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A polynomial weir is a weir that has a geometry defined by a polynomial equation of any order n. [11] In practice, most weirs are low-order polynomial weirs. The standard rectangular weir is, for example, a polynomial weir of order zero. The triangular (V-notch) and trapezoidal weirs are of order one. High-order polynomial weirs are providing ...
The equation is = / where: Q is the discharge in cubic feet per second over the weir, L is the length of the weir in feet, and h 1 is the height of the water above the top of the weir. [14] [15] [further explanation needed]
The Schrödinger equation may then be reduced to the case considered here by an ansatz for the wave function of the type: (,,) = (,). For another, related model of a barrier, see Delta potential barrier (QM) , which can be regarded as a special case of the finite potential barrier.
Hydraulic jump in a rectangular channel, also known as classical jump, is a natural phenomenon that occurs whenever flow changes from supercritical to subcritical flow. In this transition, the water surface rises abruptly, surface rollers are formed, intense mixing occurs, air is entrained, and often a large amount of energy is dissipated.
In case there is no friction and the channel has a rectangular prismatic cross section, the Saint-Venant equations have a Hamiltonian structure. [17] The Hamiltonian H is equal to the energy of the free-surface flow: H = ρ ∫ ( 1 2 A u 2 + 1 2 g B ζ 2 ) d x , {\displaystyle H=\rho \int \left({\frac {1}{2}}Au^{2}+{\frac {1}{2}}gB\zeta ^{2 ...
Nicolson–Ross–Weir method is a measurement technique for determination of complex permittivities and permeabilities of material samples for microwave frequencies. The method is based on insertion of a material sample with a known thickness inside a waveguide , such as a coaxial cable or a rectangular waveguide, after which the dispersion ...
Side channel spillways are typically used to discharge floods perpendicular to the general direction of flow by placing the control weir parallel to the upper portion of the discharge channel. [4] It offers low flow velocities upstream and minimizes erosion. However, it can cause a sudden increase in reservoir level if the channel is submerged.
The velocity of the surface can by related to the outflow velocity by the continuity equation =, where is the orifice's cross section and is the (cylindrical) vessel's cross section. Renaming v 2 {\displaystyle v_{2}} to v A {\displaystyle v_{A}} (A like Aperture) gives: