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Mannings Pipe Flow Calculator . However, this equation is also used for calculation of flow variables in case of flow in partially full conduits, as they also possess a free surface. This simplifies the manning equation, making the desired. Manning's Equation CivilWeb Spreadsheets from civilweb-spreadsheets.com The equations below are those used, together with the manning equation and q = va, in the partially full pipe flow calculator (excel spreadsheet) for flow depth more than pipe radius, as shown below. K is a unit conversion factor: A = cross sectional area of pipe, culvert or channel.