Examples of dimensionless

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For instance, the ratio of the mass of the proton to the mass of the electron is roughly 1840, which is a pure, dimensionless number.
The vertical velocity component w is calculated from the dimensionless continuity equation (2.15).
In these dimensionless variables, the middle layer therefore has unit depth and speed far upstream and downstream of the solitary wave.
The dimensionless parameters of the diffusion coefficients are 0 = 6.8 and 0 = 0.076.
This field is given in dimensionless units by e #1 !
The results are presented in the form of dimensionless variables.
This system was followed for 12 dimensionless time units.
All of the above equations have been made dimensionless by suitable normalizations.
It is of advantage to express (3.3) in dimensionless form.
If one adds some physical insight t o the process of dimensional analysis, one may find that only certain combinations of the dimensionless variables occur.
All measurementsare plotted in figure 5 in terms of the dimensionless variables obtained from the theory.
The dimensionless formulation of the previous section is retained here.
It is useful to introduce three dimensionless parameters at this point.
Here 7 = y'/2i(x, - x)i, where y' is a dimensionless distance measured normal to the wall.
Then, by a suitable non-dimensionalization (see 3) we isolate the important dimensionless parameters of the problem and set up the equations for asymptotic analysis.
Lastly, there is a further dimensionless parameter in the boundary conditions that measures the cooling rate.

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