The corresponding dimensionless
characteristics [k.sub.I] and [k.sub.R] in (3) take the form
Let us now introduce dimensionless
variables and parameters, where space variables are dimensionless
over [R.sub.1], and the magnetic field is dimensionless
We derived the heuristic models by first simplifying the governing equations and transforming them into dimensionless
form applying the theory of similarity.
By introducing the dimensionless
quantities [mathematical expression not reproducible] and [mathematical expression not reproducible], Equation 4 can be expressed as a function of [mathematical expression not reproducible] and t* only.
The surprisingly consistent shift of the mixed lubrication transition, obtained with the performed scaling of the microgeometry, suggests a theoretical explication based on a geometrical dimensionless
formulation detailed in Section 2.
where [T.sup.*.sub.i] = ([T.sub.i] - [T.sub.cold])/([T.sub.hot] - [T.sub.cold]) is the dimensionless
As shown in Figure 1(a), the dimensionless
bond strength first increased and then decreased with an increase in corrosion level.
Firstly, five dimensionless
ratios are defined to quantify the differences of two CAV-diluted pollutants.
Here we will use it to normalize time t by introducing a dimensionless
time, [tau] = t[[mu].sup.B]/[eta].
An echocardiogram was performed during her first prenatal care visit showing a heart rate of 61 bpm, peak velocity of 360.5 m/s, peak gradient across valve of 52 mmHg, mean gradient across valve of 28.9 mmHg, and dimensionless
equations for continuity, momentum, and energy equations with the Bousinesq approximation and negligible viscous dissipation can be expressed in following form: