Phenomenological correlation

A phenomenological correlation of CHF can be developed by combining the subcooling effect and the flow friction effect on the CHF. This is done by substituting Eq. (5-19) into Eq. (5-18), yielding... 

Analysis of compound dynamic instabilities. As mentioned in the previous section, most of the compounded and feedback effects are built into computer codes for analyzing dynamic instabilities. These computer codes can be used to analyze compound dynamic instabilities such as BWR instability and parallel-channel instability. However, thermal instability between transition boiling and film boiling cannot be analyzed, because of the lack of phenomenological correlation of transition boiling. 

The energy level values of the lowest spectroscopic term of the electronic configuration of lanthanide as well as actinide atoms, were tabulated by Brewer. Such tables are very useful for phenomenological correlations concerning actinide metals (see Chap. C). From these tables one can obtain Table 1 giving the ground state and the first excited level of the actinide atoms as well as of the lanthanide atoms for comparison ... 

Many scientific papers (J ) on membranes are primarily concerned with phenomenological correlations between the preparation of the membrane and its performance, including fluid permeability and permselectivity to solutes. The performance of the membrane is principally governed by its pore characteristics in a complicated manner (2 ). These pore characteristics in turn are influenced by the molecular characteristics of the polymer and the preparative method ( , ). 

Phenomenological Correlations Between Optical Spectra and Magnetic Properties... 

In the mid-1980s, when the NMR spectroscopy of nuclei other than H became routinely accessible, substance collection and recording were performed in order to create data banks for further assignment purposes. As a result, considerable phenomenological correlations of the NMR parameters were able to be drawn up. H- C coupling constants via one to six bonds of a large variety of methyl-substituted polythiaadamantanes, which incorporate the... 

At small deflection from equilibrium is observed linear correlation between action of individual forces F. and the rate V. of flows they form. Such linear correlation forms the foundation of many laws (Darcy, Pick, Fourier, etc.) and is called phenomenological correlation or constitutive equation. That is why, if the migration rate of component i depends simultaneously on the action of several different forces j, it may be expressed as a sum of linear function ... 

This process is rxiled only by a law discovered by German physiologist Adolph Pick (1829-1901) in 1855 and bears his name. Pick law. In this phenomenological correlation the motivating force f. is concentration gradient of the component i, and its consequence is a diffusive flux at a rate... 

A model that pictures the interface as a thin layer with high viscosity (the Bous-sinesq model [2]) has gained widespread acceptance. For such a layer, one has to write down a special phenomenological correlation that connects the surface stress tensor with the rate of surface strain tensor [25). Paper [26] uses this model to examine the problem of the influence of surfactants on the dynamics of a free interface. 

Hydrophobic Association in Muscle Contraction and in Contractile Model Proteins Phenomenological Correlations... 

As reviewed in Chapter 7 with a focus on the issue of insolubility, extensive phenomenological correlations exist between muscle contraction and contraction by model proteins capable of inverse temperature transitions of hydrophobic association. As we proceed to examination of muscle contraction at the molecular level, a brief restatement of those correlations follows with observations of rigor at the gross anatomical level and with related physiological phenomena at the myofibril level. Each of the phenomena, seen in the elastic-contractile model proteins as an integral part of the comprehensive hydrophobic effect, reappear in the properties and behavior of muscle. More complete descriptions with references are given in Chapter 7, sections 7.2.2, and 7.2.3. 

Molecular simulation using realistic force fields provides a reliable prediction of diffusion coefficient (D). However, it is computationally expensive and cannot be used for routine engineering calculations. An alternative approach is to develop phenomenological correlations that represent accurately experimental or molecular simulation data and can be interpolated or even extrapolated in other range of conditions. In the past, many empirical correlations have been developed with varying degree of success (Wilke and Chang (1955), Leahy-Dios and Firoozabadi (2007), Matthews et al. (1987) and Erkey et al. (1990)) [10] [13] [6]. 

This section is dedicated to phenomenological correlation between the internal structure and the external shape/form/morphology of crystalline states the present discussion follows (Chiriac-Putz-Chiriac, 2005). 

The qualitative analaysis of bistability based on the catastrophe theory was carried out [159]. The bistability conditions were shown to depend crucially on polar anchoring energy Wp. For large Wp, the occurrence of a third stable state with a splayed director profile should be taken into account. If the polar energy is small, compared with the dispersion energy which is close to experimental data [76], the following phenomenological correlations between the bistability threshold and the FLC parameters were obtained [159] ... 

The Figure 3. 24(a) depicts the phenomenological correlation between electronegativity and hardness for a given chemical species leaving with their natural classification as acids and bases on the electronegativity scale and hard and soft on the hardness scale as their positions are more departed from the (0, 0) origin point within the chemical space (x, fj)-... 

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