Flex parameter

The chain stiffness expressed by the flex parameter F which, for a given chain of molar mass Me, is given by F = Me/Ne, where Ne is the number of elementary (undeformable) segments. F is essentially an increasing function of the content of aromatic nuclei, Ar. 

Table 10.6 Comparison of some stoichiometric, fully cured epoxide-amine networks Tg, glass transition temperature [Ar], aromatic group concentration F, flex parameter (see text) n, crosslink density and [OH], hydroxyl concentration. Note DGEBD = diglycidyl ether of butane diol DGEBA = diglycidyl ether of bisphenol A (i = degree of polymerization) and TGAP = triglycidyl derivative of p-aminophenol ...

If liquids are controlling, the residence time varies from 2.5 to 5 min, half full, depending on water content. With this vessel design parameter In mind, reference should be made to the expected production decline and produced water cut time profiles. A decision can then be made based on calculation of residence times If 75% or 50% unit trains should be designed For the problem illustrated, 2 x 73% units would be selected to permit flex iblllty (Table 4). 

The conclusion that the free-volume fraction at Tg is not a universal parameter for linear polymers of differing molecular structure can be qualitatively confirmed by the following arguments71. Assume that at temperatures far below Tg polymeric chains are in a state of minimum energy of intramolecular interaction, Le. the fraction of higher-energy ( flexed ) bonds is zeroS4. On the other hand, let the equilibrium fraction of flexed bonds at T> Tg obey the Boltzmann statistics and be a function of Boltzmann s factor e/kT. Thus, the fraction of flexed bonds at Tg can be estimated from the familiar expression ... 

Results and conclusions The fault zones at Frechen contain clay fillings of up to 1 m in thickness, derived from extremely plastic shale source beds and smeared out over distances as much as 70 m in dip direction. The generation of substantial smears requires slow fault displacement rates and sufficient shale ductility. When a thick shale source bed is traversed by a normal fault, it is first flexed and eventually disrupted by a pull-apart mechanism that creates room for the emplacement of thick clay smears. Simple theoretical considerations suggest that the source bed thickness to some power n + 1 > 2 may be a key parameter in the ranking of seal quality. The length of continuous smears increases with source bed thickness, but will ultimately be controlled by the smearing process. The latter remains to be investigated. 

In addition, there has been greater use of flexible circuitry and foldable flex circuits requiring a corresponding degree of flexibility in the adhesives used. For these applications, solders or other metallurgical attachment materials have often failed due to cracking, delamination, electrical opens, or changes in electrical parameters. Some... 

Here 3 is a dimensionless parameter equal to -e/kTg where is the flex energy and k is Boltzmann s constant. In accordance with the assumption that Vq decreases monotonically with decreasing equations (1) and (2) can be solved iteratively by maintaining nP and r constant while simultaneously varying Vq until a unique 3 derived... 

The abrasive belt used for these tests was a 3M Flex diamond belt with 125 ULm grit size. The length of the belt is 2133.6 mm and the width is 101.4. The test samples were extruded aluminum oxide 96%, cylindrical shaped, with an average length Lave =101.25 mm (Figure 7.2). The sample material density is p = 3.702 g/crn. Taking into account that these were preliminary tests and that there is very limited data on this type of process, we opted for a full factorial design of the experiments. Thus, the variable process parameters were... 

As final remark, it seems important to stress one more time that the practical exploitation of the flex-ibihty offered by the modeling framework proposed needs to be carefully managed with respect to the data available for the estimation of the many model parameters involved this is fundamental in order to avoid over-parameterization of the model. 

These criteria were apphed to estimation of accessible area in outer port and LNG terminal of Swinou-jscie. Simulations were carried out at simulators in Marine Traffic Engineering Centre over Kongsberg s Polaris fall mission simulator. In project types of vessel were determined from point of economical value of gas transfer and maximal vessel was obtained as a Q-Flex vessel (i.e. of capacity 216000 cu.m.). Pos-sibihty of handling smaller types of vessels has been applied as well. Researches were conducted on 3 types of mathematical LNGC s models of parameters ... 

TRAYS allows the design of sieve-trays, sieve-valve, tunnel-valve, Baycr-valves, bubble trays, Vario-Flex-valve - including all hydraulics parameters and tray efficiency for absorption, desorption and rectification. 

The initial rate t = 0) is b. When t = 0, the rate-controlling parameters are known so this rate can be correlated with those conditions. This method is quite effective if the extent of the reaction is small (< 5% of the reactant consumed) otherwise Eq. (4.25) will systematically underestimate the initial rate. A higher-order polynomial will better fit data for greater extents of reaction, but that approach is not recommended because it sometimes causes unusual flexing of the fit near t - 0 leading to an incorrect estimate of the initial rate. 

Density is often the single parameter that is most clearly related to the physical and mechanical properties of polymers. For many polymers, properties dependent on crystallinity (e.g., stiffness, tear strength, hardness, chemical resistance, softening temperature, yield point) tend to increase with increasing density. Other properties (e.g., permeability to gases and liquids, toughness, flex life) tend to decrease with increasing density [6],... 

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