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A total of 16 standard sizes of Cutthroat flumes have been developed, covering flow ranges from 0.3536 gpm [0.0223 L/s] to 54,801 gpm [3,458 L/s]. [ 2 ] Free-flow equation
Volumetric flow rate is defined by the limit [3] = ˙ = =, that is, the flow of volume of fluid V through a surface per unit time t.. Since this is only the time derivative of volume, a scalar quantity, the volumetric flow rate is also a scalar quantity.
Flux F through a surface, dS is the differential vector area element, n is the unit normal to the surface. Left: No flux passes in the surface, the maximum amount flows normal to the surface.
The relationship between gallons per minute (gpm) and fixture unit is not constant, but varies with the number of fixture units. For example, 1000 FU is equivalent to 220 US gallons per minute (0.014 m 3 /s) while 2000 FU represents only 330 US gallons per minute (0.021 m 3 /s), about 1.5 times the flow rate.
In fire protection engineering, the K-factor formula is used to calculate the volumetric flow rate from a nozzle. Spray nozzles can for example be fire sprinklers or water mist nozzles, hose reel nozzles, water monitors and deluge fire system nozzles.
These final two equations are very similar to the Q = CH a n equations that are used for Parshall flumes. In fact, when looking at the flume tables, n has a value equal to or slightly greater than 1.5, while the value of C is larger than (3.088 b 2 ) but still in a rough estimation.
The metric equivalent flow factor (K v) is calculated using metric units: =, where [3]. K v is the flow factor (expressed in m 3 /h), Q is the flowrate (expressed in m 3 /h), SG is the specific gravity of the fluid (for water = 1),
The Darcy-Weisbach equation was difficult to use because the friction factor was difficult to estimate. [7] In 1906, Hazen and Williams provided an empirical formula that was easy to use. The general form of the equation relates the mean velocity of water in a pipe with the geometric properties of the pipe and the slope of the energy line.