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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]
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 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.
Defining equation SI units Dimension AM index: h, h AM = / A = carrier amplitude A m = peak amplitude of a component in the modulating signal . dimensionless dimensionless FM index: h FM = / Δf = max. deviation of the instantaneous frequency from the carrier frequency
For channels of a given width, the hydraulic radius is greater for deeper channels. In wide rectangular channels, the hydraulic radius is approximated by the flow depth. The hydraulic radius is not half the hydraulic diameter as the name may suggest, but one quarter in the case of a full pipe. It is a function of the shape of the pipe, channel ...
Eq.2b is a fundamental equation for most of discrete models. The equation can be solved by recurrence and iteration method for a manifold. It is clear that Eq.2a is limiting case of Eq.2b when ∆X → 0. Eq.2a is simplified to Eq.1 Bernoulli equation without the potential energy term when β=1 whilst Eq.2 is simplified to Kee's model [6] when β=0
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 ...
Expanding the derivatives in the above using the product rule, the non-conservative form of the shallow-water equations is obtained.Since velocities are not subject to a fundamental conservation equation, the non-conservative forms do not hold across a shock or hydraulic jump.