Sentence examples for using the diffusion timescale from inspiring English sources

We will presently see that the problem is of a boundary layer type, and using the diffusion timescale is equivalent to an outer scaling.

Nevertheless, as the thermal timescale is still orders of magnitude larger than the diffusion timescale, we expect the luminosity due to this excess energy to be limited by the former.

Because the diffusion timescale of a molecule across the pore space is much shorter than the dissolution (or precipitation) timescale, the concentration of the solvent S E can be approximated to be uniform in water.

The methodology of the MTS method using the instantaneous timescales of different species is introduced.

We use the following expansions for the bulk diffusion timescale begin{aligned}& C_{h} sim C_{h0} + epsilon C_{h1} + epsilon^{2} C_{h2}, end{aligned} (35) begin{aligned}& C_{V} sim C_{v0} + epsilon C_{v1} + epsilon^{2} C_{v2}, end{aligned} (36) begin{aligned}& Psi_{s} simPsi_{s0} + epsilonPsi_{s1} + epsilon^{2} Psi_{s2}.

Substituting these expansions into the equations (25 - 27 25 - 27ting terms at eacollectingitermsstratghtforward to find theachlutiordern the bulk ditfusisn timestraightforward

We denote the bulk diffusion timescale by (t_{d}) and the surface dissolution timescale by (t_{s}).

One motivation of the current study was to look at these longer timescale dynamics using the same set of tools as was used for the shorter timescale dynamics.

Consequently, products must be designed using the yield stress for the appropriate timescale.

Diffusion data were processed using the FSL Diffusion Toolbox.

Time since entering the study was used as the timescale.