Analytical designs

Analytical design techniques, which predict the magnitude of local airflow and provide a basis for sizing exhaust systems, are not immediately available for... 

B. Expansion in a Basis Analytic Design of Optimal Laser Pulses Summary... 

One of the difficulties with optimal control theory is in identifying the underlying physical mechanism, or mechanisms, leading to control. Methods [2, 7, 9, 14, 26-29], that utilize a small number of interfering pathways reveal the mechanism by construction. On the other hand, while there have been many successful experimental and theoretical demonstrations of control based on OCT, there has been little analytical work to reveal the mechanism behind the complicated optimal pulses. In addition to reducing the complexity of the pulses, the many methods for imposing explicit restrictions on the pulses, see Section II.B, can also be used to dictate the mechanisms that will be operative. However, in this section we discuss some of the analytic approaches that have been used to understand the mechanisms of optimal control or to analytically design optimal pulses. Note that we will not discuss numerical methods that have been used to analyze control mechanisms [145-150]. 

Various types of reactor configuration may be employed to effect non-catalytic gas—solid reactions. Events occurring during such reactions (see Sect. 5) are complex and industrial equipment for particular applications has evolved with operating experience rather than as a result of analytical design. Those factors which influence the course of the reaction are the reaction kinetics (as observed for a single particle), the size distribution of the solid reactant feed and the flow pattern of both solid and gas phases through the reactor. An excellent account of gas—solid reactions and... 

CONCEIVED and PRESENTED customized analytics designed to assess Asset Liability Management risk profiles, which led to increased sales of securities to banks, credit unions, and municipalities. 

Figure 4.8 Common optode designs using fiber optics, (a) Chamber or membrane with a single bioluminescent, fluorescent, or phosphorescent indicator dye at the distal end of an optical fiber, (b) Differential or dual-analyte design with two separate indicator dyes. Evanescent waves are produced using (c) step-etched, (d) tapered, or (e) heat-stretched designs.

Analytical Design of Linear Feedback Controls, by G. C. Newton, Jr., L. A. Gould, and J. E Kaiser, John Wiley Sons, Inc., New York (1957). 

R. Prasad, K.K. Sirkar, Analytical design equation for multi-component RO processes by spiral-wound module, Ind Eng. Chem. Prod. Res. Dev. 24, 1985, 356. 

Something similar also applies to the analytical design approach of flexible pavements. The main difference with other structures composed of reinforced concrete, or steel, lies in the fact that asphalts (bituminous mixtures) do not behave as elastic material but as viscoelastic material owing to the presence of bitumen. The rest of the structural materials of pavements, such as compacted aggregates, stabilised aggregates or soil with binders other than bitumen, as well as untreated soil, may be characterised as materials with elastic behaviour. 

Brown S.E 1980. An Introduction to Analytical Design of Bituminous Pavements. Nottingham, UK University of Nottingham. 

A thermodynamic equilibrium constant called the distribution constant, was presented in Chapter 1 as the controlling parameter in determining how fast a given solute moves down a GC column. For a solute or analyte designated A,... 

Many factors affect the ability of a building and the assemblies of materials in it to continue to carry loads during a fire. Designers use analytical design, data from design tables and guides, code requirements, and test results to reach decisions. 

Assurance of snubber operability for the System 80+ Standard Design is provided by incorporating analytical, design, installation, in-service, and verification criteria. The elements of snubber operability assurance include ... 

Plastics are materials that behave in a complex manner when subjected to physical and environmental stresses. The intuitive design approaches used by many designers to overcome the lack of knowledge of the performance characteristics of these materials has led to a combination of over-design and product failures. The approach here is to review the fundamentals of material structures and provide a background for an analytic design procedure for plastics products. This is carried out in the area of structural loads, cyclical loads, electrical field exposure, environmental exposure, and the other types of in-use exposure to which plastics components may be exposed. 

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