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<br />CHAPTER 1. INTRODUCTION <br /> <br />Section 1.01. Purpose and Scope <br /> <br />The computation of water surface profiles involves solving the <br />one-dimensional energy equation to determine the shape of the profile <br />between control sections where the water surface elevation is known or <br />can be assumed. The most generally applicable procedure for steady- <br />flow profile calculation is called the Standard Step method. In this <br />method. the total distance is divided into reaches by cross sections <br />at fixed locations along the channel and. starting from one control. <br />profile calculations proceed in steps from cross section to cross sec- <br />tion to the next control. The purpose of this volume is to relate the <br />mathematical expressions that describe the dynamic condition of water <br />in motion to problems involving the many complexities of natural rivers. <br />Many textbooks that develop the basic theory for open channel flow <br />make use of simplified channel geometry such as a very wide or a rectan- <br />gular channel because the resulting mathematical expressions are sim- <br />plified. One can then turn his attention to fully understanding the <br />basic principles. The application of basic theory to natural rivers is <br />quite a different problem. Assumptions and simplifications must be <br />evaluated, and those which are too extreme must be avoided. <br />Applications developed for the electronic computer are even more <br />critical in that they must be carefully designed and programmed to <br /> <br />1.01 <br />