From these equations we can determine the consistency index and the power law index at the two temperatures.

The Power Law describes how so-called "critical systems" like those that produce earthquakes and forest fires are completely undiscriminating about the scale of the event.

Taylor's power law relationships (Taylor 1984) were conducted for each H.

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Now, we assume the power law form of scale factor; that is, a = [a.sub.0][t.sup.n], where n and [a.sub.0] appear as constant parameters.

The P(t) and [psi](t) in bent tube and in hemisphere are reduced by the factor 1/2 and 1/4, respectively, which makes the comparison in Figure 2 clear without altering the power law. We take the values of power from the data of P(t) because [psi](t) has more violent fluctuations.

dispersion) and they observed that the statistical distribution of these variations follows a power law taking the following form:

where [eta] is the viscosity, [??] is the one component shear rate (the absolute value brackets are used because viscosity is positive definite), and n is the power law constant.

The most common type of Non-Newtonian power law behavior is shear thickening fluid (n > 1), where the viscosity appears to increase when the shear rate increases [14].

The following generalized power law can be derived from the Hencky total deformation theory [13]:

The data also demonstrated that this relationship between quantity and quality is a power law, which matched well with the predictions of our model.