Sentence examples for the solution regimes from inspiring English sources

Also, this work has filled in some of the solution regimes for an impact pair, which were missed previously in the literature.

Hence the solution regime can be systematically investigated by imposing these two additional conditions q 1 ( 0 ) = 0 and q 2 ( 1 ) = 0 instead of two dimensional parameters.

For other spinning set-ups the investigation of the solution regime requires the determination of the roots of - not only one, but - two classifying functions in a high-dimensional parameter space.

In principle, this solution could be at either q* = q m or q* = q M. From the condition L q ′ = 0, and from the hypotheses on the functions of the problem, it holds that π′(q*) < 0, and so the solution is given by q* = q M. Another interesting feature of this model is that it generates a change in the solution regime when the solution passes from interior to binding or vice versa.

The monotonicity allowed the analytical determination of limiting hyperplanes and the numerical exploration of the different solution regimes.

We explore the applicability (solution regime) and the properties of the model, in particular whether it allows for a die swell.

Rheological studies revealed the concentration (ϕ, volume fraction) dependence of zero-shear viscosity (ηo) to be ηo ∼ ϕ3.87 in the entangled solution regime, and the entanglement concentration (ϕe) was 7.84 vol.%.

The strengthening measured in alloyed thin films can be adequately predicted in the solid solution regime only by combining solute strengthening with a grain boundary pinning model.

First, the viscoelastic solution regime may be limited by the root of q 2 depending on the chosen boundary conditions, whereas the viscous model ( We = 0, q 2 = 3 ) has solutions for all ( Re, Fr ).

In the semi-dilute solution regime, the hydrophobically modified associative polymer exhibits higher viscosities when compared to the unmodified analogue.

Parametric continuation is performed to compute steady state solution regimes predicted by the model.