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Solving the kinetic equations for the growth rate in each case of kinetics derives analytical expressions for the mean radius and variance of size distribution.
However, characterization of the necessary input data, summit asperity height deviation (δs), mean radius and density are not available from commercial roughness measuring equipment.
The accuracy of the prediction depends on the superposition laws and the LEAP tomographic measurements, especially the mean radius and volume fraction of M2C precipitates.
In addition, an empirical correlation between the fraction of the mean radius and the thermal conductivity at a given saturated condition was developed through comparison with the test results.
Summits were considered to be the local maximum points above the surface mean line and calculation of the standard deviation, mean radius and density of the summits are directly numerical performed.
So far, no comprehensive approach is reported in literature that is capable of reproducing simultaneously all fundamental precipitation parameters (phase fraction, mean radius and number density) within a single set of model parameters and over an extended range of temperatures.
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The resulting parametrized model successfully reproduces the measured local chemical composition, volume fractions, mean radii and precipitation strengthening contributions within a single set of model parameters up to 800 °C.
From the tumor diameters, the mean radius (r) and hence the tumor volumes were calculated using the formula V = 4/3π r.
Predictive relationships between the geological properties and seismic velocities of the oolitic reservoirs show that the content, mean diameter, mean radius ratio, and standard deviation of grains and dolomite content are linearly related to seismic velocities, while the porosity has a logistical correlation with seismic velocities.
The results show that the constraint τ* increases with increasing crack length θ, mean radius Rm and radius thickness ratio Rm/t of the pipes.
Open image in new window Fig. 8 Maximum temperature displacement along the circumference defined by the mean radius (a) and along the inner circumference (b).
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