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The need for the hydraulic diameter arises due to the use of a single dimension in the case of a dimensionless quantity such as the Reynolds number, which prefers a single variable for flow analysis rather than the set of variables as listed in the table below. The Manning formula contains a quantity called the hydraulic radius.
An example of a map displaying a stream power index (SPI) alongside an index displaying how wet the ground is (TWI) Stream power is used extensively in models of landscape evolution and river incision. Unit stream power is often used for this, because simple models use and evolve a 1-dimensional downstream profile of the river channel.
The blue figure shows an example of results of a computer aided calculation with the amplified drainage equation using the EnDrain program. [11] It shows that incorporation of the incoming energy associated with the recharge leads to a somewhat deeper water table .
Williams, Gardner Stewart; Hazen, Allen (1914), Hydraulic tables: the elements of gagings and the friction of water flowing in pipes, aqueducts, sewers, etc., as determined by the Hazen and Williams formula and the flow of water over sharp-edged and irregular weirs, and the quantity discharged as determined by Bazin's formula and experimental ...
The discharge formula, Q = A V, can be used to rewrite Gauckler–Manning's equation by substitution for V. Solving for Q then allows an estimate of the volumetric flow rate (discharge) without knowing the limiting or actual flow velocity. The formula can be obtained by use of dimensional analysis.
The hydraulic calculation procedure is defined in the applicable reference model codes such as that published by the US-based National Fire Protection Association (NFPA), [2] or the EN 12845 standard, Fixed firefighting system – Automatic sprinkler systems – Design, installation and maintenance.
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A culvert under the Vistula river levee and a street in Warsaw. Construction or installation at a culvert site generally results in disturbance of the site's soil, stream banks, or stream bed, and can result in the occurrence of unwanted problems such as scour holes or slumping of banks adjacent to the culvert structure.