Parametric relationship

FIGURE 4.46 Characteristic parametric relationships of premixed turbulent combustion. The Klimov-Williams criterion is satisfied below the heavy line Zk = 8L. 

In addition, we need to hnd a parametric relationship for zo, which will be equal to Z0H2O at velocities above 2 m/s, because the boundary of the water surface will... 

A strong anharmonie interaction between the vibrations approximately described as rXH and vX.ll Y. There is independent evidence for a parametric relationship between the X Y and X—H interim clear distances from diffraction studies. The resulting effect on the vibrational spectrum increases with the anharmonicity and amplitude of both types of vibration, and seems to be most completely described by a type of energy level scheme proposed by Stepanov. A slight extension of this theory proposed here enables it to explain the persistence of broad vX l absorption regions at low temperatures. 

The dependency between four dimensional quantities, containing two base dimensions (L and T) in their dimensions, is reduced to a 4 - 2 = 2 parametric relationship between dimensionless expressions ( numbers ) ... 

An interesting parametric relationship exists between Av/Vg and Aa/k arising from thin-film acoustoelectric perturbations. From Equations 3.29 (a and b) [48],... 

However, the kinetic rate constants are functions only of the instantaneous translational temperature V. Using this fact and the definition (35), yields the parametric relationship ... 

The requirements of powder characterization are complicated by the fact that a large number of properties must be defined to understand its characteristics completely. A review of Table 1 shows that this task is not simple because the powders are complex materials consisting of numerous features. Therefore, ceramists are faced with the question of what characteristics of powders to measure for a given process. Commonly, an answer to this question lies in the development of parametric relationships between the powder properties and their influence on the performance of the ceramic. The next question is how to measure the powder characteristics. A program has been in progress... 

Because of the parametrical relationships created in the background of the process, the user is in a position to modify the dimensions and topology of the geometry later in the project. Costly reworking of the model due to changes of the boundary conditions is avoided. 

Finally we would like to mention the simple parametric relationship of Cramer and Truhlar [48] that includes the dispersion and cavitation term together... 

This equation is quadratic in k and kc and can be solved to find parametric relationships for the onset of the flutter instability (either for as a function of or vice versa). The conditions for the existence of positive real solutions to (7.25) are given by the following lemma. 

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