an orderly manner. Thirteen members representing diverse fields of activity have been chosen. To these, L. K. WENZEL, Chairman, by memorandum dated December 2, 1943, proposed three questions for consideration as an initial effort of the Sub‐Committee: (1) Should the coefficient of permeability depend only on the structure of the material, or should some other name be used to express this property in view of the fact that, as now generally used, the coefficient of permeability is not independent of properties of the fluid or the combined properties of the fluid and the material; (2) should a name be coined, or is there a suitable one in existence, for expressing the combined properties of the material and fluid for practical application in one local area; (3) what are the parameters that should be included in the equation of flow of fluids that relate only to the structure of the material.

Eos, Transactions, American Geophysical Union

Annual floods and the partial‐duration flood series

Flood data are ordinarily listed either in annual‐flood series or in a partial‐duration series. If the expectancy of a flood in the duration series ϵ is known, then the probability of that flood being an annual flood is shown to be e −ϵ . From this relationship it is possible to transform recurrence intervals in the partial duration series to those in the annual‐flood series. It is shown that for equivalent floods, the recurrence intervals in the partial‐duration series are smaller than in the annual‐flood series, but that the difference becomes inconsequential for floods greater than about five‐year recurrence interval.

Eos, Transactions, American Geophysical Union

Yield of sediment in relation to mean annual precipitation

Effective mean annual precipitation is related to sediment yield from drainage basins throughout the climatic regions of the United States. Sediment yield is a maximum at about 10 to 14 inches of precipitation, decreasing sharply on both sides of this maximum in one case owing to a deficiency of runoff and in the other to increased density of vegetation. Data are presented illustrating the increase in bulk density of vegetation with increased annual precipitation and the relation of relative erosion to vegetative density. It is suggested that the effect of a climatic change on sediment yield depends not only upon direction of climate change, but also on the climate before the change. Sediment concentration in runoff is shown to increase with decreased annual precipitation, suggesting further that a decrease in precipitation will cause stream channel aggradation

Eos, Transactions, American Geophysical Union

Double-mass curves, with a section fitting curves to cyclic data

The double.-mass curve is used to check the consistency of many kinds of hydrologic data by comparing data for a single station with that of a pattern composed of the data from several other stations in the area The double-mass curve can be used to adjust inconsistent precipitation data. The graph of the cumulative data of one variable versus the cumulative data of a related variable is a straight line so long as the relation between the variables is a fixed ratio. Breaks in the double-mass curve of such variables are caused by changes in the relation between the variables. These changes may be due to changes in the method of data collection or to physical changes that affect the relation. Applications of the double-mass curve to precipitation, streamflow, and sediment data, and to precipitation-runoff relations are described. A statistical test for significance of an apparent break in the slope of the double-mass curve is described by an example. Poor correlation between the variables can prevent detection of inconsistencies in a record, but an increase in the length of record tends to offset the effect of poor correlation. The residual-mass curve, which is a modification of the double-mass curve, magnifies imperceptible breaks in the double-mass curve for detailed study. Of the several methods of fitting a smooth curve to cyclic or periodic data, the moving-arc method and the double-integration method deserve greater use in hydrology. Both methods are described in this manual. The moving-arc method has general applicability, and the double integration method is useful in fitting a curve to cycles of sinusoidal form.

Water Supply Paper