To using the results of physical model in the real world, the results should be presented in dimensionless
The same conclusions can be made for dynamic distributions of the dimensionless
transverse stress at the same point (Fig.
Adimensionalizing with the variables in Table 2 yields the dimensionless
pressure gradient in the fluid under the flexing blade as follows:
The search for mathematical expression for this dimensionless
number motivated many serious scientists.
damping coefficient is determined on the basis of dimensionless
DF Number of trees to be subjected to cutting (deforestation), dimensionless
Numbers, having no specific unit of measurement, are obtained for instance by deduction, multiplication or division.
Kolitawong and Giacomin (20) derived the following dimensionless
axial velocity profile between eccentric cylinders for power-law liquids in bipolar cylindrical coordinates,
After introducing dimensionless
variables X = x/L, T = t[c.
the cloth filter modules must be calculated by the contractor or to dimensionless
S,t)-the angle of torsion of the cross section relative to axis X ; w(s, t) = W (S, t)/a-dimensionless
displacements (determined in right-handed local coordinate system x = X/a, y = Yja) perpendicular to the girder's plane; s = S/a-a dimensionless
parameter describing girder axis s [member of] <-1, 1> ; [kappa](s) = aK (S)-the dimensionless
curvature of the girder; dimensionless
material and geometrical characteristics: p = [bar.
Based on dimensional analysis, the main dimensionless
parameters affecting TSIFs were identified, and the dependence of TSIFs on these parameters was illustrated, such as dimensionless
time, crack depth, and thermal constants as well as mechanical constants.
The wall temperature fluctuations are assumed to be zero and the dimensionless
temperature boundary condition is [THETA] = 0.
In the above, dimensionless
parameters have been defined as
groups obtained from the literature review for gravity displacements are listed in Table 1.