Harlan Bengtson (Author of Advantages of Spreadsheets for Pipe Flow/Friction Factor Calculations)
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Hydraulic Radius Equations Formulas Calculator
As a result there is no relatively simple equation for hydraulic radius in terms of flow depth and pipe diameter. Q and V are the flow rate and velocity with depth of flow y in a pipe of diameter D. Excel formulas, however, make use of the rather inconvenient equations for partially full pipe flow easy to use. Four downloadable Excel spreadsheet templates for making different types of partially full pipe flow calculations are presented and discussed in the rest of this article. If the pipe slope and Manning roughness coefficient are known, then the Manning equation can be conveniently used to calculate flow rate and velocity for the given depth of flow.
This Excel workbook streamlines calculations required for flow through pipes that are only partially full, such as storm sewers and drainage pipes. It automates.
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Bengtson, PhD, P. Continuing Education and Development, Inc. IntroductionThe Manning equation can be used for uniform flow in a pipe, but the Manningroughness coefficient needs to be considered to be variable, dependent upon thedepth of flow. This course includes a review of the Manning equation, along withpresentation of equations for calculating the cross-sectional area, wetted perimeter,and hydraulic radius for flow of a specified depth in a pipe of known diameter. Equations are also given for calculating the Manning roughness coefficient, n, for agiven depth of flow in a pipe of known diameter. Numerous worked examplesillustrate the use of these equations together with the Manning equation forpartially full pipe flow. A spreadsheet for making partially full pipe flowcalculations is included with this course and its use is discussed and illustratedthrough worked examples.