Natural length

Traditionally, cyclone dimensions are multiples of outiet pipe diameter D. Typical barrel diameters are 2D but efficiency increases at constant up to a 3Z9 barrel diameter. Efficiency also improves as barrel and cone length are increased at constant up to the natural length of the vortex. At constant inlet velocity, efficiency increases as outiet diameter (and all ratioed dimensions in a family of cyclones) is decreased. Improved efficiency is attained at the... 

It is very useful to minimize significant variables by expressing the equations in dimensionless terms. To do this we need a characteristic length to normalize z. If we had a finite source diameter, D, it would be a natural selection however, it does not exist in the point source problem. We can determine this natural length scale, zc, by exploring the equations dimensionally. We equate dimensions. From Equation (10.22),... 

This length scale can be associated with flame height and the size of large-scale turbulent eddies in fire plumes. It is a natural length scale for fires. 

The main chain is chemically different from the branches in case of graft copolymers with branched molecules. The chemical nature, length and concentration of side chains may be different in each case. A graft copolymer may be schematically represented as in following figure ... 

The structure of polymer surfaces and thin polymeric films at the mesoscopic scale is of interest, both for application and basic research [1] As the size of many technological devices decreases, the natural length scales of many typical polymers such as the radius of gyration, the persistence length, or the domain size in block copolymers, match the feature size and thus the materials are expected to display a new behaviour [2-5], On the other hand, the tendency towards spontaneous structure forma-... 

The opposite effect would have been produced by a code which contained only one termination codon. In this case the average protein length would have been three times the natural length, and would have produced a world of maxiproteins. 

The natural lengths of the intracellular domains of the TNF receptors may range from 36 residues as in 0x40 to several hundred residues as in TRANGE-R. Amino acid analyses using the PHD program (Rost and... 

Mouschovias T. Ch. (1991) Magnetic braking, ambipolar diffusion, cloud cores, and star formation natural length scales and protostellar masses. Astrophys. J. 373, 169-186. 

Natural length, 1 the distance below the gas outlet where the vortex turns, vaby... 

C CALCULATE VOLUME AT NATURAL LENGTH EXCLUDING THE CORE, ft 3... 

As seen earlier, there is a natural length scale in this problem, namely, Tc = 2yi t/ Et,, and it is similarly convenient to introduce the dimensionless time tQ = 2yintlMEl. In light of these definitions, the radius may be written in dimensionless form as / = r/fc, with a similar dimensionless time given by r = t/to. Using these definitions, eqn (10.48) may be rewritten as... 

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