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A. Mahdavi and N. Talebbeydokhti, 2015, propose a hybrid algorithm for implementation of solid boundary condition and simulate flow over a sharp crested weir [20] S. Tavakkol et al., 2016, develop curvSPH, which makes the horizontal and vertical size of particles independent and generates uniform mass distribution along curved boundaries [21]
For free flow, the equation to determine the flow rate is simply Q = CH a n where: Q is flowing rate (ft 3 /s) C is the free-flow coefficient for the flume (see Table 1 below) H a is the head at the primary point of measurement (ft) (See Figure 1 above) n varies with flume size (see Table 1 below) Parshall flume discharge table for free flow ...
In a nozzle or other constriction, the discharge coefficient (also known as coefficient of discharge or efflux coefficient) is the ratio of the actual discharge to the ideal discharge, [1] i.e., the ratio of the mass flow rate at the discharge end of the nozzle to that of an ideal nozzle which expands an identical working fluid from the same initial conditions to the same exit pressures.
The broad crested weir at the Thorp grist mill in Thorp, Washington, US. Commonly, weirs are used to prevent flooding, measure water discharge, and help render rivers more navigable by boat. In some locations, the terms dam and weir are synonymous, but normally there is a clear distinction made between the structures. Usually, a dam is designed ...
The Camassa–Holm equation can be written as the system of equations: [2] + + =, = + + (), with p the (dimensionless) pressure or surface elevation. This shows that the Camassa–Holm equation is a model for shallow water waves with non-hydrostatic pressure and a water layer on a horizontal bed.
Position of free surface is corrected to compensate for the non-zero mass flux with the volume flux due to the movement of the each free-surface cell face by enforcing the kinematic boundary conditions. Iterate until no further correction is needed, satisfying the continuity and momentum equations. Advance to the next time step. [1]
There are also man-made hydraulic jumps created by devices like weirs or sluice gates. In general, a hydraulic jump may be used to dissipate energy, to mix chemicals, or to act as an aeration device. [1] [2] To produce equations describing the jump, since there is an unknown energy loss, there is a need to apply conservation of momentum. [3]
Schematic of D2Q9 lattice vectors for 2D Lattice Boltzmann. Unlike CFD methods that solve the conservation equations of macroscopic properties (i.e., mass, momentum, and energy) numerically, LBM models the fluid consisting of fictive particles, and such particles perform consecutive propagation and collision processes over a discrete lattice.