Turbulent flow Sample Clauses

Turbulent flow. Let us now consider the case that the fluid is moving much faster, such that downstream of an obstruction in the flow turbulence arises in the matter current. In Figure 3.3 we have indicated a typical stream line showing that the flow is now characterized by a finite vorticity in the re- gion behind the obstruction. Let us now repeat the exercise, assuming that fluid elements arrive at the obstruction with aligned magnetization vectors. Following a fluid element when it traverses the region with finite circulation it is immediately obvious that even for a fixed precession rate the non-Abelian charge/magnetization becomes multivalued when it has travelled around the vortex! Henceforth, at long times the magnetization will average away and the spin current actually disappears at the ’sink’ associated with the rotational Abelian flow. This elementary example highlights the essence of the problem dealing with non-Abelian ’hydro- dynamics’: the covariant conservation principle underlying everything is good enough to ensure a local conservation of non-Abelian charge so that one can reliably predict how the spin current evolves over infinitesimal times and distances. However, it fails to impose a global conservation. This is neatly illustrated in this simple hydrodynamical example: at the moment the mass flow becomes topologically non-trivial it is no longer possible to construct globally consistent non-Abelian flow patterns with the consequence that the spin currents just disappear. Although obscured by irrelevant details, the above motive has been recognized in the literature on spin flow in semiconductors where it is known as D’yakonov-Perel spin relaxation. We hope that the analogy with spin-transport in solids is helpful for the community that is trying to find out what is actually going on in the quark-gluon fireballs. Because one has to deal eventually with the absence of hydrodynamics we are pessimistic with regard to the possibility that an elegant description will be found, in a way mirroring the state of spintronics. We will instead continue now with our exposition of the remarkable fact that the rigidity associated with order parameters is not only simplifying the hydrodynamics (as in the Abelian case) but even making it possible for hydrodynamics to exist! Fluid element Non−Abelian charge Direction of laminar flow Electric field 3.1: Laminar flow of a classical spin fluid in an electric field. The fluid elements (blue) carry non-Abelian charge, the r...
Turbulent flow the Gaussian Puff Model In practice the contaminant will not be immediately well mixed in the air and there will be some transient period of flow dispersion and mixing potentially on a scale similar to the dwelling time of individuals in the area. When bacteria are aerosolised they become subject to local turbulent forces (causing random movement of the air packet within which the aerosol is contained) as well as longer range advective processes (transport of the packet by the dominant airflow). There are a number of models for the atmospheric dispersion of aerosol material. It is not within the scope of PANDHUB to perform a systematic review of such techniques because we are interested in a hub setting specifically. Stockie provides a helpful review of the assumptions made and the derivation of the classical Gaussian plume model and the reader is referred to this article and references therein for detail (Stockie 2011). The aim is to solve the three-dimensional advection-diffusion equation &C + ∇. (uC) = ∇. (K ∇C) + S − yC &t where C(t, x) is the concentration of the infectious agent in time and space. For illustration at this stage we make the further assumptions to I above:

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  • Safety Glasses Section 1. The City shall supply prescription safety glasses with plastic lenses to employees who are required to wear safety glasses and who are members of the classifications contained in Appendix C to this contract. Safety glasses which are authorized must be industrial grade safety glasses which meet or exceed the requirements of ANSI Specification Z87. 1. All employees who are required to wear safety glasses shall also be required to wear side xxxxxxx, either permanent or snap-on, whenever an eye hazard exists. Solid tinted glasses will not be approved unless required by prescription. Photogray, progressive, scratch coating and/or anti-glare lenses may be considered for those employees who primarily work outdoors or as prescribed. In the event that additional classes are identified as needing either prescription safety glasses or protective eyewear, such classes may be added to the classification list in Appendix C upon approval of PAGE and the City. Section 2. The City agrees to pay the full cost of required prescription safety glasses, with frames not to exceed $75.00. This excludes the cost of the eye examination which will be the responsibility of the employee. The effected employees will be allowed one (1) replacement of safety glasses every two (2) years. In the event the safety glasses become lost, unserviceable, or broken on the job, the employee must present a written request for replacement to the Department Head and Human Resources Director. If the employee breaks his safety glasses while on the job, the Department shall replace the glasses at no cost to the employee. The replacement of lost glasses or glasses that are broken off the job will be at the discretion of the Department Head and Human Resources Director. If an employee has been provided safety glasses by the City, the employee shall be permitted to retain possession of the glasses after separation from the City without reimbursing the City for any costs associated with the glasses. Section 3. An employee who is required to wear prescription safety glasses must present a written request to his department head or designated representative. Section 4. The employee must obtain a current prescription and the employee is authorized the use of sick leave not to exceed two (2) hours to accomplish this examination. The employee will obtain a purchase order from the Department Head prior to ordering the safety glasses. The employee will present the purchase order to the appropriate vendor when ordering. The vendor will contact the appropriate Department Head when the glasses are ready for delivery. The Department Head will then notify the employee who will present himself at the vendor for fitting and pickup. Section 5. In the event a probationary employee has been issued safety glasses and terminates his employment with the City for any reason during the probationary period, he shall be required to reimburse the City for any expenses incurred in the purchase of safety glasses.

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