and use the dimensionless parameters b and q, defined in the 'Introduction' section.
In Figure 7b, we show the same regime diagram using the dimensionless parameters.
A better understanding of the peak pressure scaled distance plot in TM5-855-1 is provided using the dimensionless parameters.
Using the dimensionless surface parameter (S and Si), some empirical relationships between UCS – CTF/S (with R2 ≥ 0.80) and E – IM/Si (with R2 ≥ 0.77) were proposed for predicting UCS and E of sandstone particles with different shapes and dimensions.
However, if we assume that the ability to generate shell material (hence to grow) is proportional to body mass (see [ 51] Chapter 16, but also [ 52, 53]) we can predict the growth, or at least a function proportional to growth, using only the dimensionless parameters we have.
Using the dimensionless corner energy parameter of (B=0.06) in the classical model sufficiently regularizes the final shape, which excellently matches with the prescribed equilibrium shape, as displayed in the top-left plot of Fig. 6.
We used this dimensionless parameter because there is no reason to retain D and wg as independently adjustable parameters: rapid diffusion across a wide gap is equivalent to slow diffusion across a narrow gap and vice versa.
In the experiment, a high-molecular-weight gas (Refrigerant-134A) at ambient pressure and temperature conditions was used to match the dimensionless parameters at engine conditions.
The scalar roughness length (zoh) representing heat transport mechanism and described by the dimensionless parameter kB−1 was used to account for the discrepancy between Ts and To.
When a increases, first, we observe decrease of the tumor size, and then, as soon as a = a opt, the equilibrium tumor size starts to grow again (Fig. 6, the dimensionless parameter δ is used instead of the dimensional parameter a).
