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<br /> <br />; <br /> <br />... <br /> <br />~ <br /> <br />~ <br /> <br />" <br /> <br />.. <br /> <br />The purpose of this group of pictures, selected from Technical Bulletin No. <br />129, "Flow of Water in Drainage Channels" by C, E. Ramser, is to illustrate <br />the wide range of the roughness coefficient "n" of Manning's formula for chan- <br />nel valocities related to actual channel conditions, Study of the pictures and <br />information shown should assist in selecting realistic values of "n" for both <br />present and future constructed channels. <br /> <br />The pictures usually were taken when the channels were at low flows so that <br />the channel condition could be seen. <br /> <br />The tables show several measured values for the channels at different depths <br />of flow. In most cases the pictures were not taken at the same time of the <br />measurements. <br /> <br />The "n" values shown in the tables under the pictures were calculated by using <br />the measured values of slope, hydraulic radius, and discharge in the Kutter <br />formula for velocity. The calculated "n" values would have been slightly less <br />had the measured values been substituted in the Manning formula, Many engi- <br />neers use the same "n" value of either formula, <br /> <br />When the hydraulic radius "r" is 3,28, the same "n" value used in the two <br />formulae will give the same value for the velocity, When "r" is less than <br />3,28, the velocity calculated by the Manning formula will be slightly I;l:reater <br />than if calculated by the Kutter formula. When "r" is greater than 3.28, the <br />velocity calculated by the Manning formula will be slightly less than if calcu- <br />lated by the Kutter formula. <br /> <br />For all practical purposes, the "n" values calculated by Kutter's formula may <br />be considered to be the same for Manning's formula. <br /> <br />The velocity determined by Manning's formula varies inversely as the value of <br />"n", This. factor affects the velocity more than any other factor and its value <br />depends entirely upon channel characteristics which are evaluated generally <br />only by observation, Therefore, it is important that the observers who select <br />these factors have some basis for evaluation, These pictures should aid in <br />making a selection of the "n" value, <br /> <br />The following should be considered carefully in estimating the value of "n" for <br />a channel: <br /> <br />1. The material through which the channel will be constructed, such as <br />earth, rock, gravel, etc, <br /> <br />2, Surface irregularity of the sides and bottom of the channel. <br /> <br />3, Variations of successive cross sections in size and shape, <br /> <br />- 3 - <br />