dissipation function

dissipation function

[‚dis·ə′pā·shən ‚fəŋk·shən]
(fluid mechanics)
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In particular, the various concepts of passivity as standard passivity, strict input passivity, strict output passivity, and very strict passivity (i.e., joint strict input and output passivity) are given and related to the existence of a storage function and a dissipation function. Basic previous background concepts on passivity are given in [1-4] and some related references therein.
After a heap of examinations, ALTLED successfully developed "Lodestar Series - Heat-Resistant LED lights." In comparison to other normal LEDs, the Lodestar Series is able to maintain not only the heat dissipation function, luminous efficiency and right color rendering in 90 Celsius ambient temperature, but also top dust and water protection rating; IP68, to ensure the Lodestar Series is the best lighting solution choice for harsh environments and industrial locations.
Based on the Lagrange equation and the Rayleigh dissipation function one can model systems using the mechanical mass-spring and pendulum type system, respectively.
where: [E.sub.k], [E.sub.p], [PHI] and [Q.sup.n.sub.i] represent kinetic energy, potential energy, a dissipation function and appropriate generalized non-conservative forces respectively.
where T, [PI] are kinetic and potential energy of the system, respectively; [PHI] dissipation function; [x.sub.i], [[??].sub.i] i-th generalized Lagrangian coordinate, shortly referred to as the coordinate, and its time (t) derivative; [F.sub.i] (t) the generalized outside force acting along the coordinate [x.sub.i].
where: L is the Lagrange operator, defined as: L = T--V, T and V represent the kinetic energy, and the potential energy; F is the dissipation function; F are the constraints equations; [lambda] --is the Lagrange multipliers vector for constraints; [xi]--generalised coordinates; Q--generalised forces (projected on [xi]).
The actual form of the entropy production or better of the energy dissipation function reads
With a fixed revenue constraint and a fixed "tax dissipation function" (how taxpayers react to loophole closing), the answer would be predetermined, so such an approach would not work as a way to think about tax shelters.
The rate of dissipation function is associated with the irreversible nature of crystallization.
Equation 20 describes the form of the dielectric dissipation function that is predicted by the model and provides shear rate and temperature dependences that are experimentally compared to the corresponding melt rheological quantities.
The dimensionless viscous dissipation function [[Phi].sup.*] is given by: