To reduce complexity of the problem, a nondimensional parameter is introduced to calculate the quality factor.
end{cases}displaystyle end{aligned} (1.3) In the nondimensional problem (1.3): (u(t) ) at time t is the scaled population of similar individuals, (lambda=frac{C}{A B} ) is a prescribed nondimensional parameter.
(u(t) ) at time t is the scaled population of similar individuals, (lambda=frac{C}{A B} ) is a prescribed nondimensional parameter.
These connections can be treated as especial cases, and resisting forces should be determined considering large deformation (i.e., include additional resisting forces due to shear and bending deformation) of top angle's vertical leg by introducing the nondimensional parameter g 4/t t.
The numerical results show that the injection process is sensibly controlled by several nondimensional parameters, which have a clear influence in order to define the corresponding nitrogen distribution throughout the cap.
By systematically exploring the nondimensional parameter two-space of the evolution equation, the regions corresponding to convergent and divergent model responses are uncovered.
Moreover, in the region where the effect of the density-induced natural convection is minimal, the absorption process can be expressed by two nondimensional parameters, namely, the ratio of gas density inside and outside the bubble and a parameter representing the strength of natural convection.
where V∗ is an arbitrarily chosen reference velocity, σ is the normal stress, and a is a nondimensional positive parameter called the direct effect coefficient.
In order to characterize the effect of an antibody on the binding of a toxin to its receptor, we introduce the nondimensional parameter Ψ, the relative reduction in C R due to the introduction of an antibody as follows: (19) Ψ ≡ z (A 0 > 0 ) z (A 0 = 0 ).
The effect of Dundurs' parameter on the pull-off process is analyzed, which shows that a nonoscillatory solution can approximate the general one under some conditions, i.e., larger pulling angle (π/2 is the maximum value), smaller a/R or larger nondimensional parameter value of Δγ/E∗R.
